A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration of 0.180 rad/s2. After making 2874 revolutions, its angular speed is 139 rad/s.

Question

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration of 0.180 rad/s2. After making 2874 revolutions, its angular speed is 139 rad/s.
A. What is the initial angular velocity of the turbine?
B. How much time elapses while the turbine is speeding up?

bobpursley · Answer

wf^2=wi^2+2ad solve for wi, d= 2874*2PI, a is given, wf is given wf=wi+at solve for t