104 - Wave Period and Frequency
In this video Paul Andersen explains how the period is the time between wave and the frequency is the number of waves per second. Period is measured in seconds and frequency is measured in Hertz. Wave period and wave frequency are reciprocals of one another. After watching this video you will be able to determine the period (and therefore the frequency) using a position vs. time graph of a wave.
Do you speak another language? Help me translate my videos:
http://www.bozemanscience.com/translations/
Music Attribution
Title: String Theory
Artist: Herman Jolly
http://sunsetvalley.bandcamp.com/track/string-theory
All of the images are licensed under creative commons and public domain licensing:
igjav, Ignacio javier. English: A Simple Red Lamp, Modern Look, July 27, 2011. Own work. http://commons.wikimedia.org/wiki/File:Bombilla_roja_-_red_Edison_lamp.svg.
———. Italiano: Icona Di Una Lampadina Spenta Realizzata in Svg, June 2, 2012. File:Bombilla amarilla - yellow Edison lamp.svg. http://commons.wikimedia.org/wiki/File:Gray_Edison_lamp.svg.
“Wave on a String.” PhET. Accessed April 13, 2015. http://phet.colorado.edu/en/simulation/wave-on-a-string.

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Bozeman Science

Great hands on project for any Trig class. Get the students out of their seats and make something to solidify their understanding of trigonometry.
Trig the ultimate fraction application.

Просмотров: 9770
ColfaxMath

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Expressing a Complex Number in Trigonometric or Polar Form, Ex 1. In this video, I show how to write a complex number in polar form. Example 1.

Просмотров: 235567
patrickJMT

Binary to Thermometer Code Conversion Using If and Else Block Verilog
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Просмотров: 1124
VHDL Language

როგორ უნდა შევქმნათ ექსელში ახალი ფუნქციები VBA საშუალებით.
Help us caption & translate this video!
http://amara.org/v/BK9r/

Просмотров: 560
probnoblem

Learn how to use cheap or free household items to make a surveying tool to do real life trigonometry. All math is shown. High resolution images: https://imgur.com/gallery/LcEH2. Note: I make a verbal (but not visual) error at around the 18:00 mark: The internal angles of a triangle add to 180-degrees. I wrote it correctly on the paper but my spoken narration was incorrect. Sorry for the mistake. Combine this surveying tool, used to compute height, with the following parallax tool, used to compute distance, to find the distance to and height of objects: https://youtu.be/ECtCir1ApE4.
TRIG AND SACRED GEOMETRY HOW TO DIY SERIES:
For introductory trig and sacred geometry videos and a tutorial on radian calculations, see other videos in this series:
- Part 1: How to Draw the Trig Unit Circle, Degrees, and Radians Using Sacred Geometry (https://youtu.be/FejH5tS_Rpk)
- Part 2: Sacred Trigonometry Art: Draw a Cube Inside Unit Circle (https://youtu.be/5fNbIBiqXp8)
- Part 3: A Radian Is a Portion of the Total Circumference of the Circle (https://youtu.be/cu7s8FirQAM)
- Part 4: How to Draw All Trig Functions Using Sacred Geometry (https://youtu.be/rfLCCdrKvEc)
- Part 5: How to Solve Trig Problems with Sacred Geometry: Part 1/2 (https://youtu.be/6zcRq1Y2zFE)
- Part 6: How to Solve Trig Problems with Sacred Geometry: Part 2/2 (https://youtu.be/ybuHGypyL8o)
- Part 7: How to Draw: Great Pyramid Triangle Using Phi, Fibonacci Spirals, and Sacred Geometry (https://youtu.be/YyxNqnIWomE)
- Part 8: How To Do Phi φ Trig Using Sacred Geometry: Part 1/3 (https://youtu.be/TYGGGk8rGMY)
- Part 9: How To Do Phi φ Trig Using Sacred Geometry: Part 2/3 (https://youtu.be/1elaR3YzvB4)
- Part 10: How To Do Phi φ Trig Using Sacred Geometry: Part 3/3 (https://youtu.be/-xGopWSi8V8)
- Part 11: DIY TRIG: How to Make a Surveying Tool to Find the Height of Anything https://youtu.be/-nQ0idJf0aA
- Part 12: FIBONACCI CUBES: How to Draw the Fibonacci Sequence Using Cubes https://youtu.be/JFIFFAd5hQU
- Part 13: How to Draw the Great Pyramid (Fast Motion with Music) https://youtu.be/UN-u6lLsBgc
- Part 14: PHI STAR: How to Draw Pentacle with Phi Proportions and Fibonacci Spirals (Sacred Geometry) https://youtu.be/2x5gIR6D3cY
- Part 15: Phi TOE: Phi is the Theory of Everything (Sacred Geometry) https://youtu.be/DcJGgigrrhk
- Part 16: DIY TRIG: How to Build a Parallax Tool and Find the Distance to Anything https://youtu.be/ECtCir1ApE4TRIG AND SACRED GEOMETRY HOW TO DIY SERIES:
For introductory trig and sacred geometry videos and a tutorial on radian calculations, see other videos in this series:
- Part 1: How to Draw the Trig Unit Circle, Degrees, and Radians Using Sacred Geometry (https://youtu.be/FejH5tS_Rpk)
- Part 2: Sacred Trigonometry Art: Draw a Cube Inside Unit Circle (https://youtu.be/5fNbIBiqXp8)
- Part 3: A Radian Is a Portion of the Total Circumference of the Circle (https://youtu.be/cu7s8FirQAM)
- Part 4: How to Draw All Trig Functions Using Sacred Geometry (https://youtu.be/rfLCCdrKvEc)
- Part 5: How to Solve Trig Problems with Sacred Geometry: Part 1/2 (https://youtu.be/6zcRq1Y2zFE)
- Part 6: How to Solve Trig Problems with Sacred Geometry: Part 2/2 (https://youtu.be/ybuHGypyL8o)
- Part 7: How to Draw: Great Pyramid Triangle Using Phi, Fibonacci Spirals, and Sacred Geometry (https://youtu.be/YyxNqnIWomE)
- Part 8: How To Do Phi φ Trig Using Sacred Geometry: Part 1/3 (https://youtu.be/TYGGGk8rGMY)
- Part 9: How To Do Phi φ Trig Using Sacred Geometry: Part 2/3 (https://youtu.be/1elaR3YzvB4)
- Part 10: How To Do Phi φ Trig Using Sacred Geometry: Part 3/3 (https://youtu.be/-xGopWSi8V8)
- Part 11: DIY TRIG: How to Make a Surveying Tool to Find the Height of Anything https://youtu.be/-nQ0idJf0aA
- Part 12: FIBONACCI CUBES: How to Draw the Fibonacci Sequence Using Cubes https://youtu.be/JFIFFAd5hQU
- Part 13: How to Draw the Great Pyramid (Fast Motion with Music) https://youtu.be/UN-u6lLsBgc
- Part 14: PHI STAR: How to Draw Pentacle with Phi Proportions and Fibonacci Spirals (Sacred Geometry) https://youtu.be/2x5gIR6D3cY
- Part 15: Phi TOE: Phi is the Theory of Everything (Sacred Geometry) https://youtu.be/DcJGgigrrhk
- Part 16: DIY TRIG: How to Build a Parallax Tool and Find the Distance to Anything https://youtu.be/ECtCir1ApE4
AUDIO/VIDEO EQUIPMENT AND SOFTWARE:
- All initial recording done using OBS (free)
- Editing done with Shotcut (free)
- Camera is Logitech HD 1080P
- Recording device is Logitech Gaming Headset
ABOUT CHANNEL:
- Channel Link: https://www.youtube.com/channel/UCTc2zU8GChivvfndzcEspIw?
- Channel artwork "Red Pill Sacred Geometry" courtesy of Giulia
- Flower of Life by Kick from the Noun Project
- All videos are licensed under the Creative Commons Attribution License 3.0 Unported (CC by 3.0) which means you are free to use this content so long as you attribute it to the Athenian Stranger YouTube Channel https://creativecommons.org/licenses/by/3.0/

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Athenian Stranger

Trigonometry is most just connected with planar right-edge triangles (each of which is a two-dimensional triangle with one edge equivalent to 90 degrees). The appropriateness to non-right-edge triangles exists, be that as it may, since any non-right-point triangle (on a level plane) can be cut up to make two right-edge triangles, most issues can be diminished to estimations on right-edge triangles. In this manner the dominant part of uses identify with right-point triangles. One exemption to this is circular trigonometry, the investigation of triangles on circles, surfaces of consistent positive arch, in elliptic geometry (a major piece of cosmology and route). Trigonometry on surfaces of negative ebb and flow is a piece of hyperbolic geometry.
A Basic Video Tutorial By Noor Academy
You can also join us on Facebook Please like our Facebook official page
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Noor Academy

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding the Height of an Object Using Trigonometry, Example 1. In this video, I find the height of a balloon by knowing a horizontal distance and an angle.

Просмотров: 152679
patrickJMT

GW Basic Program SPC( ) vs SPACE$( ) FUNTION for Creating Centerain Spaces on Screen in Print Statement.
Learn how to display spaces in print statement in gw basic.
Simple GW BASIC Programming Tutorial.
Start Learning Quickly and Free of Cost

Просмотров: 135
Basic Education

In this video David explains how a phase constant can be used in order to shift the graph of an oscillator left or right. Created by David SantoPietro.
Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/pendulum?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/period-dependance-for-mass-on-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Просмотров: 77511
Khan Academy Physics

Traveling Waves, Standing Waves, Resonances, String Instruments, Wind Instruments, Musical Instruments
Lecture Notes, Oscillating Sound Cavities - Fundamentals of Wind Instruments: http://freepdfhosting.com/e79d2b1fa9.pdf
Assignments Lecture 26, 27 and 28: http://freepdfhosting.com/20495b808e.pdf
Solutions Lecture 26, 27 and 28: http://freepdfhosting.com/7759a06b8d.pdf

Просмотров: 52425
Lectures by Walter Lewin. They will make you ♥ Physics.

In this video David explains the equation that represents the motion of a simple harmonic oscillator and solves an example problem. Created by David SantoPietro.
Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/period-dependance-for-mass-on-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/definition-of-amplitude-and-period?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Просмотров: 160062
Khan Academy Physics

A description of Simple Harmonic Motion, including its definition, and examples of SHM in the form of oscillating springs and pendulums.

Просмотров: 182511
DrPhysicsA

Featuring Dr. Stan Wagon, Professor of Mathematics - Macalester College. There is no better way to get someone's attention than with an assertion that just seems obviously wrong. Math is full of such things. The talk presents several surprising, even shocking, things from elementary mathematics, such as: A square wheel that rolls perfectly smoothly. A device that uses a normal rotating crankshaft to drill perfect square holes. An application of a non-circular wheel to sewage disposal. A shocking cake puzzle. Surprising new formulas for π. Benford's mysterious law of first digits. The Banach-Tarski Paradox, with constructible pieces.

Просмотров: 6445
UNCA Ramsey Library Video Production

MIT 2.003SC Engineering Dynamics, Fall 2011
View the complete course: http://ocw.mit.edu/2-003SCF11
Instructor: J. Kim Vandiver
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Просмотров: 67481
MIT OpenCourseWare

In this lesson we talk about how to find the distance between two points on the same great circle (i.e. same longitude, or two points on the equator).

Просмотров: 10490
Magic Monk

In this video David explains moment of inertia and the rotational version of Newton's second law and shows how to solve an example problem.
Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/more-on-moment-of-inertia?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/finding-torque-for-angled-forces?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Просмотров: 105282
Khan Academy Physics

For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Young's double slit experiment shows clearly that light is a wave. (In order to observe the wave behavior of light, the slit size and separation should be comparable or smaller than the wavelength of light.) Interference is described using real and complex numbers (in anticipation of quantum mechanics). Grating and crystal diffraction are analyzed.
00:00 - Chapter 1. Revisions to Geometric Optics
08:20 - Chapter 2. Young's double slit experiment
50:52 - Chapter 3. Interference and Diffraction of Light
Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses
This course was recorded in Spring 2010.
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

Просмотров: 162011
YaleCourses

Problem: Circle A has 1/3 the radius of circle B, and circle A rolls one trip around circle B. How many times will circle A revolve in total?
1982 SAT Question
In the figure above, the radius of circle A is one third the radius of circle B. Starting from position shown in figure, circle A rolls around circle B. At the end of how many revolutions of circle A will the center of circle A first reach its starting point?
(a) 3/2
(b) 3
(c) 6
(d) 9/2
(e) 9
Blog post summary: http://mindyourdecisions.com/blog/2015/07/05/everyone-got-this-sat-math-question-wrong-can-you-solve-it-sunday-puzzle/#.VZmO9flVhBc
Sources:
http://www.donaldsauter.com/rolling-circles.htm
http://www.nytimes.com/1982/05/25/us/error-found-in-sat-question.html
Also see the Coin Rotation Paradox
https://en.wikipedia.org/wiki/Coin_rotation_paradox
Update: some people have made really cool interactive worksheets at Geogebra. You should check these out!
Rolling Circles: http://tube.geogebra.org/m/787131
Rolling coin paradox: http://tube.geogebra.org/m/112822
A question about a rolling circle: http://tube.geogebra.org/m/107691
If you like my videos, you can support me at Patreon:
https://www.patreon.com/mindyourdecisions
Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.
My Blog: https://mindyourdecisions.com/blog/
Twitter: https://twitter.com/preshtalwalkar
Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965
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If you buy from the links below I may receive a commission for sales. This has no effect on the price for you.
My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 31 reviews)
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 4.6/5 stars on 3 reviews)
http://amzn.to/1o3FaAg
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 4.3/5 stars on 4 reviews)
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 5 reviews)
http://amzn.to/1NKbGlp
"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews)
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews)
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews)
http://amzn.to/XRm7M4

Просмотров: 1067878
MindYourDecisions

How to measure for an elliptical archway is a short video demonstrating how to gather the key measurements needed before placing an order with www.archwaysandceilings.com

Просмотров: 3902
Archways & Ceilings

In this lesson I explain the relationship between the lateral area of a right circular cone allows us to find the Area of a Surface of Revolution.
Rule for Area of a Surface of Revolution at 16:37 ,
Example with a horizontal axis of rotation at 19:11 NOTE: at 19:44 I should say "2PI times the definite integral from a to b..."
Example with a vertical axis of rotation at 28:02 ,
Example finishing with numerical integration with a calculator 33:57
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Просмотров: 8334
ProfRobBob

Piping,Welding,Non Destructive Examination-NDT
Common Piping Angles and their Solutions,Known and Unknown Angles and Angle Chart,Solving Rolling Offsets,mitered Pipe Cuts,Multipiece Mitered turns, "Y" Layout,90 deg. Saddle on (tees) Standard Weight Pipe,Pipe Circumference Divided into Equal Parts,90 deg.on (tees) extra Strong Pipe,90 deg. Eccentric Pipe Intersections, 45 deg. laterals,Concentric and Eccentric Supports on 90 deg. Long Radius Elbow,3 Types,Angle between Bolt Holes of Flanges, Pipe template layout,orange Peel head layout,Concentric Reducer Layout,Eccentric Reducer Layout,laying out Bolt Holes in Flanges,laying Out Ordinate Lines and lengths,Tank coil layout,Angle Iron Miter Cuts and Brackets,Special Offsets and Solutions,Slip or Spectacle Blind Data,Centers of Eccentric reducers and Eccentric Flanges,Centers of 15 deg.,221/2,30 & 60 deg. Butt Weld Elbows from 90 deg. Long Radius Elbows,Pipe Thread,Dimension of Weldolet on Pipe, Dimension of Socket Weld & Screwed Fittings, Dimension of Flanges Cast Steel Valves,Dimension of Flanges Cast Steel Fittings,Commercial Pipe Sizes & Welding Fittings,General Dimension of Welding Fittings,General Dimension of Forged Steel Flanges,Bolt,Gasket & Ring Joint Number Charts,Wrench Sizes,Drill Sizes for Pipe Taps,& Tap Drill Size Charts,Bolt Charts for Orifice Type Flange,Outside & Inside Diameter of Pipe& Flange Bores,Comparison Chart for Packing & gasket materials,Hand Signal for boom Operated Equipment,Hand Signal for Overhead & gantry Cranes,Useful Information,Pipe Expansion,Pipe Bends,Circle,Inches&Feet Converted to millimeters,Conversion Constant,Decimal Equivalents,Fractions& millimeters,Safe Loads,for Wire and Manila Rope Charts,Decimal of a Foot,minutes converted to Decimals of a Degree and trigonometric formulas,Pipe& Water Weight Per Line Foot &Feet head of Water to PSI,Wire bending,Symbols,Computation.
Playlist Piping https://www.youtube.com/playlist?list=PLcAzKoCrAxLSJr1taf2sDePXYE_wMgKsy

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PipingWeldingNonDestructiveExamination-NDT

Demonstrating when a pendulum is in simple harmonic motion. Want Lecture Notes? http://www.flippingphysics.com/shm-pendulum.html This is an AP Physics 1 topic.
Content Times:
0:09 Reviewing simple harmonic motion
0:24 Showing a pendulum in simple harmonic motion
1:47 Velocities in simple harmonic motion
2:15 Accelerations in simple harmonic motion
2:57 A pendulum’s restoring force
5:07 A maximum of 15°
Thank you to Anish, Kevin, and Olivia for being my “substitute students” in this video!
Next Video: Demonstrating What Changes the Period of Simple Harmonic Motion
http://www.flippingphysics.com/shm-period.html
Multilingual? Please help translate Flipping Physics videos!
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Previous Video: Horizontal vs. Vertical Mass-Spring System
http://www.flippingphysics.com/mass-spring-horizontal-vertical.html
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http://patreon.com/FlippingPhysics
Thank you to Jonathan Everett for being my Quality Control Team for this video.
http://flippingphysics.com/quality-control.html
Thank you to Youssef Nasr for transcribing the English subtitles of this video.

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Flipping Physics

More resources available at www.misterwootube.com

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Eddie Woo

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Related rates problems are an application of derivatives and implicit differentiation that allow us to figure out how fast one thing is changing in relation to how fast something else is changing. For example, we might be interested in how fast an airplane is traveling compared to how fast the angle between the plane and an observer on the ground is changing.
Related rates problems allow us to do that by using implicit differentiation. We'll usually take the derivative of the equation, taking the derivative of every variable with respect to time t. Then we'll plug in for what we know and solve for the value we're interested in.
The key to related rates problems is getting the right equation set up. You need to figure out what equation you can write that will include the value you need to solve for. In addition to that, you may have to come up with a second equation that will give you the value for a missing variable that you need to plug into your first equation.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
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PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

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Krista King

Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!
Join Our Geometry Teacher Community Today!
http://geometrycoach.com/Geometry-Lesson-Plans/?pa=MOOMOOMATH
How do you use the arc length of a circle to find the diameter of a circle?
We will look at some application problems using sector area and arc length
A pie is cut into 6 equal pieces. The arc length of one piece of pie is 5.4 cm. What is the diameter of the pie?
So our strategy is to always draw a picture.
Let's start by drawing a picture of the pie and assume it is a circular pie. Let's draw 6 equal pieces. If we have 360 degrees divided by into 6 pieces our central angle is going to be 60 degrees. This gives you an idea of what we are working with. What we will do is use a " Proportion Method" to find the circumference, and then use the circumference to calculate diameter.
The proportion method it works like this. We take the arc length and put it over the circumference and set it equal to measure of the angle over 360 degrees. So let's plug in what we know. The arc length equals is 5.4 and we don't know circumference which will become x, and angle measure equals 60 degrees.
We then cross product1 times x and 6 times 5= 32.4 which equals my circumference.
Next we can work backwards to find the diameter.
Circumference = Diameter times Pi which is 32.4. So I will take 32.4 and divide it by Pi and I get 10.31
The pie's diameter is 10.31 centimeters.
That is how you use the arc length to find diameter of a circle.
You may also enjoy...
Circles Radius Diameter & Pi Math Learning Upgrade
https://www.youtube.com/watch?v=eiHWHT_8WrE
Diameter of a Circle Calculate diameter given circumference
https://www.youtube.com/watch?v=XGYqyYz29zo
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Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"
https://www.youtube.com/watch?v=f3bsg8gaSbw
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MooMoo Math and Science

This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates.
http://mathispower4u.yolasite.com/

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Mathispower4u

End of Year projects in sixth grade are open ended, allowing students to pick a topic that they would like to explore on the own. Since students are given little guidance, they are allowed the freedom to find ways that work and don’t work, and see the importance of planning. Mr. Holloway takes you behind the scenes for his End of Year Math projects. Read more here: http://powhatanschool.org/pulse/in-the-classroom/end-year-math-projects/
interested in more math videos:
Algebra I Class | Concussion Testing and Standard Deviation: https://youtu.be/jo1Im4E_HDQ
Geometry Class | Field Day Overview: https://youtu.be/hwBJFXBDOvM
Talking MATHCOUNTS: https://youtu.be/58Y1xdgRGpQ
Geometry of Field Day: https://youtu.be/v-E_bIxBcnc
Camp Counselors: https://youtu.be/qJUT8LlOExI
Upper School Retreat 2015: https://youtu.be/c3AwuxICmWg
Upper School Retreat 2014: https://youtu.be/-NFGkcuNfsY

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PowhatanSchool

WEBSITE: http://www.teachertube.com Calculus Projects 2009

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TeacherTube Math

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Larson Texts

Second semester of Classical Physics avail FREE with lectures, assignments, quizzes/Tests, discussions, G+ Hangouts @ World Mentoring Academy(a MOOC) http://worldmentoringacademy.com/www/...
Help make Foreign Language CC's:
Dr. Lewin's complete MIT physics lectures, now on the YouTube channel World Mentoring Academy(a MOOC)
This video was first published on the YouTube channel MIT OpenCourseWare under the title "Walter Lewin Promo" in 2007.
Attribution: MIT OpenCourseWare
License: Creative Commons BY-NC-SA 3.0 US
To view a copy of this license, visit http://creativecommons.org/licenses/b....
More information at http://ocw.mit.edu/terms/.
This YouTube channel is independently operated. It is neither affiliated with nor endorsed by MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin.

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Michael Williams

Astronomy in Ancient, Medieval and Early Telescopic Era of India by Prof. Amitabha Ghosh, Department of Applied Mechanics, IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in

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nptelhrd

Introduces local variables as they appear in Matlab.

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DougBaldwinGeneseo

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum, and also to a slight degree on the amplitude, the width of the pendulum's swing.
From its discovery in around 1602 by Galileo Galilei, the regular motion of pendulums was used for timekeeping, and was the world's most accurate timekeeping technology until the 1930s. Pendulums are used to regulate pendulum clocks, and are used in scientific instruments such as accelerometers and seismometers. Historically they were used as gravimeters to measure the acceleration of gravity in geophysical surveys, and even as a standard of length. The word 'pendulum' is new Latin, from the Latin pendulus, meaning 'hanging'.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

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Audiopedia

Subscribe Here http://goo.gl/2XXaLS
For more cool math videos visit our site at http://mathgotserved.com or http://youtube.com/mathsgotserved
RELATED RATES
#1 Circles Oil is dropping from a punctured tank onto a circular oil pool on the ground with radius r. Find the following and state their meanings and units.
a) dr/dt
b)dA/dt
c) How fast is the radius changing when the radius is 2 cm and the area is changing at 20p cm2/min
#2 Cones:A conical pit is being filled with concrete. The pit has a base radius of 10 cm, and a depth of 30 cm. The pit is being filled so that the height of water rises at 2 cm/sec. Find the following in terms of V and h, (include meaning & units).
a) dh/dt
b)dV/dt
c) How fast is pit being filled at the point in time that the water level is 4cm.
#3 Spheres A sphere being inflated at 10ft^3/sec How fast is the radius increasing once the radiums is 4ft ?
#4 Ladder: A ladder 13 ft long is sliding down a wall. At the moment the base is 12ft from the wall, the base of the ladder is moving at 5 ft/sec. How fast is the top of the ladder moving at this moment?
#5 Boat and Winch: A winch 20 feet above sea level is used to reel in a rope connected to a boat at 2 ft/sec. How fast is the boat moving when the rope is 45 feet in length.
Ice Cube: An ice cube melts uniformly at a rate of 27cm3/sec. If the cube retains its perfect form while it is melting, at what rate are the sides shrinking when each side is 3 cm long ?
#Inverted conical Tank: water runs out of a conical tank at 7ft^3/min. The tank has a base of 10ft and a depth of 12 ft. How fast is the water level rising when the water is 5ft deep
#7 Trapezoidal Trough:The ends of a horizontal water trough is an isoceles trapezoidal prism. The length is 8 feet and the lower base is 4 feet. The upper base is 10 feet and the depth of the trough is 2 feet. If the water level is rising at 3 feet/min, when the depth of the water is 1 foot, how fast is water being poured into the trough?
#9 Hot air Balloon:A hot air balloon is rising vertically from a level platform. A range finder 400 feet from the lift point is tracking the hot air balloon. At the moment the angle of elevation of the range finder is 60 degrees , the angle of elevation is increasing at .10 degrees/minute. How fast is the balloon rising at that moment?
Consider a sphere of radius 10cm.
If the radius changes 0.1cm (a very small amount) how much does the volume change?
Water is draining from a cylindrical tank at 3 liters/second. How fast is the surface dropping?
Truck A travels east at 40 mi/hr.
Truck B travels north at 30 mi/hr.
How fast is the distance between the trucks changing 6 minutes later?
A particle moves along the curve C ú »" Ä B fi As it reaches $
the pointa b #fl $ fl the y-coordinate is increasing at a rate of
4 cm/sec. How fast is the x-coordinate of the point changing
at this instant?
3. Suppose where is a constant and when
4. Two cars start moving from the same point. One travels south at
60 m/hr and the other travels west at 25 m/hr. At what rate is
the distance between the cars increasing two hours later?
5. A plane flying horizontally at an altitude of 1 mile and a speed
of 500 mph passes over a radar station. Find the rate at which
the distance from the plane to the station is increasing when it
is 2 miles away from the station.
6. A conical water tower has a height of 12 ft and a radius of 3 ft.
Water is pumped into the tank at a rate of 4 ft /min. How fast is $
the water level rising when the water level is 6 ft
A man walks along a straight path at a speed of 4 ft/s.
A searchlight is located on the ground 20 ft from the path and is kept focused on the man.
§
§At what rate is the searchlight rotating
when the man is 15 ft from the point on
the path closest to the searchlight?
A police cruiser, approaching a right-angled intersection from the north, is chasing a speeding
car that has turned the corner and is now moving straight east. When the cruiser is 0.6
mi north of the intersection and the car is 0.8 mi to the east, the police determine with radar
that the distance between them and the car is increasing at 20 mph. If the cruiser is moving
at 60 mph at the instant of measurement, what is the speed of the car?
The voltage V (volts), current I (amperes),
and resistance R (ohms) of an electric circuit like the one shown
here are related by the equation V IR. Suppose that V is
increasing at the rate of 1 volt sec while I is decreasing at the
rate of 13 ampsec. Let t denote time in sec.
A trough is 15 ft long and 4 ft across the top
as shown in the figure. Its ends are isosceles triangles with
height 3 ft. Water runs into the trough at the rate of 2.5 ft3min.
How fast is the water level rising when it is 2 ft deep?
Sliding Ladder A 13-ft ladder is leaning against a house (see
figure) when its base starts to slide away. By the time the base is
12 ft from the house, the base is moving at the rate of 5 ft sec.

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maths gotserved

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum and also on the amplitude of the oscillation. However, if the amplitude is small, the period is almost independent of the amplitude.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video

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encyclopediacc