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===Power=== Electric motor output power is given as <math display="block">P_\text{em} = T\omega = F v</math>where: * <math> \omega </math>: shaft [[Angular frequency|angular speed]], [radians per second] * <math>T</math>: torque, [Newton-meters] * <math>F</math>: force, [Newtons] * <math>v</math>: velocity, [meters per second]. In [[Imperial units]] a motor's mechanical power output is given by,<ref>{{cite web|date=30 November 2011|title=DC Motor Calculations, part 1|url=http://zone.ni.com/devzone/cda/ph/p/id/46|archive-url=https://web.archive.org/web/20071012234329/http://zone.ni.com/devzone/cda/ph/p/id/46|archive-date=12 October 2007|access-date=7 December 2012|publisher=National Instruments}}</ref> : <math>P_\text{em} = \frac {\omega_\text{rpm} T}{5252}</math> (horsepower) where: * <math>\omega_\text{rpm}</math>, shaft angular speed [<nowiki/>[[Revolutions per minute|rpm]]] * <math>T</math>: torque, [foot-pounds]. In an asynchronous or induction motor, the relationship{{citation needed|date=July 2022}} between motor speed and air gap power{{clarify|reason=what is air gap power|date=July 2022}} is given by the following: : <math>P_\text{airgap} = \frac{R_r}{s} I_r^{2}</math>, where :: R<sub>r</sub> β rotor resistance :: I<sub>r</sub><sup>2</sup> β square of current induced in the rotor :: s β motor slip{{clarify|reason=what are the units of s|date=July 2022}}; i.e., difference between synchronous speed and slip speed, which provides the relative movement needed for current induction in the rotor.
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