Question

A 1200 kg car enters a round about (Area = 81 π) with velocity of 20 m/s, 1) find the Centripetal acceleration of the car. 2)find the required force to keep the car in it’s path

Answer 1

$A=81\pi=2\pi r\to r=40.5\ (m)$

1)

$a=v^2/r=20^2/40.5=9.88\ (m/s^2)$

2)

$F=m\frac{v^2}{r}\to F=1200\cdot9.88=11852\ (N)$ . Answer