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Torque transmitted by shaft given polar moment of inertia Formula

GoTorque Transmitted by Shaft given Polar Moment of Inertia and Modulus of Rigidity 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{𝜏 max \cdot J shaft}{R shaft}

τ - Torque Exerted on Wheel?𝜏_max - Maximum Shear Stress on Shaft?J_shaft - Polar Moment of Inertia of shaft?R_shaft - Radius of Shaft?

Torque transmitted by shaft given polar moment of inertia Example

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Here is how the Torque transmitted by shaft given polar moment of inertia equation looks like with Values.

Here is how the Torque transmitted by shaft given polar moment of inertia equation looks like with Units.

Here is how the Torque transmitted by shaft given polar moment of inertia equation looks like.

740.7407 = \frac{0.0001 \cdot 10}{1350}

740.7407N*m = \frac{0.0001MPa \cdot 10m⁴}{1350mm}

740.7407 = \frac{0.0001 \cdot 10}{1350}

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Torque transmitted by shaft given polar moment of inertia Solution

Follow our step by step solution on how to calculate Torque transmitted by shaft given polar moment of inertia?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \frac{0.0001MPa \cdot 10m⁴}{1350mm}

Next Step Convert Units

∴

τ = \frac{100Pa \cdot 10m⁴}{1.35m}

Next Step Prepare to Evaluate

∴

τ = \frac{100 \cdot 10}{1.35}

Next Step Evaluate

∴

τ = 740.740740740741N*m

LAST Step Rounding Answer

∴

τ = 740.7407N*m

Torque transmitted by shaft given polar moment of inertia 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

Maximum Shear Stress on Shaft

Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Shaft

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

Radius of Shaft

Radius of shaft is the distance between the center and the circumference of the shaft.

Symbol: R_shaft

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of Shaft

Other Formulas to find Torque Exerted on Wheel

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

τ = \frac{C \cdot θ \cdot J shaft}{L}

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?

Torque transmitted by shaft given polar moment of inertia evaluator uses Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft to evaluate 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 evaluate Torque transmitted by shaft given polar moment of inertia using this online evaluator? To use this online evaluator 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.

FAQs on Torque transmitted by shaft given polar moment of inertia

What is the formula to find Torque transmitted by shaft given polar moment of inertia?

The formula of Torque transmitted by shaft given polar moment of inertia is expressed as Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius of Shaft. Here is an example- 740.7407 = (100*10)/1.35.

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

With Maximum Shear Stress on Shaft (𝜏_max), Polar Moment of Inertia of shaft (J_shaft) & Radius of Shaft (R_shaft) we can find Torque transmitted by shaft given polar moment of inertia using the formula - Torque Exerted on Wheel = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Radius 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=(Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Length of Shaft

Can the Torque transmitted by shaft given polar moment of inertia be negative?

No, the Torque transmitted by shaft given polar moment of inertia, measured in Torque cannot be negative.

Which unit is used to measure Torque transmitted by shaft given polar moment of inertia?

Torque transmitted by shaft given polar moment of inertia 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 can be measured.

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Torque transmitted by shaft given polar moment of inertia Formula

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

Torque transmitted by shaft given polar moment of inertia Example

Torque transmitted by shaft given polar moment of inertia Solution

Torque transmitted by shaft given polar moment of inertia 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?

FAQs on Torque transmitted by shaft given polar moment of inertia

Variable Name

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