Question

A ski tow operates on a slope of angle of length .The rope moves at a speed of and provides power for riders at one time, with an average mass per rider of

.
Q)
Estimate the power required to operate
thetow.

Answer 1

The power required to operate the tow is 30817.76 watts.

Step-by-step explanation:

It can be assumed that,

The mass of the rider, m = 71 kg

Slope with the horizontal,
`\theta=14.9^(\circ)`

No of riders are 53

Speed of the rope, v = 11.7 km/h = 3.25 m/s

We need to find the power required to operate the tow. It is equal to the work done per unit time or it is equal to the product of force and the velocity.

`P=F* v`

F is equal to the weight of 53 riders as,
`F=mg\ sin\theta`

`P=53mg\ sin\theta * v`

`P=53* 71* 9.8* sin(14.9) * 3.25`

P = 30817.76 Watts

So, the power required to operate the tow is 30817.76 watts. Hence, this is the required solution.