Physics: Torque multiple choice question

Question

In comparing two unequal forces on a rigid body, is it possible to have the larger force produce less torque than the smaller force?

 

 

a. Yes

b. No

Answer 1

Torque is the product of the force and the perpendicular distance from the axis of rotation.

Torque = Fr

 

From this, it is clear that a smaller force can produce a larger torque than that of a larger force.

 

Example.

Consider a 200 lb man sitting at 1 m from the pivot of a see saw. On the other side, a 100 lb boy is at 2.5 m from the pivot. The torque provided by the weight of the man is 200 lbf.m; the torque provided by the weight of the boy is 250 lbf. m.

 

Another example. Consider a cylindrical shaft of diameter 2 inches bored through the center of a cylindrical drum of diameter 2 feet (24 inches). A force of 100 N is exerted on the shaft to rotate it clockwise. A 50 N force is exerted on the drum to rotate it counterclockwise. Which exerts the greater torque?

Answer 2

No.  Torque is directly proportional to force.  Larger force produces larger torsion.

 

The formula for torque is

 

T = Fd

 

where:

T = torque

F = force

d = distance of the member

 

Force is perpendicular to the member, and the member is at a distance from the center of rotation.