Question

A race car has a centripetal acceleration of 13.33 `m``/``s^2` as it goes around a curve. If the curve is a circle wilh radius 30 m, what is the speed of the car?

Answer 1

`=20\ \text{ m/s}`

Explanation:

The centripetal acceleration `a_c=13.33\ m/s^2` acting on a race car moving with a linear velocity `v` on a curved path radius `r=30\ m` is given as follows

`a_c=v^2/r`

`v=\sqrt{ra_c}`

`=\sqrt{30\cdot 13.33}`

`=20\ \text{ m/s}`