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*(do^4-di^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 the measure of object resistance to torsion.
Shaft Outer Diameter - (Measured in Meter) - Shaft outer diameter is defined as the length of the longest chord of the surface of the hollow circular shaft.
Shaft Inner Diameter - (Measured in Meter) - Shaft inner diameter is defined as the length of the longest chord inside the hollow shaft.
STEP 1: Convert Input(s) to Base Unit
Shaft Outer Diameter: 0.81 Meter --> 0.81 Meter No Conversion Required
Shaft Inner Diameter: 0.51 Meter --> 0.51 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
J = pi/32*(do^4-di^4) --> pi/32*(0.81^4-0.51^4)
Evaluating ... ...
J = 0.0356192989665847
STEP 3: Convert Result to Output's Unit
0.0356192989665847 Meter⁴ --> No Conversion Required
FINAL ANSWER
0.0356192989665847 0.035619 Meter⁴ <-- Polar Moment of Inertia of Shaft
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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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 Hollow Shaft for Torsion Dynamometer Formula

Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4)
J = pi/32*(do^4-di^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, The Polar moment of inertia of shaft for hollow 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 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 (do) & Shaft Inner Diameter (di) 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 -> 0.035619 = pi/32*(0.81^4-0.51^4).

FAQ

What is Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer?
The Polar moment of inertia of shaft for hollow 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 and is represented as J = pi/32*(do^4-di^4) or Polar Moment of Inertia of Shaft = pi/32*(Shaft Outer Diameter^4-Shaft Inner Diameter^4). Shaft outer diameter is defined as the length of the longest chord of the surface of the hollow circular shaft & Shaft inner diameter is defined as the length of the longest chord inside the hollow shaft.
How to calculate Polar Moment of Inertia of Shaft for Hollow Shaft for Torsion Dynamometer?
The Polar moment of inertia of shaft for hollow 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 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 (do) & Shaft Inner Diameter (di). 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 = pi/32*Shaft Diameter^4
  • Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist)
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