Question

A four-wheel tractor with an operation weight of 50,000 pounds is being pulled up a road with a 3% slope. If the average tension in the towing cable is 5,000lb, what is the rolling resistance of the road? a. 140lb/ ton b. 15lb/ ton c. 60lb/ ton d. 105lb/ ton

Answer 1

a. 140 lb/ton

Step-by-step explanation:

Givens:

Weight of tractor = W = 50,000 lb

convert to tons: 50,000 lb x 1 ton/2000 lb = 25 tons

Slope of grade = 3% = 0.03

Tension in the cable = T = 5000 lb

Solution:

Grade Resistance = R = 50,000 lb x 0.03 = 1500 lb

Tension required to overcome the towing resistance = Treq

Treq = T - R = 5000 - 1500 = 3500 lb

Rolling Resistance = Treq / ton = 3500 / 25 = 140 lb/ton