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

Question

A T-bar tow is planned in a new ski area. At any one time, itwill be required, to pull a maximum of 80 skiers up a 600-m slopeinclined at 15 degrees above the horizontal at a speed of 2.5m/s. The coefficient of kinetic friction between teh skiersskis and the snow is typically 0.960. As the manager of thefacility, what motor power should you request of the constructioncontractor if the mass of the average skier is 75 kg. Assumeyou want to be ready for any emergency and will order a motor whosepower rating is 50 percent larger 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)((0.960)cos15° +sin15°)(2.50 m/s)

P˜261,714 W ˜ 262 KW

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