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Radius of shaft given polar moment of inertia Formula

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

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

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

Radius of shaft given polar moment of inertia Example

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

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

Here is how the Radius of shaft given polar moment of inertia equation looks like.

20000 = \frac{0.0001 \cdot 10}{50}

20000mm = \frac{0.0001MPa \cdot 10m⁴}{50N*m}

20000 = \frac{0.0001 \cdot 10}{50}

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Radius of shaft given polar moment of inertia Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R shaft = \frac{0.0001MPa \cdot 10m⁴}{50N*m}

Next Step Convert Units

∴

R shaft = \frac{100Pa \cdot 10m⁴}{50N*m}

Next Step Prepare to Evaluate

∴

R shaft = \frac{100 \cdot 10}{50}

Next Step Evaluate

∴

R shaft = 20m

LAST Step Convert to Output's Unit

∴

R shaft = 20000mm

Radius of shaft given polar moment of inertia Formula Elements

Variables

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

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

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

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 Radius of shaft given polar moment of inertia?

Radius of shaft given polar moment of inertia evaluator uses Radius of Shaft = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Torque Exerted on Wheel to evaluate the Radius of Shaft, Radius of shaft given polar moment of inertia is defined as the distance from the center outwards. Radius of Shaft is denoted by R_shaft symbol.

How to evaluate Radius of shaft given polar moment of inertia using this online evaluator? To use this online evaluator for Radius of shaft given polar moment of inertia, enter Maximum Shear Stress on Shaft (𝜏_max), Polar Moment of Inertia of shaft (J_shaft) & Torque Exerted on Wheel (τ) and hit the calculate button.

FAQs on Radius of shaft given polar moment of inertia

What is the formula to find Radius of shaft given polar moment of inertia?

The formula of Radius of shaft given polar moment of inertia is expressed as Radius of Shaft = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Torque Exerted on Wheel. Here is an example- 2E+7 = (100*10)/50.

How to calculate Radius of shaft given polar moment of inertia?

With Maximum Shear Stress on Shaft (𝜏_max), Polar Moment of Inertia of shaft (J_shaft) & Torque Exerted on Wheel (τ) we can find Radius of shaft given polar moment of inertia using the formula - Radius of Shaft = (Maximum Shear Stress on Shaft*Polar Moment of Inertia of shaft)/Torque Exerted on Wheel.

Can the Radius of shaft given polar moment of inertia be negative?

Yes, the Radius of shaft given polar moment of inertia, measured in Length can be negative.

Which unit is used to measure Radius of shaft given polar moment of inertia?

Radius of shaft given polar moment of inertia is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of shaft given polar moment of inertia can be measured.

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Radius of shaft given polar moment of inertia Formula

Radius of shaft given polar moment of inertia Example

Radius of shaft given polar moment of inertia Solution

Radius of shaft given polar moment of inertia Formula Elements

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

How to Evaluate Radius of shaft given polar moment of inertia?

FAQs on Radius of shaft given polar moment of inertia

Variable Name