posted by kyle on .
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 0.170 rad/s2. After making 2870 revolutions, its angular speed is 131 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?
a. d = 2870rev * 6.28rad/rev = 18,024 rad.
t = 18,024rad/131rad/s = 138 s.
V = Vo + a*t = 131 rad/s
Vo + 0.170*138 = 131
Vo = 131-23.4 = 108 rad/s.
b. t = 138 s.