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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?

  • physics -

    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.

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