What is the magnitude of the force used to loosen the bolt? Given the following A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and the force makes an angle of 60 degree with the wrench.

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The equation for torque is given by

`tau=rFsintheta` 

where `tau` is the torque, r is the length of the arm of the lever (in this case a wrench), F is the force applied and `theta`  is the angle between the direction of the force and the lever.

Thus, in this...

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The equation for torque is given by

`tau=rFsintheta` 

where `tau` is the torque, r is the length of the arm of the lever (in this case a wrench), F is the force applied and `theta`  is the angle between the direction of the force and the lever.

Thus, in this situation

`F=tau/(rsintheta)=12/(0.4xxsin(60^@))=12/(0.4xx(sqrt(3)/2))~~34.64N` 

Approved by eNotes Editorial Team