Power transmitted by shaft given speed of shaft and torque Calculator

✖Speed of shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.ⓘ Speed of Shaft in RPM [N]			+10% -10%
✖Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.ⓘ Torsional moment on shaft [τ]			+10% -10%

✖Power is the amount of energy liberated per second in a device.ⓘ Power transmitted by shaft given speed of shaft and torque [P]

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Formula

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Power transmitted by shaft given speed of shaft and torque

Formula

`"P" = 2*pi*"N"*"τ"/(60)`

Example

`"2670.354W"=2*pi*"500"*"51000N*mm"/(60)`

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Power transmitted by shaft given speed of shaft and torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60)
P = 2*pi*N*τ/(60)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Power - (Measured in Watt) - Power is the amount of energy liberated per second in a device.
Speed of Shaft in RPM - Speed of shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.
Torsional moment on shaft - (Measured in Newton Meter) - Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.

STEP 1: Convert Input(s) to Base Unit

Speed of Shaft in RPM: 500 --> No Conversion Required
Torsional moment on shaft: 51000 Newton Millimeter --> 51 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*pi*N*τ/(60) --> 2*pi*500*51/(60)

Evaluating ... ...

P = 2670.35375555132

STEP 3: Convert Result to Output's Unit

2670.35375555132 Watt --> No Conversion Required

FINAL ANSWER

2670.35375555132 ≈ 2670.354 Watt <-- Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Design of Shaft for Torsional Moment » Power transmitted by shaft given speed of shaft and torque

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< 9 Design of Shaft for Torsional Moment Calculators

Angle of twist of hollow cylindrical rod in degrees

Go Angle of twist of shaft in degree = (584*Torsional moment on shaft*Length of Shaft/(Modulus of Rigidity*((Outer Diameter of Hollow Circular Section^4)-(Inner Diameter of Hollow Circular Section^4))))*(pi/180)

Angle of twist of solid cylindrical rod in degrees

Go Angle of twist of shaft in degree = (584*Torsional moment on shaft*Length of Shaft/(Modulus of Rigidity*(Diameter of circular section of shaft^4)))*(pi/180)

Angle of twist of shaft in radians given torque, length of shaft, polar moment of inertia

Go Angle of twist of shaft = (Torsional moment on shaft*Length of Shaft)/(Polar moment of inertia for circular section*Modulus of Rigidity)

Polar moment of inertia of shaft given shear stress and torsional moment

Go Polar moment of inertia for circular section = Torsional moment on shaft*Radial Distance from Axis of Rotation/Torsional shear stress in twisted shaft

Torsional shear stress in shaft due to torsional moment

Go Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section

Torsional moment on shaft given shear stress

Go Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation

Polar moment of inertia of hollow circular cross-section

Go Polar moment of inertia for circular section = pi*((Outer Diameter of Hollow Circular Section^4)-(Inner Diameter of Hollow Circular Section^4))/32

Power transmitted by shaft given speed of shaft and torque

Go Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60)

Polar moment of inertia of circular cross section

Go Polar moment of inertia for circular section = pi*(Diameter of circular section of shaft^4)/32

Power transmitted by shaft given speed of shaft and torque Formula

Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60)
P = 2*pi*N*τ/(60)

What is the purpose of shaft?

The main purpose of a shaft is to transmit its power to another member. It is the product of angular velocity and torque.

How to Calculate Power transmitted by shaft given speed of shaft and torque?

Power transmitted by shaft given speed of shaft and torque calculator uses Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60) to calculate the Power, Power transmitted by shaft given speed of shaft and torque formula is the movement of energy from its place of generation to a location where it is applied to perform useful work. Here the shaft is transmitting that power. Power is denoted by P symbol.

How to calculate Power transmitted by shaft given speed of shaft and torque using this online calculator? To use this online calculator for Power transmitted by shaft given speed of shaft and torque, enter Speed of Shaft in RPM (N) & Torsional moment on shaft (τ) and hit the calculate button. Here is how the Power transmitted by shaft given speed of shaft and torque calculation can be explained with given input values -> 2670.354 = 2*pi*500*51/(60).

FAQ

What is Power transmitted by shaft given speed of shaft and torque?

Power transmitted by shaft given speed of shaft and torque formula is the movement of energy from its place of generation to a location where it is applied to perform useful work. Here the shaft is transmitting that power and is represented as P = 2*pi*N*τ/(60) or Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60). Speed of shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc & Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.

How to calculate Power transmitted by shaft given speed of shaft and torque?

Power transmitted by shaft given speed of shaft and torque formula is the movement of energy from its place of generation to a location where it is applied to perform useful work. Here the shaft is transmitting that power is calculated using Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60). To calculate Power transmitted by shaft given speed of shaft and torque, you need Speed of Shaft in RPM (N) & Torsional moment on shaft (τ). With our tool, you need to enter the respective value for Speed of Shaft in RPM & Torsional moment on shaft 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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