contestada

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

Respuesta :

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.