A wind turbine is initially spinning at a constant angular speed.As wing strengt
ID: 1725957 • Letter: A
Question
A wind turbine is initially spinning at a constant angular speed.As wing strength gradually increases, the turbine experiences aconstant angular acceleration of 0.160 rad/s^2. After moving 2821revolutions, angular speed is 135 rad/sA) What was the initial angular velocity of the turbine (inrad/s)? B) What was the time elapsed while the turbine is speeding up(in seconds)?
A) What was the initial angular velocity of the turbine (inrad/s)? B) What was the time elapsed while the turbine is speeding up(in seconds)?
Explanation / Answer
Given the angular acceleration = 0.16 rad/s the angular displacement = 2821(2) = 17715.88 rad the final angular speed f = 135 rad/s (a) f2 - i2 = 2 i= (2 + f2 ) (b) Now f - i =2t then t = ( f -i) / 2 Plug the values and solve it