Torque Acting on Shaft for Torsion Dynamometer Calculator

✖Modulus of Rigidity is the measure of the stiffness of a material, determining the amount of stress required to produce a unit deformation.ⓘ Modulus of Rigidity [G]			+10% -10%
✖Angle of Twist is the rotational deformation of a shaft measured by a dynamometer, which is used to calculate the torque or rotational force.ⓘ Angle of Twist [θ]			+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 [J]			+10% -10%
✖Shaft Length is the distance from the dynamometer's rotating shaft to the point of measurement, typically used to calculate torque and power output.ⓘ Shaft Length [L_shaft]			+10% -10%

✖Total Torque is the rotational force that causes an object to rotate, measured by a dynamometer, typically in units of newton-meters or foot-pounds.ⓘ Torque Acting on Shaft for Torsion Dynamometer [T]

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Torque Acting on Shaft for Torsion Dynamometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length
T = (G*θ*J)/L_shaft
This formula uses 5 Variables

Variables Used

Total Torque - (Measured in Newton Meter) - Total Torque is the rotational force that causes an object to rotate, measured by a dynamometer, typically in units of newton-meters or foot-pounds.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the stiffness of a material, determining the amount of stress required to produce a unit deformation.
Angle of Twist - (Measured in Radian) - Angle of Twist is the rotational deformation of a shaft measured by a dynamometer, which is used to calculate the torque or rotational force.
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 Length - (Measured in Meter) - Shaft Length is the distance from the dynamometer's rotating shaft to the point of measurement, typically used to calculate torque and power output.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 40 Newton per Square Meter --> 40 Pascal (Check conversion here)
Angle of Twist: 1.517 Radian --> 1.517 Radian No Conversion Required
Polar Moment of Inertia of Shaft: 0.09 Meter⁴ --> 0.09 Meter⁴ No Conversion Required
Shaft Length: 0.42 Meter --> 0.42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (G*θ*J)/L_shaft --> (40*1.517*0.09)/0.42

Evaluating ... ...

T = 13.0028571428571

STEP 3: Convert Result to Output's Unit

13.0028571428571 Newton Meter --> No Conversion Required

FINAL ANSWER

13.0028571428571 ≈ 13.00286 Newton Meter <-- Total Torque

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Torque Acting on Shaft for Torsion Dynamometer Formula

LaTeX Go

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

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 Torque Acting on Shaft for Torsion Dynamometer?

Torque Acting on Shaft for Torsion Dynamometer calculator uses Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length to calculate the Total Torque, Torque Acting on Shaft for Torsion Dynamometer formula is defined as a measure of the rotational force that causes the shaft to twist, which is essential in determining the mechanical properties of a material under torsional loading. Total Torque is denoted by T symbol.

How to calculate Torque Acting on Shaft for Torsion Dynamometer using this online calculator? To use this online calculator for Torque Acting on Shaft for Torsion Dynamometer, enter Modulus of Rigidity (G), Angle of Twist (θ), Polar Moment of Inertia of Shaft (J) & Shaft Length (L_shaft) and hit the calculate button. Here is how the Torque Acting on Shaft for Torsion Dynamometer calculation can be explained with given input values -> 12.17143 = (40*1.517*0.09)/0.42.

FAQ

What is Torque Acting on Shaft for Torsion Dynamometer?

Torque Acting on Shaft for Torsion Dynamometer formula is defined as a measure of the rotational force that causes the shaft to twist, which is essential in determining the mechanical properties of a material under torsional loading and is represented as T = (G*θ*J)/L_shaft or Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length. Modulus of Rigidity is the measure of the stiffness of a material, determining the amount of stress required to produce a unit deformation, Angle of Twist is the rotational deformation of a shaft measured by a dynamometer, which is used to calculate the torque or rotational force, Polar Moment of Inertia of Shaft is a measure of an object's resistance to changes in its rotation, important in dynamometer applications & Shaft Length is the distance from the dynamometer's rotating shaft to the point of measurement, typically used to calculate torque and power output.

How to calculate Torque Acting on Shaft for Torsion Dynamometer?

Torque Acting on Shaft for Torsion Dynamometer formula is defined as a measure of the rotational force that causes the shaft to twist, which is essential in determining the mechanical properties of a material under torsional loading is calculated using Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length. To calculate Torque Acting on Shaft for Torsion Dynamometer, you need Modulus of Rigidity (G), Angle of Twist (θ), Polar Moment of Inertia of Shaft (J) & Shaft Length (L_shaft). With our tool, you need to enter the respective value for Modulus of Rigidity, Angle of Twist, Polar Moment of Inertia of Shaft & Shaft Length 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 Total Torque?

In this formula, Total Torque uses Modulus of Rigidity, Angle of Twist, Polar Moment of Inertia of Shaft & Shaft Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Torque = Constant for a Particular Shaft*Angle of Twist
Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length
Total Torque = Weight at Outer End of Lever*Distance between Weight and Center of Pulley

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