Why is the acceleration on a point on a wheel what it is.

[Chronothread]

Hello. My brain doesn't seem to be working at the moment. If a wheel's center is traveling at V₀, why is the acceleration of a point on the edge of the wheel equal to V₀²/r where r is the radius of the wheel? Thanks for your time.

Edit:

Oops should have have put a question mark in the title... meh.

 

[tiny-tim]

?

If a wheel's center is traveling at V₀, why is the acceleration of a point on the edge of the wheel equal to V₀²/r where r is the radius of the wheel?.

Hi Chronothread!

(you didn't say , but i assume the wheel is rolling, along a flat surface )

Use centripetal acceleration …

Hint: what is the angular velocity of the wheel?