An escalator is used to move 20 passengers every minute from the first floor of a department

store to the second. The second floor is located 5.20 meters above the first floor. The average

passenger's mass is 54.9 kg. Determine the power requirement of the escalator in order to

move this number of passengers in this amount of time.

Question

English

Alden Vasquez

9 January, 18:17

An escalator is used to move 20 passengers every minute from the first floor of a department

store to the second. The second floor is located 5.20 meters above the first floor. The average

passenger's mass is 54.9 kg. Determine the power requirement of the escalator in order to

move this number of passengers in this amount of time.

+1

Answers (1)

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Tamia Stewart · Answer 1

W1 passenger = F • d • cos (0 deg)

W1 passenger = (54.9 kg • 9.8 m/s2) • 5.20 m = 2798 J (rounded)

W20 passengers = 55954 J (rounded)

P = W20 passengers / time = (55954 J) / (60 s)