Angular Velocity

CLAIMED By Josh Mathew

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

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.

A Mathematical Model

ω = R/v ω= The greek symbol of omega symbolizes angular velocity R= The radius of the body of which is rotates, measured in radians V= Linear Velocity

ω = dθ/dt

dθ= rate of change of the radians or degrees dt= rate of change of time throughout the interval

L = Iω L= Angular Momentum I = Moment of inertia

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

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

Simple

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

The angular velocity is given by ω = dθ/dt dθ= 10 dt= .5 = 20 rads/ sec

Connectedness

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 to figure out if one is a mechanical engineering major. Also it can also tell us certain aspects of a rotating object, or something going around a radius.

1. How is it connected to your major?
2. Is there an interesting industrial application?

History

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why. 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

See also

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

Further reading

Books, Articles or other print media on this topic

External links

Internet resources on this topic http://jonathanturley.org/2013/12/29/the-cubli-laws-of-motion-and-angular-momentum-at-play/

References

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