Question

A basketball player spins the ball with an angular acceleration of 10 rad/s2. What is the ball’s final angular velocity if the ball starts from rest and the acceleration lasts for 3 seconds

Answer 1

Step-by-step explanation:

It is given that,

The angular acceleration of the basketball,
`\alpha=10\ rad/s^2`

Time taken, t = 3 seconds

We need to find the ball’s final angular velocity if the ball starts from rest. It can be calculated using definition of angular acceleration i.e.

`\alpha=(\omega_f-\omega_i)/(t)`

`\omega_i=0\ (rest)`

`\omega_f=\alpha t`

`\omega_f=10\ rad/s^2* 3\ s`

`\omega=30\ rad/s`

So, the ball's final angular velocity is 30 rad/s. Hence, this is the required solution.