Shaft Power Calculator

✖Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.ⓘ Revolutions per Second [ṅ]			+10% -10%
✖Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque Exerted on Wheel [τ]			+10% -10%

✖Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another.ⓘ Shaft Power [W_shaft]

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Formula

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Shaft Power

Formula

W shaft = 2 \cdot π \cdot ṅ \cdot τ

Example

2.199115 kW = 2 \cdot π \cdot 7 Hz \cdot 50 N*m

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Shaft Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel
W_shaft = 2*pi*ṅ*τ
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shaft Power - (Measured in Watt) - Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another.
Revolutions per Second - (Measured in Hertz) - Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

STEP 1: Convert Input(s) to Base Unit

Revolutions per Second: 7 Hertz --> 7 Hertz No Conversion Required
Torque Exerted on Wheel: 50 Newton Meter --> 50 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_shaft = 2*pi*ṅ*τ --> 2*pi*7*50

Evaluating ... ...

W_shaft = 2199.11485751285

STEP 3: Convert Result to Output's Unit

2199.11485751285 Watt -->2.19911485751286 Kilowatt (Check conversion here)

FINAL ANSWER

2.19911485751286 ≈ 2.199115 Kilowatt <-- Shaft Power

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Kanpur

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Shaft Power Formula

Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel
W_shaft = 2*pi*ṅ*τ

What is Shaft Power?

Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another. It is usually calculated as a product of the torque and the speed of the rotation of the shaft.

How to Calculate Shaft Power?

Shaft Power calculator uses Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel to calculate the Shaft Power, Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another. Shaft Power is denoted by W_shaft symbol.

How to calculate Shaft Power using this online calculator? To use this online calculator for Shaft Power, enter Revolutions per Second (ṅ) & Torque Exerted on Wheel (τ) and hit the calculate button. Here is how the Shaft Power calculation can be explained with given input values -> 0.002199 = 2*pi*7*50.

FAQ

What is Shaft Power?

Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another and is represented as W_shaft = 2*pi*ṅ*τ or Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel. Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit & Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

How to calculate Shaft Power?

Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another is calculated using Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel. To calculate Shaft Power, you need Revolutions per Second (ṅ) & Torque Exerted on Wheel (τ). With our tool, you need to enter the respective value for Revolutions per Second & Torque Exerted on Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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