A wheel rotates through 5.5 radians in 2.6 seconds as it is brought to rest with constant angular acceleration

Question

What was the initial angular velocity of the wheel before braking began?

Answer 1

Ok, this is circular motion, the angle is 5.5 radians, and the time is 1.6 seconds.

If there was a constant angular acceleration, we can use the formula :

angle / time = (wo + wf) / 2

5.5 / 2.6 = 0 + wo / 2

wo = 4.23 rad/s

That was the initial angular velocity before braking

Hope that helped