Polar Moment of Inertia of Shaft for Torsion Dynamometer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist)
J = (T*Lshaft)/(G*θ)
This formula uses 5 Variables
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.
Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Shaft Length - (Measured in Meter) - Shaft Length is the distance between two ends of shaft.
Modulus of Rigidity - (Measured in Pascal) - Modulus of rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
Angle of Twist - (Measured in Radian) - Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.
STEP 1: Convert Input(s) to Base Unit
Total Torque: 13 Newton Meter --> 13 Newton Meter No Conversion Required
Shaft Length: 0.42 Meter --> 0.42 Meter No Conversion Required
Modulus of Rigidity: 40 Newton per Square Meter --> 40 Pascal (Check conversion here)
Angle of Twist: 1.42 Radian --> 1.42 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
J = (T*Lshaft)/(G*θ) --> (13*0.42)/(40*1.42)
Evaluating ... ...
J = 0.0961267605633803
STEP 3: Convert Result to Output's Unit
0.0961267605633803 Meter⁴ --> No Conversion Required
FINAL ANSWER
0.0961267605633803 0.096127 Meter⁴ <-- Polar Moment of Inertia of Shaft
(Calculation completed in 00.004 seconds)

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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 Torsion Dynamometer Formula

Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist)
J = (T*Lshaft)/(G*θ)

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 Torsion Dynamometer?

Polar Moment of Inertia of Shaft for Torsion Dynamometer calculator uses Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist) to calculate the Polar Moment of Inertia of Shaft, The Polar moment of inertia of 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 Torsion Dynamometer using this online calculator? To use this online calculator for Polar Moment of Inertia of Shaft for Torsion Dynamometer, enter Total Torque (T), Shaft Length (Lshaft), Modulus of Rigidity (G) & Angle of Twist (θ) and hit the calculate button. Here is how the Polar Moment of Inertia of Shaft for Torsion Dynamometer calculation can be explained with given input values -> 0.096127 = (13*0.42)/(40*1.42).

FAQ

What is Polar Moment of Inertia of Shaft for Torsion Dynamometer?
The Polar moment of inertia of 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 = (T*Lshaft)/(G*θ) or Polar Moment of Inertia of Shaft = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist). Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics, Shaft Length is the distance between two ends of shaft, Modulus of rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is & Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.
How to calculate Polar Moment of Inertia of Shaft for Torsion Dynamometer?
The Polar moment of inertia of 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 = (Total Torque*Shaft Length)/(Modulus of Rigidity*Angle of Twist). To calculate Polar Moment of Inertia of Shaft for Torsion Dynamometer, you need Total Torque (T), Shaft Length (Lshaft), Modulus of Rigidity (G) & Angle of Twist (θ). With our tool, you need to enter the respective value for Total Torque, Shaft Length, Modulus of Rigidity & Angle of Twist 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 Total Torque, Shaft Length, Modulus of Rigidity & Angle of Twist. 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 = pi/32*Shaft Diameter^4
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