EngiRef / Mechanical Engineering Formula

Power (Rotational)

Power (Rotational): Mechanical power from torque and angular velocity. A Dynamics formula in mechanical engineering. Variables P, τ and ω, each with SI and…

Dynamics

Specification

Name
Power (Rotational)
Discipline
mechanical
Category
Dynamics
LaTeX
P = \tau \omega
Description
Mechanical power from torque and angular velocity
Conditions
Angular velocity must be in rad/s
Can solve for
P, τ, ω
Tags
power, torque, angular, rotation

Variables

Variables for Power (Rotational)
SymbolNameUnitSi UnitImperial Unit
PPowerWWhp
τTorqueN·mN·mft·lbf
ωAngular Velocityrad/srad/srpm

Common questions

What is the Power (Rotational) formula?
Mechanical power from torque and angular velocity. It sits under Dynamics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Power (Rotational) formula mean?
In Power (Rotational), P is power in W; τ is torque in N·m; ω is angular velocity in rad/s.
When does the Power (Rotational) formula apply?
Power (Rotational) holds under this condition: Angular velocity must be in rad/s.