A torque wrench is a special type of wrench that limits the magnitude of the tor

Question

A torque wrench is a special type of wrench that limits the magnitude of the torque it is applying to a bolt, helping the user avoid breaking a bolt or stripping a thread. The torque wrench in the figure below has a long handle, and we suppose one user applies a force F1 = 68 N at a distance of x1 = 13 cm from the head of the wrench. If a second user applies a force F2 at a point x2 = 30 cm from the head, what value of F2 will produce the same torque? Assume forces F1 and F2 are both applied perpendicular to the wrench handle.

A. 68 N

B. 13 N

C. 39 N

D. 29 N

E. 157 N

Explanation / Answer

net torque is same,

so product of force and distance remains constant

F1 * r1 = F2 * r2

68 * 13 = F2* 30

F2 = 68 * 13/30

= 29.47 N

OPTION D

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