Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Calculator

✖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.ⓘ Modulus of Rigidity [G]			+10% -10%
✖Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.ⓘ Angle of Twist [θ]			+10% -10%
✖Polar Moment of Inertia of Shaft is the measure of object resistance to torsion.ⓘ Polar Moment of Inertia of Shaft [J]			+10% -10%
✖Shaft Length is the distance between two ends of shaft.ⓘ Shaft Length [L_shaft]			+10% -10%

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

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Formula

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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity

Formula

`"T" = ("G"*"θ"*"J")/"L"_{"shaft"}`

Example

`"1555.238N*m"=("40N/m²"*"1.42rad"*"11.5m⁴")/"0.42m"`

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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 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.
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.
Polar Moment of Inertia of Shaft - (Measured in Meter⁴) - Polar Moment of Inertia of Shaft is the measure of object resistance to torsion.
Shaft Length - (Measured in Meter) - Shaft Length is the distance between two ends of shaft.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 40 Newton per Square Meter --> 40 Pascal (Check conversion here)
Angle of Twist: 1.42 Radian --> 1.42 Radian No Conversion Required
Polar Moment of Inertia of Shaft: 11.5 Meter⁴ --> 11.5 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*1.42*11.5)/0.42

Evaluating ... ...

T = 1555.2380952381

STEP 3: Convert Result to Output's Unit

1555.2380952381 Newton Meter --> No Conversion Required

FINAL ANSWER

1555.2380952381 ≈ 1555.238 Newton Meter <-- Total Torque

(Calculation completed in 00.004 seconds)

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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula

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, The Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as the geometrical property of a bar’s cross-section that is involved in the axis of the bar that has a relationship between the angle of twist and applied torque. 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 -> 1555.238 = (40*1.42*11.5)/0.42.

FAQ

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

The Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as the geometrical property of a bar’s cross-section that is involved in the axis of the bar that has a relationship between the angle of twist and applied torque 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 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, Polar Moment of Inertia of Shaft is the measure of object resistance to torsion & Shaft Length is the distance between two ends of shaft.

How to calculate Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

The Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as the geometrical property of a bar’s cross-section that is involved in the axis of the bar that has a relationship between the angle of twist and applied torque 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 1 other way(s) to calculate the same, which is/are as follows -

Total Torque = Constant for a Particular Shaft*Angle of Twist

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