Your engineering firm is asked to specify the maximum load for the elevators in

Question

Your engineering firm is asked to specify the maximum load for the elevators in a new building. Each elevator has mass 520 kg when empty and maximum acceleration 2.21 m/s2 . The elevator cables can withstand a maximum tension of 18.6 kN before breaking. For safety, you need to ensure that the tension never exceeds two-thirds of that value.

A. What do you specify for the maximum load? Express your answer with the appropriate units.

B. How many 65.0-kg people is that? Express your answer as an integer.

Explanation / Answer

let the mass of maximum load is m

maximum acceleration , a = 2.21 m/s^2

as the acceleration is maximum in the cable when it is accelerating upwards

Tmax = ( m + 520) *(g + a )

18600 = (520 + m)*(9.8 + 2.21)

solving for m

m = 1028 Kg

the maximum load is 1028 Kg

b)

let the number of person is N

N = 1028/65

N = 15.8 = 15

there can be 15 persons in the lift

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