A 30.0 cm wrench is used to generate a torque at a bolt. A force of 40 N is applied perpendicularly at the end of the wrench. The torque generated at the bolt is
A) 5.0 N·m.
B) 7.0 N·m.
C) 9.0 N·m.
D) 12 N·m.
E) 20 N·m.

Question

Quizplus · Accepted Answer

The torque generated at the bolt can be calculated by multiplying the force applied by the lever arm (distance from the axis of rotation to where the force is applied). In this case, the lever arm is the length of the wrench, which is 30.0 cm or 0.3 m. Thus,

torque = force x lever arm
torque = 40 N x 0.3 m
torque = 12 N·m

Therefore, the torque generated at the bolt is 12 N·m. The correct answer is choice D.

A 300 Cm Wrench Is Used to Generate a Torque at at a Bolt