An escalator with 35° incline is designed to have two passengers per step. find number of persons moved per hour for the design if velocity is 50cm/mins and the step tread is 600mm.

The escalator disposes 58 passengers each hour.

Explanation:

The velocity diagram of the escalator is shown in the attached figure

We can obtain the vertical distance that the escalator moves in 1 hour as

Thus in 1 hour the last thread moves 1720.73 cm

Now it is given that 1 thread = 600 mm =60 cm

Thus the number of times the last thread moves equals

Since each time last thread moves it disposes 2 passengers thus the number of passengers disposed when the thread moves 28.68 times equals

Thus the escalator disposes 58 passengers each hour.

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