Torque Transmitted by Shaft given Polar Moment of Inertia and 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 [C]			+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_shaft]			+10% -10%
✖The Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft [L]			+10% -10%

✖Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity [τ]

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Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft
τ = (C*θ*J_shaft)/L
This formula uses 5 Variables

Variables Used

Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
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 - 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.
Length of Shaft - (Measured in Meter) - The Length of Shaft is the distance between two ends of shaft.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 84000 Newton per Square Millimeter --> 84000000000 Pascal (Check conversion here)
Angle of twist: 30 --> No Conversion Required
Polar Moment of Inertia of shaft: 10 Meter⁴ --> 10 Meter⁴ No Conversion Required
Length of Shaft: 7000 Millimeter --> 7 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (C*θ*J_shaft)/L --> (84000000000*30*10)/7

Evaluating ... ...

τ = 3600000000000

STEP 3: Convert Result to Output's Unit

3600000000000 Newton Meter --> No Conversion Required

FINAL ANSWER

3600000000000 ≈ 3.6E+12 Newton Meter <-- Torque Exerted on Wheel

(Calculation completed in 00.019 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Expression for Torque in terms of Polar Moment of Inertia » Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity

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< Expression for Torque in terms of Polar Moment of Inertia Calculators

Modulus of Rigidity of Shaft given Torque Transmitted and Polar Moment of Inertia

LaTeX Go Modulus of Rigidity = (Torque Exerted on Wheel*Length of Shaft)/(Angle of twist*Polar Moment of Inertia of shaft)

Polar Moment of Inertia of Shaft given Torque Transmitted and Modulus of Rigidity

LaTeX Go Polar Moment of Inertia of shaft = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Angle of twist)

Angle of Twist for Shaft given Polar Moment of Inertia and Modulus of Rigidity

LaTeX Go Angle of twist = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Polar Moment of Inertia of shaft)

Length of Shaft given Polar Moment of Inertia and Modulus of Rigidity

LaTeX Go Length of Shaft = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Torque Exerted on Wheel

Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity Formula

LaTeX Go

Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft
τ = (C*θ*J_shaft)/L

What is difference between moment of inertia and polar moment of inertia?

The main difference between the moment of inertia and the polar moment of inertia is that the moment of inertia measures how an object resists angular acceleration, whereas the polar moment of inertia measures how an object resists torsion.

How to Calculate Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity?

Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity calculator uses Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft to calculate the Torque Exerted on Wheel, Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity is defined as the measure of the force that can cause an object to rotate about an axis. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity using this online calculator? To use this online calculator for Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity, enter Modulus of Rigidity (C), Angle of twist (θ), Polar Moment of Inertia of shaft (J_shaft) & Length of Shaft (L) and hit the calculate button. Here is how the Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity calculation can be explained with given input values -> 3.6E+12 = (84000000000*30*10)/7.

FAQ

What is Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity?

Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity is defined as the measure of the force that can cause an object to rotate about an axis and is represented as τ = (C*θ*J_shaft)/L or Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length 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, Polar Moment of Inertia of shaft is the measure of object resistance to torsion & The Length of Shaft is the distance between two ends of shaft.

How to calculate Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity?

Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity is defined as the measure of the force that can cause an object to rotate about an axis is calculated using Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft. To calculate Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity, you need Modulus of Rigidity (C), Angle of twist (θ), Polar Moment of Inertia of shaft (J_shaft) & Length of Shaft (L). With our tool, you need to enter the respective value for Modulus of Rigidity, Angle of twist, Polar Moment of Inertia of shaft & Length of Shaft 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 Torque Exerted on Wheel?

In this formula, Torque Exerted on Wheel uses Modulus of Rigidity, Angle of twist, Polar Moment of Inertia of shaft & Length of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft

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