A typical propeller of a turbine used to generate electricity from the wind cons

Question

A typical propeller of a turbine used to generate electricity from the wind consists of three blades as in the figure below. Each blade has a length of L = 37 m and a mass of m = 445 kg. The propeller rotates at the rate of 23 rev/min.

    (a) Convert the angular speed of the propeller to units of rad/s.
          rad/s
    
    (b) Find the moment of inertia of the propeller about the axis of rotation.
          J s2
    
    (c) Find the total kinetic energy of the propeller.
          J

A typical propeller of a turbine used to generate electricity from the wind consists of three blades as in the figure below. Each blade has a length of L = 37 m and a mass of m = 445 kg. The propeller rotates at the rate of 23 rev/min. (a) Convert the angular speed of the propeller to units of rad/s. rad/s (b) Find the moment of inertia of the propeller about the axis of rotation. J s^2 (c) Find the total kinetic energy of the propeller. J

Explanation / Answer

a) 23*2*3.142/60 = 2.408 rad/sec...

B) I = 3*(1/3)*M*L^2 = M*L^2 = 445*37^2 = 609205 kg*m^2.....

C) K = 0.5*I*w^2 =0.5*609205*2.408^2 = 1.766*10^6 J

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