A 30 cm wrench is used to loosen a bolt with a force applied 0.3 mm from the bolt. It takes 60 N to loosen the bolt when the force is applied perpendicular to the wrench. How much force would it take if the force was applied at a 30 degree angle from perpendicular?

Question

Physics

Lydia Howe

10 January, 16:16

A 30 cm wrench is used to loosen a bolt with a force applied 0.3 mm from the bolt. It takes 60 N to loosen the bolt when the force is applied perpendicular to the wrench. How much force would it take if the force was applied at a 30 degree angle from perpendicular?

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Answers (1)

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Dillon Cobb · Answer 1

The torque required to loosen the bolt when perpendicular was:

t = 60N x 0.3 = 18 Nm

To have the same torque applied at 30 degrees:

18 Nm = Force x 0.3cos (30 degrees)

Simplify:

18 Nm = Force x 0.2598

Force = 18Nm / 0.2598

Force = 69.28 N

Round the answer as needed.