Answer:
Power required to drive the escalator shall be equal to the rate at which the energies of the persons is increased.
[tex]Energy=n\times mass\times g\times h\\\\\therefore Power=n\times mass\times g\times \frac{dh}{dt}\\\\Power=50\times 75\times 9.81\times 0.6sin(45)\\\\Power=15.607kW[/tex]
As we infer from the above equation If the velocity of the escalator is doubled then the Power required will also be doubled and become 31.215kW
