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A fan has four blades attached to a central shaft. The blades are If = 15 cm long and each blade have a uniformly distributed mass of mf = 0.13 kg. The fan spins up from rest to an angular speed of wf = 111 rad/s in tf = 0.85 s. a) Treat each fan blade as a uniform rod of length If rotating about its end. Enter an expression for the total change in the angular momentum AL of the fan during the spin up. Assume the angular momentum of the central shaft is insignificant. b) Give an expression for the average torque tf that the fan's motor exerts on the fan as it spins up. c) If the fan spins through 7.5 rotations during the spin up, calculate the work W in joules, that the fan's motor does on the fan.

A fan has four blades attached to a central shaft. The blades are If = 15 cm long and each blade have a uniformly distributed mass of mf = 0.13 kg. The fan spins up from rest to an angular speed of wf = 111 rad/s in tf = 0.85 s. a) Treat each fan blade as a uniform rod of length If rotating about its end. Enter an expression for the total change in the angular momentum AL of the fan during the spin up. Assume the angular momentum of the central shaft is insignificant. b) Give an expression for the average torque tf that the fan's motor exerts on the fan as it spins up. c) If the fan spins through 7.5 rotations during the spin up, calculate the work W in joules, that the fan's motor does on the fan.

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A fan has four blades attached to a central shaft. The blades are If = 15 cm long and each blade have a uniformly distributed mass of mf = 0.13 kg. The fan spins up from rest to an angular speed of wf = 111 rad/s in tf = 0.85 s. a) Treat each fan blade as a uniform rod of length If rotating about its end. Enter an expression for the total change in the angular momentum AL of the fan during the spin up. Assume the angular momentum of the central shaft is insignificant. b) Give an expression for the average torque Tf that the fan's motor exerts on the fan as it spins up. c) If the fan spins through 7.5 rotations during the spin up, calculate the work W in joules, that the fan's motor does on the fan.
Transcribed Image Text:A fan has four blades attached to a central shaft. The blades are If = 15 cm long and each blade have a uniformly distributed mass of mf = 0.13 kg. The fan spins up from rest to an angular speed of wf = 111 rad/s in tf = 0.85 s. a) Treat each fan blade as a uniform rod of length If rotating about its end. Enter an expression for the total change in the angular momentum AL of the fan during the spin up. Assume the angular momentum of the central shaft is insignificant. b) Give an expression for the average torque Tf that the fan's motor exerts on the fan as it spins up. c) If the fan spins through 7.5 rotations during the spin up, calculate the work W in joules, that the fan's motor does on the fan.
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