quantity

torque

A measure of rotational force, quantified here as 3.13×10⁻¹⁵ N·m.
15 related articles · 1 formulas

Description

Torque is the rotational analog of force: it measures how much a force acting on an object causes that object to rotate. In the context of the seed definition, a torque of 3.13×10⁻¹⁵ N·m is extraordinarily small — roughly the amount needed to twist a single molecule or a microscopic mechanical resonator. This scale is typical in experiments probing quantum effects in mechanical systems, where even the faintest rotational nudge can be detected and measured.

History

The concept of torque was formalized by Archimedes in his work on levers, and later developed into a full vector quantity by Leonhard Euler in the 18th century. The modern term 'torque' was introduced by James Thomson in the 1880s.

How it works

Torque is calculated as the product of the applied force and the lever arm — the perpendicular distance from the axis of rotation to the line of action of the force. For a given force, a longer lever arm produces more torque. In precision experiments, torque is often generated by electromagnetic fields acting on tiny magnets attached to a mechanical element, or by the radiation pressure of light. The resulting rotation is measured interferometrically or via changes in capacitance, allowing researchers to sense forces at the level of individual quanta.

In practice

Torque is fundamental to the design of engines, motors, and any rotating machinery, as well as to precision instruments like atomic force microscopes and torsion balances used in gravitational physics.

Fun fact

The torque of a typical car engine is about 200 N·m — roughly 10¹⁷ times larger than the value in the seed definition.

Concept graph →

Formulas

$$\tau \propto B^2$$
Torque on a magnetic dipole is proportional to the square of the magnetic field strength.
What is in the formula
τvariableTorque on the magnetic dipole — torque newton metre
BvariableMagnetic field strength — magnetic field strength tesla

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