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What is the formula for torque?

Updated: 10/10/2023
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āˆ™ 10y ago

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t = r X F, where t is torque, r is displacement, and F is force; all quantities are vectors. Because the formula contains a cross product, the magnitude of the torque is given by the expression rFsin(θ), where θ is the angle between the position vector and the force vector.

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āˆ™ 10y ago
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āˆ™ 13y ago

Generally,

[torque] = [radius] cross [force]

in which torque, radius, and force are vectors.

In the simplified case that radius and force vectors are in the same plane, the simplification of cross product can be used:

torque = radius*force*sin[angle from radius to force]

in which r = [magnitude of vector r].

In this simple case, the torque vector is still perpendicular to the plane in which the radius and force vectors lie. If the torque is in the positive radial direction, the torque vector points out of the page (toward you). If the torque is in the negative radial direction, the torque vector points into the page (away from you).

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