Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer Calculator

✖Polar Moment of Inertia of Shaft is the measure of object resistance to torsion.ⓘ Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer [J]

⎘ Copy

👎

Formula

✖

Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer

Formula

`"J" = pi/32*"D"_{"shaft"}^4`

Example

`"0.006136m⁴"=pi/32*("0.5m")^4`

Calculator

LaTeX

Reset

👍

Download Dynamometer Formulas PDF

Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia of Shaft = pi/32*Shaft Diameter^4
J = pi/32*D_shaft^4
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Polar Moment of Inertia of Shaft - (Measured in Meter⁴) - Polar Moment of Inertia of Shaft is the measure of object resistance to torsion.
Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.

STEP 1: Convert Input(s) to Base Unit

Shaft Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = pi/32*D_shaft^4 --> pi/32*0.5^4

Evaluating ... ...

J = 0.00613592315154256

STEP 3: Convert Result to Output's Unit

0.00613592315154256 Meter⁴ --> No Conversion Required

FINAL ANSWER

0.00613592315154256 ≈ 0.006136 Meter⁴ <-- Polar Moment of Inertia of Shaft

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Brakes and Dynamometers » Dynamometer » Polar Moment of Inertia » Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 3 Polar Moment of Inertia Calculators

Polar Moment of Inertia of Shaft for Torsion Dynamometer

Go Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist)

Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer

Go Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4)

Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer

Go Polar Moment of Inertia of Shaft = pi/32*Shaft Diameter^4

Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer Formula

Polar Moment of Inertia of Shaft = pi/32*Shaft Diameter^4
J = pi/32*D_shaft^4

What is torsion bar dynamometer?

Torsion dynamometers are machine components that are usually installed between the motor and driven machine or between the generator and prime mover. They transfer power while measuring torque. Torsion dynamometers measure torque by measuring the torsion angle of a specific.

How to Calculate Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer?

Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer calculator uses Polar Moment of Inertia of Shaft = pi/32*Shaft Diameter^4 to calculate the Polar Moment of Inertia of Shaft, The Polar moment of inertia of shaft for solid shaft for torsion dynamometer formula is defined as a measure of an object's capacity to oppose or resist torsion when some amount of torque is applied to it on a specified axis. Polar Moment of Inertia of Shaft is denoted by J symbol.

How to calculate Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer using this online calculator? To use this online calculator for Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer, enter Shaft Diameter (D_shaft) and hit the calculate button. Here is how the Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer calculation can be explained with given input values -> 0.006136 = pi/32*0.5^4.

FAQ

What is Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer?

How to calculate Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer?

The Polar moment of inertia of shaft for solid shaft for torsion dynamometer formula is defined as a measure of an object's capacity to oppose or resist torsion when some amount of torque is applied to it on a specified axis is calculated using Polar Moment of Inertia of Shaft = pi/32*Shaft Diameter^4. To calculate Polar Moment of Inertia of Shaft for Solid Shaft for Torsion Dynamometer, you need Shaft Diameter (D_shaft). With our tool, you need to enter the respective value for Shaft Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Polar Moment of Inertia of Shaft?

In this formula, Polar Moment of Inertia of Shaft uses Shaft Diameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4)
Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist)

Home

FREE PDFs

🔍 Search