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 = (\theta)/(t)`

`\theta = \omega * t`

`\theta = 3.5\ rad/s*0.75\ s`

The angular speed of the tire is

`\theta = 2.625\ radians`

Hence, this is the required solution.