An airplane propeller is 2.08 m in length (from tip to tip) and has a mass of 11

Question

An airplane propeller is 2.08 m in length (from tip to tip) and has a mass of 117kg. When the airplane's engine is first applied, it applies a constant torque of 950 Nm to the propeller, with starts form rest a) What is the angular accelerations of the propeller? b) what is the propellers angular speed after making 5.00 revolutions? c) how much work is done by the engine during the first 5.00 revolutions? d) what is the instantaneous power output of the motor at the instant that the propeller has turned through 5.00 revolutions?

Explanation / Answer

a) torque = I

950= (1/12 *117*2.08^2)

=950/ (1/12 *117*2.08^2)=22.52

b)

^2=0^2 + 2

^2=0^2 + 2*22.52*5*2pi

=37.62 rad/s

c) W = dKE = 1/2 I ^2 - 0 = 0.5*(1/12 *117*2.08^2)*(37.62)^2=29850J

d) P = = 950*37.62=35739 W

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