Ask Question
6 January, 19:50

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 0.101 rad/s2. after making 2870 revolutions, its angular speed is 149 rad/s. (a) what is the initial angular velocity of the turbine? (b) how much time elapses while the turbine is speeding up?

+5
Answers (1)
  1. 6 January, 20:20
    0
    Let us list the given:

    constant acceleration = 0.101 rad/s^2

    angular distance = 2870 revolutions

    *since 1 revolution = 2π rad, this is equal to 5740π rad (2870*2π)

    angular speed = 149 rad/s

    From here, we could infer that it is easier to determine letter b first. To solve for time, just divide distance by speed

    b.) time = 5740π/149 rad/s = 121.03 seconds

    a.) For letter a, we use the formula for acceleration

    a = (v, final - v, initial) / t

    0.101 rad/s^2 = (149 rad/s - v, initial) / 121.03 s

    v, initial = 136.78 rad/s
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A wind turbine is initially spinning at a constant angular speed. as the wind's strength gradually increases, the turbine experiences a ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers