Torque

Also called Moment of a force

Torque measures how effectively a force twists a rigid system about an axis. It equals the force multiplied by the perpendicular distance from the axis to the force's line of action, its unit is the newton meter, and it is not a form of energy.

A force turns something only if it acts away from the axis and points off-line from it. Torque measures both at once:

τ=rF=rFsinθ\tau = r_{\perp}F = rF\sin\theta

Both forms sit on the AP Physics 1 equation sheet. Here rr is the distance from the axis to the point where the force is applied, and θ\theta is the angle between the force vector and that position vector. EK 5.3.A.1 puts the same idea in words: torque results only from the force component perpendicular to the position vector from the axis of rotation to the point of application of the force.

Newton meters, never joules. Torque and work reduce to the same base units, and both are written Nm\text{N}\cdot\text{m}, but torque is never expressed in joules. The joule is kept for energy.

There is no torque of a force, only torque about an axis. Change the axis and the same force produces a different torque, sometimes zero. State the axis or the number means nothing.

Direction is out of scope at AP Physics 1. The Topic 5.3 boundary statement says students are expected to manipulate the magnitude of torque using vector conventions, but that the direction of torque is beyond the course. Signs do the work instead: one sense of rotation is positive, the other negative.

Calculating torques and balancing them is a procedure, covered in how to calculate torque and automated by the torque calculator.

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