A rotating wheel requires a time Δt = [01]s to rotate 37.0 revolutions. Its angular speed at the end of the interval is ω = 75.9 rad/s. What is the constant angular acceleration (rad/s2 ) of the wheel?

Here is the correct question

A rotating wheel requires a time Δt = 4.28 seconds  to rotate 37.0 revolutions. Its angular speed at the end of  4.28 seconds interval is ω = 75.9 rad/s. What is the constant angular acceleration (rad/s² ) of the wheel?

10.09 rad/s²

Explanation:

Given that :

Then since 1 revolution =

The first equation of motion for wheel can  be expressed as :

where = 75.9 rad/s

From the second equation of the motion

where ;

t = 4.28 s

Then

Thus, the angular acceleration of the wheel = 10.09 rad/s²

f=ma a/f/m a= 480/60 a = 8m/s/s that is quick wow