Question

The steering wheel of a car has a radius of 0.21 m, and the steering wheel of a truck has a radius of 0.32 m. The same force is applied in the same direction to each steering wheel. What is the ratio of the torque produced by this force in the truck to the torque produced in the car?

Answer 1

here,

the radius of wheel of car , r1 = 0.21 m

the radius of wheel of truck , r2 = 0.32 m

the torque applied , T = radius * tangential force

the ratio of the torque produced by this force in the truck to the torque produced in the car , R = (T2 /T1)

R = ( (tangential force * r2)/(tangential force * r1))

for same tangential force

R = r2 /r2 = 0.32 /0.21

R = 1.52

the ratio of the torque produced by this force in the truck to the torque produced in the car is 1.52