Question

An auto race takes place on a circular track. A car completes one lap in a time of 25.0 s, with an average tangential speed of 53.6 m/s. Find

(a) the average angular speed and
(b) the radius of the track.

Answer 1

(a) Angular speed will be 0.2512 rad/sec

(b) Radius will be 213.375 m

Step-by-step explanation:

We have given time to complete 1 lap = 25 sec

We know that 1 lap =
`2\pi` radian

(a) So angular speed
`=(2\pi )/(25)=(2* 3.14)/(25)=0.2512rad/sec`

(B) Tangential velocity is given as v = 53.6 m/sec

We know that tangential velocity is given by

`v=\omega r`

So radius
`r=(v)/(\omega )=(53.6)/(0.2512)=213.375m`