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

## Answer This Question

## Related Questions

- Physics - A wheel starts rotating from rest with uniform angular acceleration....
- science- physics - A rotating wheel requires 4.17 s to rotate through 37 rev. ...
- physics - A 1.80 m radius playground merry-go-round has a mass of 120 kg and is ...
- Physics - A gymnast is performing a floor routine. In a tumbling run she spins ...
- Physics - A spinning disk of mass 5.0 kg and radius 0.25m is rotating about an ...
- physics - A spinning disk of mass 5.0 kg and radius 0.25m is rotating about an ...
- physics - drwls? - A disk rotates about its central axis starting from rest and ...
- mechanics - A turntable rotating at 78 rev/min slow down and stops in 32 second ...
- physics - A disk rotates about its central axis starting from rest and ...
- physics - A 1.80 m radius playground merry-go-round has a mass of 120 kg and is ...

More Related Questions