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Torque is directly proportional to the force applied to rotation, and is:
Also proportional to the distance from the center of rotation where the force acts
Applying a force at the farthest end of a lever arm is advisable in:
Getting the greatest possible torque
When a mechanic applies his maximum force but is unable to turn a difficult bolt:
A longer wrench may do the trick
This doesn’t increase the force he is able to apply, but:
Use of a longer lever arm for the same force does result in increased torque then and therefore, hopefully, better success in loosening the bolt
Unlike work, an object:
Does not have to be successfully rotated before a torque is said to have been applied