Question

An automobile traveling 88.0 km/h has tires of 72.0 cm diameter. (a) What is the angular speed of the tires about their axles

Answer 1

angular speed = 67.91 rad/s

Step-by-step explanation:

Given that,

The diameter of a tire, d = 72 cm

The radius of a tire, r = 36 cm = 0.36 m

Linear speed of an automobile, v = 88 km/h = 24.45 m/s

We need to find the angular speed of the tires about their axles. The relation between angular speed and angular speed is given by :

`v=r\omega\\\\\omega=(v)/(r)\\\\\omega=(24.45 )/(0.36)\\\\\omega=67.91\ rad/s`

So, the angular speed of the tire is 67.91 rad/s.