Question

A car accelerates for 10 seconds. During this time, the angular

velocity of the wheels of the car increases from 10 rad/s to 25 rad/s.
What is the angular acceleration of the wheels during this time?
e

Answer 1

the angular acceleration of the car is 1.5 rad/s²

Step-by-step explanation:

Given;

initial angular velocity,
`\omega_i` = 10 rad/s

final angular velocity,
`\omega_f` = 25 rad/s

time of motion, t = 10 s

The angular acceleration of the car is calculated as follows;

`a_r = (\omega_f - \omega_i )/(t) \\\\a_r = (25-10)/(10) = 1.5 \ rad/s^2`

Therefore, the angular acceleration of the car is 1.5 rad/s²