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?

1 Answer

=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}