g A rotating wheel requires 5.00 s to rotate 28.0 revolutions. Its angular velocity at the end of the 5.00-s interval is 96.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel

The angular acceleration of the wheel is 15.21 rad/s².

Explanation:

Given that,

Time = 5 sec

Final angular velocity = 96.0 rad/s

Angular displacement = 28.0 rev = 175.84 rad

Let be the angular acceleration

We need to calculate the angular acceleration

Using equation of motion

Put the value in the equation

......(I)

Again using equation of motion

Put the value in the equation

On multiply by 5 in both sides

....(II)

On subtract equation (I) from equation (II)

Hence, The angular acceleration of the wheel is 15.21 rad/s².