Torque — Science definition

Turning effect of a force about a specified pivot.

Where it is taught

In use

Torque magnitude about a chosen pivot is τ=rF sinθ, with θ between the radius-to-application-point and the force.

Springs, Torque & Static Equilibrium

Questions using torque

Problem 1

Why does static equilibrium require both zero net force and zero net torque?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Zero net force prevents translational acceleration; zero net torque prevents angular acceleration.

Problem 2

Static equilibrium requires force and torque balanceStatic equilibrium requires force and torque balance30 N at 0.30 m30 N at 0.30 msupport 60 NΣF=0 and Στ=0 are both required.
Original symmetric weightless-bar model; distributed bar weight is intentionally excluded here.
Interpret the supplied visual. Could a zero-torque calculation alone establish static equilibrium?
Answer and explanation

No. The vector force sum must also vanish, and the starting state must be at rest.

Static equilibrium means the body remains at rest without translational or rotational acceleration. It needs ΣF=0 and Στ=0 about a selected pivot in the rigid-body model. Equal opposing torques alone can coexist with nonzero net force, while balanced forces can still form a turning couple. For this weightless-bar example equal downward loads at equal opposite arms balance torque, and the upward support must balance their combined 60 N force.

No. The vector force sum must also vanish, and the starting state must be at rest.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the physical or environmental relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

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