A plumber has a 60-cm long wrench and a 15-cm long wrench, and is trying to loos

Question

A plumber has a 60-cm long wrench and a 15-cm long wrench, and is trying to loosen a stubborn bolt. Which wrench will allow her to exert more torque, and by how much (assume she applies the same force on both wrenches and at the same angle)?

a. the shorter wrench will allow her to exert four times as much torque.

b. the shorter wrench will allow her to exert twice as much torque.

c. both wrenches will allow her to exert the same amount of torque.

d. the longer wrench will allow her to exert twice as much torque.

e. the longer wrench will allow her to exert four times as much torque.

Explanation / Answer

l1 =60 cm , l2 =15 cm

Torque = lever arm *Force

T1 =l1*F

T2 =I2*F

Correct option is (a)

F1 =F2

T1/l1 =T2/l2

T2/T1 =l2/l1 = 15/60 =4

T2 = 4T1

shorter wrench torque = 4times longer wrench torque

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