Question

The blades on the wind turbine are turning with an angular speed of ω_o = 30 rpm in the clockwise direction. If the blade length is L = 36.6 m and they are given a constant angular acceleration of α= 0.2 rad/s² in the clockwise direction, determine:

(a) the angular velocity and

(b) the magnitude of the acceleration of point A on the tip of the blade

when t = 3 minutes.

Answer 1

a) Using first equation of rotation,

final angular velocity w = w0 + α t where w0 is initial angular velocity and α is angular acceleration

   = 30*2pi/60 rad/s + 0.2 rad/s^2*3*60 s

= 3.14 rad/s + 36 rad/s

= 39.14 rad/s answer

b) acceleration a = αL = 0.2*36.6 = 7.32 m/s^2 answer