Angular Velocity - Revision history

Joshamathew at 00:24, 6 December 2015

2015-12-06T00:24:06Z

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	== See also ==		== See also ==
	You should also check out the		You should also check out the
	Right Hand Rule.		Right Hand Rule
	Angular Momentum		Angular Momentum
	Linear Velocity		and Linear Velocity

	[[File:Wiki page 2.GIF]]		[[File:Wiki page 2.GIF]]

Joshamathew at 00:18, 6 December 2015

2015-12-06T00:18:07Z

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	[[Category:]		[[Category:Angular Momentum]]

Joshamathew: /* Examples */

2015-12-06T00:03:33Z

Examples

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	==Examples==		==Examples==

	~~Be sure to show all steps in your solution and include diagrams whenever possible.~~

	===Simple===		===Simple===

Joshamathew at 00:01, 6 December 2015

2015-12-06T00:01:23Z

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	[[File:Wiki_page_4.gif]]CLAIMED By Josh Mathew		[[File:Wiki_page_4.gif]]CLAIMED By Josh Mathew

	Angular ~~Velocity~~ describes the rate of change around a center of mass. It is measured in radians/second.		Angular velocity describes the rate of change around a center of mass. It is measured in radians/second.

	==Angular Momentum also known as Rotational velocity==		==Angular Momentum also known as Rotational velocity==

	In order to find out the velocity of things which revolve around a body we have to take account not ~~just~~ speed but also the radius of which it is revolving around. The central angle in which objects rotate around is constantly changing, therefore ~~that is why~~ linear velocity is not adequate to measure the rate of change of the angle. Angular velocity is this rate of change with respect to time. In order to figure out the direction of angular velocity we can use the ~~Right~~ hand rule. It is important to note the definition of linear velocity, which is the rate of change of position measured in meters with respect to time. The only difference between the two is the fact that the object is rotating around something. The direction is perpendicular to the plane of the rotation [[http://whatis.techtarget.com/definition/angular-velocity-rotational-velocity]]. Often angular velocity is used to figure out rotational angular momentum and very useful when figuring out the speed of something rotating or orbiting around something.		In order to find out the velocity of things which revolve around a body, we have to take into account not only the speed, but also the radius of which it is revolving around. The central angle in which objects rotate around is constantly changing, therefore linear velocity is not adequate to measure the rate of change of the angle. Angular velocity is this rate of change with respect to time. In order to figure out the direction of angular velocity we can use the "right hand rule." It is important to note the definition of linear velocity, which is the rate of change of position measured in meters with respect to time. The only difference between the two is the fact that the object is rotating around something. The direction is perpendicular to the plane of the rotation [[http://whatis.techtarget.com/definition/angular-velocity-rotational-velocity]]. Often angular velocity is used to figure out rotational angular momentum and very useful when figuring out the speed of something rotating or orbiting around something.

	[[File: Physics_wiki_picture.png]]		[[File: Physics_wiki_picture.png]]
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	===A Mathematical Model===		===A Mathematical Model===

	Angular ~~Momentum~~ of an object can be described as a the radius of the object of which it is rotating around its center of mass ~~diveded~~ by its linear velocity.		Angular momentum of an object can be described as the radius of the object of which it is rotating around its center of mass divided by its linear velocity.

	ω = dθ/dt		ω = dθ/dt
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	===A Computational Model===		===A Computational Model===

			Check out this code which gives an example of angular velocity. It is an example found at http://vpython.org/contents/contributed/rotating_book.py
	Check out this code which gives an example of angular velocity. It is an example found http://vpython.org/contents/contributed/rotating_book.py

	[[File:Screenshot_2015-12-05_at_2.02.15_PM.png]]		[[File:Screenshot_2015-12-05_at_2.02.15_PM.png]]
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	==Examples==		==Examples==

	Be sure to show all steps in your solution and include diagrams whenever possible		Be sure to show all steps in your solution and include diagrams whenever possible.

	===Simple===		===Simple===

	A circular wheel of 0.50 m radius is moving with a speed of 10 m/s. Find the angular velocity?		A circular wheel of 0.50 m radius is moving with a speed of 10 m/s. Find the angular velocity?

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	What is the rotational speed of the satellite after the collision?		What is the rotational speed of the satellite after the collision?

	This question can be answered ~~through~~ the conservation of angular momentum.		This question can be answered using the conservation of angular momentum.
	The main equation needed is Iw(intial) (of the satellite) + hmv1sin(90-theta)(of the space junk) = Iw(final)(satellite) + hmv(final)sin(90-theta)(of the space junk)		The main equation needed is Iw(intial) (of the satellite) + hmv1sin(90-theta)(of the space junk) = Iw(final)(satellite) + hmv(final)sin(90-theta)(of the space junk)
	We are asked to solve for the final angular velocity, therefore		We are asked to solve for the final angular velocity, therefore

Joshamathew: /* External links */

2015-12-05T21:20:57Z

External links

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	http://www.wired.com/2014/04/can-you-slow-down-a-day-using-angular-momentum/		http://www.wired.com/2014/04/can-you-slow-down-a-day-using-angular-momentum/

			http://milesmathis.com/angle.html

	==References==		==References==

Joshamathew: /* History */

2015-12-05T21:20:27Z

History

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	==History==		==History==

	There is no person who officially "discovered" angular velocity. However ideas of angular momentum and inertia were initially formulated by Descartes, from there Issac Newton used it to help formulate his law of motions. When the two are put together law of conservation of momentum and also related Euler we also able to explicitly state that F=MA		There is no person who officially "discovered" angular velocity. However ideas of angular momentum and inertia were initially formulated by Descartes, from there Issac Newton used it to help formulate his law of motions. When the two are put together law of conservation of momentum and also related Euler we also able to explicitly state that F=MA [[http://milesmathis.com/angle.html]]

	== See also ==		== See also ==
	You should also check out the		You should also check out the

Joshamathew at 21:18, 5 December 2015

2015-12-05T21:18:56Z

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	Angular velocity is very useful when we need to figure out the angular momentum or even the rotational kinetic energy. Also it gives us another sense of how fast something is going, since linear velocity will not describe the velocity of something revolving.		Angular velocity is very useful when we need to figure out the angular momentum or even the rotational kinetic energy. Also it gives us another sense of how fast something is going, since linear velocity will not describe the velocity of something revolving.
	As most engineering majors are very physics intensive, it can be especially useful in practically any engineering application. Also it can also tell us certain aspects of a rotating object, or something going around a radius. Specifically to my major as an Industrial Engineer I can increase angular velocity and angular momentum to increase the efficiency in machinery which may be rotated and used to create products on an assembly line.		As most engineering majors are very physics intensive, it can be especially useful in practically any engineering application. Also it can also tell us certain aspects of a rotating object, or something going around a radius. Specifically to my major as an Industrial Engineer I can increase angular velocity and angular momentum to increase the efficiency in machinery which may be rotated and used to create products on an assembly line.
	A fairly interesting concept is that ballerinas and skaters use the conservation of angular momentum all of the time, in order to put on a show and spin faster they first out stretch their arms and one of their legs to increase their moment of inertia. Then to increase their spin or angular velocity they suddenly bring in their limbs therefore decreasing their moment of inertia, but due to the conservation of angular momentum their angular velocity increases to compensate for the decrease in the moment of inertia.		A fairly interesting concept is that ballerinas and skaters use the conservation of angular momentum all of the time, in order to put on a show and spin faster they first out stretch their arms and one of their legs to increase their moment of inertia. Then to increase their spin or angular velocity they suddenly bring in their limbs therefore decreasing their moment of inertia, but due to the conservation of angular momentum their angular velocity increases to compensate for the decrease in the moment of inertia.[[http://www.bsharp.org/physics/spins]]

	==History==		==History==
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	https://en.wikipedia.org/wiki/Angular_velocity		https://en.wikipedia.org/wiki/Angular_velocity
			Problems and some photos were taken from web assign homework
			Other photos were taken from Google Images


	[[Category:]		[[Category:]

Joshamathew at 21:14, 5 December 2015

2015-12-05T21:14:44Z

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	==Angular Momentum also known as Rotational velocity==		==Angular Momentum also known as Rotational velocity==

	In order to find out the velocity of things which revolve around a body we have to take account not just speed but also the radius of which it is revolving around. The central angle in which objects rotate around is constantly changing, therefore that is why linear velocity is not adequate to measure the rate of change of the angle. Angular velocity is this rate of change with respect to time. In order to figure out the direction of angular velocity we can use the Right hand rule. It is important to note the definition of linear velocity, which is the rate of change of position measured in meters with respect to time. The only difference between the two is the fact that the object is rotating around something. The direction is perpendicular to the plane of the rotation. Often angular velocity is used to figure out rotational angular momentum and very useful when figuring out the speed of something rotating or orbiting around something.		In order to find out the velocity of things which revolve around a body we have to take account not just speed but also the radius of which it is revolving around. The central angle in which objects rotate around is constantly changing, therefore that is why linear velocity is not adequate to measure the rate of change of the angle. Angular velocity is this rate of change with respect to time. In order to figure out the direction of angular velocity we can use the Right hand rule. It is important to note the definition of linear velocity, which is the rate of change of position measured in meters with respect to time. The only difference between the two is the fact that the object is rotating around something. The direction is perpendicular to the plane of the rotation [[http://whatis.techtarget.com/definition/angular-velocity-rotational-velocity]]. Often angular velocity is used to figure out rotational angular momentum and very useful when figuring out the speed of something rotating or orbiting around something.

	[[File: Physics_wiki_picture.png]]		[[File: Physics_wiki_picture.png]]
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	This section contains the the references you used while writing this page		This section contains the the references you used while writing this page

			https://en.wikipedia.org/wiki/Angular_velocity

	[[Category:]		[[Category:]

Joshamathew at 21:12, 5 December 2015

2015-12-05T21:12:26Z

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	===Further reading===		===Further reading===

	~~Books~~, ~~Articles or other print media on this topic~~		Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 11

	===External links===		===External links===
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	This section contains the the references you used while writing this page		This section contains the the references you used while writing this page

	[[Category:~~Which Category did you place this in?]~~]		[[Category:]

Joshamathew at 21:09, 5 December 2015

2015-12-05T21:09:53Z

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	the final answer is 9.822, we know the direction is positive (out of the page) because of the right hand rule.		the final answer is 9.822, we know the direction is positive (out of the page) because of the right hand rule.

			[[File:Screenshot_2015-12-05_at_4.08.51_PM.png]]

	==Connectedness==		==Connectedness==