   Chapter 8, Problem 2P

Chapter
Section
Textbook Problem

A worker applies a torque to a nut with a wrench 0.500 m long. Because of the cramped space, she must exert a force upward at an angle of 60.0° with respect to a line from the nut through the end of the wrench. If the force she exerts has magnitude 80.0 N, what magnitude torque does she apply to the nut?

To determine
The magnitude of torque she applies to the nut.

Explanation

Given info: The length of the wrench is 0.500m , the magnitude of the force is 80.0N , and the angle of the force with respect to a line from the nut through the end of the wrench is 60.0° .

The formula for the magnitude of the torque is,

τ=rFsinθ

• r is length of the wrench.
• F is the applied force.
• θ is the angle of the force with respect to a line from the nut through the end of the wrench

Substitute 0.500m for r , 80.0N for F , and 60

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