Torque

Reference data and engineering information about torque for mechanics applications.

Overview

Engineering reference data for Torque in mechanics.

Key Formulas

Work

$W = Fd\cos\theta$

Work = force × displacement × cos(angle).

Kinetic Energy

$E_k = \frac{1}{2}mv^2$

Energy of motion.

Potential Energy

$E_p = mgh$

Gravitational potential energy.

Variables

Symbol	Description	Unit
$F$	Force	N
$m$	Mass	kg
$a$	Acceleration	m/s²
$v$	Velocity	m/s

Moment Converter

Common torque or moment units for quick reference:

The Law of the Lever ( $F_1 L_1 = F_2 L_2$ ) provides the foundational balance condition for a stationary lever. This principle is applied directly to calculate forces in mechanical advantage scenarios.

Example Calculation: Given a person with mass $m = 90\,\text{kg}$ (creating force $F_1 = m \cdot g$ ) standing $L_1 = 2\,\text{m}$ from the fulcrum, the required force $F_2$ at $L_2 = 0.5\,\text{m}$ is:

F_2 = \frac{F_1 L_1}{L_2} = \frac{(90\,\text{kg})(9.81\,\text{m/s}^2)(2\,\text{m})}{0.5\,\text{m}} = 3531\,\text{N}

References

Original Source