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How to get radius of trail with velocity and angular velocity?

Physics Asked by person the human on September 27, 2021

If I know the velocity of something and the angular velocity of something, how could I figure out the distance between the object and the center it is rotating at?

example problem

I just need an equation for the range or diameter of the objects path with X and Y as used as above and, if possible, an example.

One Answer

According to your diagram the particle looks like is traveling in uniform circular motion. We can find the radius by using the relation

$v_{tangential}=omega r$

Answered by Danny LeBeau on September 27, 2021

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