Question

A ski tow operates on a slope of angle 15.6 ∘ of length 340 m . The rope moves at a speed of 12.7 km/h and provides power for 53 riders at one time, with an average mass per rider of 69.0 kg .
Estimate the power required to operate the tow

Answer 1

Answer:

P = 34034.2 Watt

Explanation:

As we know that the slope angle is given as

$\theta = 15.6^0$

now the weight of the rider along the slope is given as

$W = mgsin\theta$

$W = 69(9.81)sin15.6$

$W = 182 N$

now total weight of all 53 riders along the slope is given as

$F = 53 W$

$F = 9647.5 N$

now the speed of the rope is given as

$v = 12.7 km/h = 3.53 m/s$

now the power required is given as

$P = F.v$

$P = 9647.5(3.53)$

$P = 34034.2 Watt$