A lift (elevator) in a high building transports 12 passengers, each of mass 65 kg, through a vertical height of 150 m in a time of 64 s.
(i) Calculate the power needed to transport the passengers through this height.
(ii) The lift (elevator) is driven by an electric motor. State a reason, other than
friction, why the power supplied by the motor is greater than the power
needed to transport the passengers
Answers
Answered by
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18.28 kW is the power needed to transport the passengers
Explanation:
12 passenger of 65 kg
=> 12 * 65 = 780 kg
m = 780 kg
g = 10 m/s²
h = 150 m
Energy = mgh
= 780 * 10 * 150
= 1170 kNm ot kJoule
Power = Energy / time
=> Power = 1170 / 64 kWatt
=> Power = 18.28 kWatt
power needed to transport the passengers through this height. = 18.28 kWatt
Energy losses are there hence the power supplied by the motor is greater than the power needed to transport the passengers
Also we have not considered here lift weight also
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