The angular velocity of a rotating rigid body increases from

The angular velocity of a rotating rigid body increases from 400 to 1,700 rev/min in 140 s. (Enter the magnitudes.)

What is the angular acceleration of the body (in rad/s²)?

Through what angle (in rad) does it turn in this 140 s?

Solution

angular acceleration = rate of change of angular velocity

= dw / dt

= 2pi/60 * ( 1700-400) / 140

= 0.97 rad/s2

angle turned = w*t

= 2pi/60* ( 1700-400) * 140

= 19059 rad