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A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually...

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 0.159 rad/s2. After making 2870 revolutions, its angular speed is 132 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?

2. A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.11 x 104 rad/s to an angular speed of 4.49 x 104 rad/s. In the process, the bit turns through 2.83 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 9.29 x 104 rad/s, starting from rest?

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