A wind turbine is initially spinning at a constant angularspeed. As the wind\'s

Question

A wind turbine is initially spinning at a constant angularspeed. As the wind's strength gradually increases, the turbineexperiences a constant angular acceleration of 0.170 rad/s2. After making 2896 revolutions, its angular speed is136 rad/s. (a) What is the initial angular velocity of theturbine in
rad per second?

(b) How much time elapses while the turbine is speeding up inseconds? A wind turbine is initially spinning at a constant angularspeed. As the wind's strength gradually increases, the turbineexperiences a constant angular acceleration of 0.170 rad/s2. After making 2896 revolutions, its angular speed is136 rad/s. (a) What is the initial angular velocity of theturbine in
rad per second?

(b) How much time elapses while the turbine is speeding up inseconds? (a) What is the initial angular velocity of theturbine in
rad per second?

(b) How much time elapses while the turbine is speeding up inseconds?

Explanation / Answer

2896 revolutions =    18196.15radians . Now... .     final speed2 = initial speed2 + 2 acc * distance .     1362   = initialspeed2   +   2 * 0.170 *18196.15 .    initialspeed =    110.95 rad/s . time = change in speed / acc = (136 -110.95) / 0.17 =    147.35seconds

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