A T-bar tow is planned in a new ski area. At any one time, it willbe required, t

Question

A T-bar tow is planned in a new ski area. At any one time, it willbe required, to pull a maximum of 80 skiers up a 600-m slopeinclined at 15 degrees above the horizontal at a speed of 2.5 m/s.The coefficient of kinetic friction between the skiers skis and thesnow is typically 0.060. As the manager of the facility, what motorpower should you request of the construction contractor if the massof the average skier is 75 kg. Assume you want to be ready for anemergency and will order a motor whose power rating is 50 percentlarger than the bare minimum.

Explanation / Answer

F = nW(cos + sin)
P = 1.5Fv
P = 1.5nW(cos + sin)v
P = (1.5)(80)(75 kg)(9.80665 m/s^2)((0.060)cos15° +sin15°)(2.50 m/s)

P˜69,896 W ˜70 KW

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