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

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}#