Question

A car tire rotates at a constant angular velocity of 3.5 rotations during a time interval of 0.75 seconds. What is the angular speed of the tire?

thanks in advance for any help!

Answer 1

Answer : $\theta = 2.625\ radians$

Explanation :  

Given that,

Angular velocity $\omega = 3.5\ rad/s$

Time $t = 0.75 s$

We know , the formula of angular velocity

$\omega = \dfrac{\theta}{t}$

$\theta = \omega \times t$

$\theta = 3.5\ rad/s\times0.75\ s$

The angular speed of the tire is

$\theta = 2.625\ radians$

Hence, this is the required solution.