Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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.ⓘ Torsion Equation for Torsion Dynamometer using Modulus of Rigidity [T]

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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity calculator uses Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length to calculate the Total Torque, Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as a measure of the twisting force that causes rotation in a shaft, providing valuable insights into the mechanical properties of materials under torsional stress. Total Torque is denoted by T symbol.

How to calculate Torsion Equation for Torsion Dynamometer using Modulus of Rigidity using this online calculator? To use this online calculator for Torsion Equation for Torsion Dynamometer using Modulus of Rigidity, 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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity calculation can be explained with given input values -> 12.17143 = (40*1.517*0.09)/0.42.

FAQ

What is Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as a measure of the twisting force that causes rotation in a shaft, providing valuable insights into the mechanical properties of materials under torsional stress 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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as a measure of the twisting force that causes rotation in a shaft, providing valuable insights into the mechanical properties of materials under torsional stress is calculated using Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length. To calculate Torsion Equation for Torsion Dynamometer using Modulus of Rigidity, 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 = Weight at Outer End of Lever*Distance between Weight and Center of Pulley
Total Torque = Frictional Resistance between Block and Pulley*Radius of Pulley

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