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# circular motion - how to prove/derive v=rw?

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1. title says it all
2. You're moving in a circle of radius r, so the distance you travel in one full trip round the circle is 2.pi.r and you're doing it in one time period, T

speed, v = distance/time = 2.pi.r/T

w = angular speed, and you complete 2 pi radians in time T, so w = 2pi/T

so v=rw
3. Thankyou!

you can have a little dribble of green tomorrow! (alredy repped today )
4. Heh, thankyou muchly I shall look forward to it
5. or you could use calculus to prove it:

If your moving on a circle, your radius is not changing with time so

so
6. (Original post by div curl F = 0)
or you could use calculus to prove it:

If your moving on a circle, your radius is not changing with time so

so
ahhh clever!

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