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

GoTorque transmitted by shaft given polar moment of inertia Formula

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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. Check FAQs

τ = \frac{C \cdot θ \cdot J shaft}{L}

τ - Torque Exerted on Wheel?C - Modulus of Rigidity?θ - Angle of twist?J_shaft - Polar Moment of Inertia of shaft?L - Length of Shaft?

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

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Here is how the Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity equation looks like with Values.

Here is how the Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity equation looks like with Units.

Here is how the Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity equation looks like.

3.6E+12 = \frac{84000 \cdot 30 \cdot 10}{7000}

3.6E+12N*m = \frac{84000N/mm² \cdot 30 \cdot 10m⁴}{7000mm}

3.6E+12 = \frac{84000 \cdot 30 \cdot 10}{7000}

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

Follow our step by step solution on how to calculate Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity?

FIRST Step Consider the formula

τ = \frac{C \cdot θ \cdot J shaft}{L}

Next Step Substitute values of Variables

∴

τ = \frac{84000N/mm² \cdot 30 \cdot 10m⁴}{7000mm}

Next Step Convert Units

∴

τ = \frac{8.4E+10Pa \cdot 30 \cdot 10m⁴}{7m}

Next Step Prepare to Evaluate

∴

τ = \frac{8.4E+10 \cdot 30 \cdot 10}{7}

Next Step Evaluate

∴

τ = 3600000000000N*m

LAST Step Rounding Answer

∴

τ = 3.6E+12N*m

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

Variables

Torque Exerted on Wheel

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.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

Modulus of Rigidity

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.

Symbol: C

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Angle of twist

Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

Symbol: θ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Angle of twist

Polar Moment of Inertia of shaft

Polar Moment of Inertia of shaft is the measure of object resistance to torsion.

Symbol: J_shaft

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Polar Moment of Inertia of shaft

Length of Shaft

The Length of Shaft is the distance between two ends of shaft.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Shaft

Other Formulas to find Torque Exerted on Wheel

Go Torque transmitted by shaft given polar moment of inertia

τ = \frac{𝜏 max \cdot J shaft}{R shaft}

Other formulas in Expression for Torque in terms of Polar Moment of Inertia category

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

C = \frac{τ \cdot L}{θ \cdot J shaft}

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

J shaft = \frac{τ \cdot L}{C \cdot θ}

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

L = \frac{C \cdot θ \cdot J shaft}{τ}

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

θ = \frac{τ \cdot L}{C \cdot J shaft}

How to Evaluate 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 evaluator uses Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft to evaluate 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 evaluate Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity?

The formula of Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity is expressed as Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft. Here is an example- 3.6E+12 = (84000000000*30*10)/7.

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

With Modulus of Rigidity (C), Angle of twist (θ), Polar Moment of Inertia of shaft (J_shaft) & Length of Shaft (L) we can find Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity using the formula - Torque Exerted on Wheel = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft.

What are the other ways to Calculate Torque Exerted on Wheel?

Here are the different ways to Calculate Torque Exerted on Wheel-

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

Can the Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity be negative?

No, the Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity, measured in Torque cannot be negative.

Which unit is used to measure 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 usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Torque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity can be measured.

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

​GoTorque transmitted by shaft given polar moment of inertia Formula

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

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

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

Other Formulas to find Torque Exerted on Wheel

Other formulas in Expression for Torque in terms of Polar Moment of Inertia category

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

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

Variable Name

GoTorque transmitted by shaft given polar moment of inertia Formula