Question

In a carnival ride the passengers travel in a circle of radius $5$m, making one complete circle in $4$ sec. What is the acceleration?

Answer 1

Radius $r=5m$

Time period ,$T=4s$

$T=\frac{2\pi }{\omega }$

$\omega =\frac{2\pi }{T}=\frac{2\pi }{4}=0.5\pi$

Acceleration, $a=r{\omega }^2$

$=5\times 0.25\times {\pi }^2$

$=1.25{\pi }^2=12.34m/s^2$