Torque transmitted by shaft given polar moment of inertia Calculator

✖Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.ⓘ Maximum Shear Stress on Shaft [𝜏_max]			+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%
✖Radius of shaft is the distance between the center and the circumference of the shaft.ⓘ Radius of Shaft [R_shaft]			+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 [τ]

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Formula

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Torque transmitted by shaft given polar moment of inertia

Formula

`"τ" = ("𝜏"_{"max"}*"J"_{"shaft"})/"R"_{"shaft"}`

Example

`"740.7407N*m"=("0.0001MPa"*"10m⁴")/"1350mm"`

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Torque transmitted by shaft given polar moment of inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft
τ = (𝜏_max*J_shaft)/R_shaft
This formula uses 4 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.
Maximum Shear Stress on Shaft - (Measured in Pascal) - Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.
Polar Moment of Inertia of shaft - (Measured in Meter⁴) - Polar Moment of Inertia of shaft is the measure of object resistance to torsion.
Radius of Shaft - (Measured in Meter) - Radius of shaft is the distance between the center and the circumference of the shaft.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (Check conversion here)
Polar Moment of Inertia of shaft: 10 Meter⁴ --> 10 Meter⁴ No Conversion Required
Radius of Shaft: 1350 Millimeter --> 1.35 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (𝜏_max*J_shaft)/R_shaft --> (100*10)/1.35

Evaluating ... ...

τ = 740.740740740741

STEP 3: Convert Result to Output's Unit

740.740740740741 Newton Meter --> No Conversion Required

FINAL ANSWER

740.740740740741 ≈ 740.7407 Newton Meter <-- Torque Exerted on Wheel

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Expression for Torque in terms of Polar Moment of Inertia » Torque transmitted by shaft given polar moment of inertia

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National Institute Of Technology (NIT), Hamirpur

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< 11 Expression for Torque in terms of Polar Moment of Inertia Calculators

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

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

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

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

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

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

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

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

Polar moment of inertia of shaft given torque transmitted by shaft

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

Maximum shear stress in shaft given polar moment of inertia

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

Torque transmitted by shaft given polar moment of inertia

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

Radius of shaft given polar moment of inertia

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

Diameter of shaft given polar moment of inertia of shaft

Go Diameter of Shaft = ((32*Polar Moment of Inertia of shaft)/pi)^(1/4)

Polar moment of inertia of shaft

Go Polar Moment of Inertia of shaft = (pi*Diameter of Shaft^4)/32

Torque transmitted by shaft given polar moment of inertia Formula

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

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?

Torque transmitted by shaft given polar moment of inertia calculator uses Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft to calculate the Torque Exerted on Wheel, Torque transmitted by shaft given polar moment of inertia 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 using this online calculator? To use this online calculator for Torque transmitted by shaft given polar moment of inertia, enter Maximum Shear Stress on Shaft (𝜏_max), Polar Moment of Inertia of shaft (J_shaft) & Radius of Shaft (R_shaft) and hit the calculate button. Here is how the Torque transmitted by shaft given polar moment of inertia calculation can be explained with given input values -> 740.7407 = (100*10)/1.35.

FAQ

What is Torque transmitted by shaft given polar moment of inertia?

Torque transmitted by shaft given polar moment of inertia is defined as the measure of the force that can cause an object to rotate about an axis and is represented as τ = (𝜏_max*J_shaft)/R_shaft or Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft. Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces, Polar Moment of Inertia of shaft is the measure of object resistance to torsion & Radius of shaft is the distance between the center and the circumference of the shaft.

How to calculate Torque transmitted by shaft given polar moment of inertia?

Torque transmitted by shaft given polar moment of inertia 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 = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft. To calculate Torque transmitted by shaft given polar moment of inertia, you need Maximum Shear Stress on Shaft (𝜏_max), Polar Moment of Inertia of shaft (J_shaft) & Radius of Shaft (R_shaft). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft, Polar Moment of Inertia of shaft & Radius 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 Maximum Shear Stress on Shaft, Polar Moment of Inertia of shaft & Radius of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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