A lift (elevator) in a tall building is operated by an electric motor as shown inFigure QB3. The lift car is suspended from a cable that is wrapped around thesheave. The other end of the cable supports a counter-weight.The sheave has a diameter of 550 mm. The counter-weight has a mass of 1750kg and the combined mass of the lift car and passengers is 2000 kg. Theefficiency of the motor is 90%. Air resistance and friction between the cable andthe sheave should be ignored. When the lift car is being raised at a constantspeed of 2.50 m/s, determinei.) The angular velocity of the sheave[25%]ii.) The power output of the motor[25%]iii.) The power input to the motor[25%]iv.) The torque generated by the motor[25%]
A lift (elevator) in a tall building is operated by an electric motor as shown in
Figure QB3. The lift car is suspended from a cable that is wrapped around the
sheave. The other end of the cable supports a counter-weight.
The sheave has a diameter of 550 mm. The counter-weight has a mass of 1750
kg and the combined mass of the lift car and passengers is 2000 kg. The
efficiency of the motor is 90%. Air resistance and friction between the cable and
the sheave should be ignored. When the lift car is being raised at a constant
speed of 2.50 m/s, determine
i.) The angular velocity of the sheave
[25%]
ii.) The power output of the motor
[25%]
iii.) The power input to the motor
[25%]
iv.) The torque generated by the motor
[25%]
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