Question

An auto race takes place on a circular track. A car completes one lap in a time of 18.0 s, with an average tangential speed of 43.4 m/s. Find the average angular speed and the radius of the track.

(a) the average angular speed
rad/s

(b) the radius of the track
m

Answer 1

Answer:

(A) 0.3488 rad/sec

(B) 124.246 m                

Explanation:

We have given car completes one revolution in 18 sec'

So time period T= 18 sec

Tangential speed v = 43.4 m/sec

(A) Angular velocity is given by $\omega =\frac{2\pi }{T}=\frac{2\times 3.14}{18}=0.3488rad/sec$

(B) Tangential velocity is given v = 43.4 m /sec

We know that $v=\omega r$

$r=\frac{v}{\omega }=\frac{43.4}{0.3488}=124.426m$