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Torque wrenches depend on a modern generalisation of Hooke's Law. The deformation of an elastic material (even the steel out of which parts of a torque wrench are made) is proportional to the stress to which it is subjected.

When you use a torque wrench part of it follows the thing your turning and part of it does not. That part of the torque wrench twists slightly; it's being deformed and obeys Hooke's Law. The more twist, the more torque is being applied. The needle amplifies the amount of twist so that you can read the torque on the gauge.

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Q: How is hooke's law releted to torque wrench action?
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