Power into torque, and vice versa

Following this revolutionary request Socialist seamates! a very useful calculator is one that can turn Torque into Power and vice versa. I proudly present two calculators that can be used for power to the torque (Power to the Torque!) and torque to the power conversion.

Torque into Power

Torque, Nm

Angular speed, rpm

Calculation precision

Digits after the decimal point: 3

Calculate

Power, Watt

 

Power, kW

 

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Power into Torque

Power, kW

Angular speed, RPM

Calculation precision

Digits after the decimal point: 2

Calculate

Torque, Nm

 

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Here are a couple of lame formulae to support the calculations:

where P is power (watt or kilowatt), τ is torque (Nm), ω is the angular velocity (radians per second), and dot represents the scalar product.
The calculator accepts angular speed in RPM (rounds per minute) and the conversion to radians per second is a simple

since one round is radians.