Answer:
angular speed = 67.91 rad/s
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 :
[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{24.45 }{0.36}\\\\\omega=67.91\ rad/s[/tex]
So, the angular speed of the tire is 67.91 rad/s.