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*pi*"ṅ"*"τ"`

Example

`"2.199115kW"=2*pi*"7Hz"*"50N*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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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< 23 Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma

Go Shaft Work (Isentropic) = [R]*(Temperature of Surface 1/((Heat Capacity Ratio-1)/Heat Capacity Ratio))*((Pressure 2/Pressure 1)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Volume Expansivity for Pumps using Entropy

Go Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)

Enthalpy for Pumps using Volume Expansivity for Pump

Go Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)

Volume Expansivity for Pumps using Enthalpy

Go Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid

Entropy for Pumps using Volume Expansivity for Pump

Go Change in Entropy = (Specific Heat Capacity*ln(Temperature of Surface 2/Temperature of Surface 1))-(Volume Expansivity*Volume*Difference in Pressure)

Isentropic Work done rate for Adiabatic Compression Process using Cp

Go Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)

Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency

Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency

Shaft Power

Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel

Isentropic Change in Enthalpy using Compressor Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Compressor Efficiency*Change in Enthalpy

Compressor Efficiency using Actual and Isentropic Change in Enthalpy

Go Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy

Actual Enthalpy Change using Isentropic Compression Efficieny

Go Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency

Isentropic Change in Enthalpy using Turbine Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Change in Enthalpy/Turbine Efficiency

Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy

Go Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)

Actual Work done using Compressor Efficiency and Isentropic Shaft Work

Go Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work

Compressor Efficiency using Actual and Isentropic Shaft Work

Go Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work

Go Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency

Turbine Efficiency using Actual and Isentropic Shaft Work

Go Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)

Nozzle Efficiency

Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Mass Flow Rate of Stream in Turbine (Expanders)

Go Mass Flow Rate = Work Done Rate/Change in Enthalpy

Change in Enthalpy in Turbine (Expanders)

Go Change in Enthalpy = Work Done Rate/Mass Flow Rate

Work Done Rate by Turbine (Expanders)

Go Work Done Rate = Change in Enthalpy*Mass Flow Rate

< 11 Refrigeration Parameters Calculators

Density of Two Liquids

Go Density of Two Liquids = (Mass of Liquid A+Mass of Liquid B)/(Mass of Liquid A/Density of Liquid A+Mass of Liquid B/Density of Liquid B)

Specific Humidity

Go Specific Humidity = 0.622*Relative Humidity*Vapor Pressure of Pure Component A/(Partial Pressure-Relative Humidity*Vapor Pressure of Pure Component A)

Spring Work

Go Spring work = Spring Constant*(Displacement at point 2^2-Displacement at point 1^2)/2

Shaft Power

Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel

Refrigerator Work

Go Refrigerator Work = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir

Vapour Quality

Go Vapour Quality = Vapour Mass/(Vapour Mass+Fluid mass)

Real Refrigerator

Go Real Refrigerator = Heat from Low Temperature Reservoir/Work

Dew Point Depression

Go Dewpoint Depression = Temperature-Dewpoint Temperature

Degree of Saturation

Go Degree of Saturation = Volume of Water/Volume of Voids

Water Equivalent

Go Water equivalent = Mass of Water*Specific Heat

Relative Density

Go Relative Density = Density/Water Density

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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