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

✖Shaft Outer Diameter is the outer diameter of the shaft in a dynamometer, which measures the torque and rotational speed of an engine or other machine.ⓘ Shaft Outer Diameter [d_o]			+10% -10%
✖Shaft Inner Diameter is the internal diameter of the shaft in a dynamometer, which measures the torque and rotational speed of an engine or other machine.ⓘ Shaft Inner Diameter [d_i]			+10% -10%

✖Polar Moment of Inertia of Shaft is a measure of an object's resistance to changes in its rotation, important in dynamometer applications.ⓘ Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer [J]

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

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4)
J = pi/32*(d_o^4-d_i^4)
This formula uses 1 Constants, 3 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 a measure of an object's resistance to changes in its rotation, important in dynamometer applications.
Shaft Outer Diameter - (Measured in Meter) - Shaft Outer Diameter is the outer diameter of the shaft in a dynamometer, which measures the torque and rotational speed of an engine or other machine.
Shaft Inner Diameter - (Measured in Meter) - Shaft Inner Diameter is the internal diameter of the shaft in a dynamometer, which measures the torque and rotational speed of an engine or other machine.

STEP 1: Convert Input(s) to Base Unit

Shaft Outer Diameter: 1.85 Meter --> 1.85 Meter No Conversion Required
Shaft Inner Diameter: 1.8123 Meter --> 1.8123 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = pi/32*(d_o^4-d_i^4) --> pi/32*(1.85^4-1.8123^4)

Evaluating ... ...

J = 0.0909115408700991

STEP 3: Convert Result to Output's Unit

0.0909115408700991 Meter⁴ --> No Conversion Required

FINAL ANSWER

0.0909115408700991 ≈ 0.090912 Meter⁴ <-- Polar Moment of Inertia of Shaft

(Calculation completed in 00.004 seconds)

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

LaTeX Go

Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4)
J = pi/32*(d_o^4-d_i^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 Hollow Shaft for Torsion Dynamometer?

Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer calculator uses Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4) to calculate the Polar Moment of Inertia of Shaft, Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional loads and stresses in a dynamometer. Polar Moment of Inertia of Shaft is denoted by J symbol.

How to calculate Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer using this online calculator? To use this online calculator for Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer, enter Shaft Outer Diameter (d_o) & Shaft Inner Diameter (d_i) and hit the calculate button. Here is how the Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer calculation can be explained with given input values -> 0.902524 = pi/32*(1.85^4-1.8123^4).

FAQ

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

Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional loads and stresses in a dynamometer and is represented as J = pi/32*(d_o^4-d_i^4) or Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4). Shaft Outer Diameter is the outer diameter of the shaft in a dynamometer, which measures the torque and rotational speed of an engine or other machine & Shaft Inner Diameter is the internal diameter of the shaft in a dynamometer, which measures the torque and rotational speed of an engine or other machine.

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

Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional loads and stresses in a dynamometer is calculated using Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4). To calculate Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer, you need Shaft Outer Diameter (d_o) & Shaft Inner Diameter (d_i). With our tool, you need to enter the respective value for Shaft Outer Diameter & Shaft Inner 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 Outer Diameter & Shaft Inner Diameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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