Posted by **Gaurav** on Thursday, January 26, 2012 at 5:00am.

Find the angular velocity of a body rotating with an acceleration of 2 rev/s square as it completes the 5th revolution after the start.

- physics -
**drwls**, Thursday, January 26, 2012 at 6:32am
I assume they want the angular velocity in radians/sec units.

After 5 revolutions, the angle turned is

A = 10 pi radians

The angular acceleration rate is

alpha = 4 pi radians/s^2

The time since starting is given by

A = (1/2)*alpha*t^2

t^2 = 2A/alpha = 5 sec^2

t = 2.236 s

w(at t = 2.236 s) = alpha*t = 28.1 rad/s

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