Radius of Shaft using Polar Modulus Calculator

✖Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.ⓘ Polar Moment of Inertia [J]			+10% -10%
✖The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.ⓘ Polar Modulus [Z_p]			+10% -10%

✖The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius of Shaft using Polar Modulus [R]

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Radius of Shaft using Polar Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Shaft = Polar Moment of Inertia/Polar Modulus
R = J/Z_p
This formula uses 3 Variables

Variables Used

Radius of Shaft - (Measured in Millimeter) - The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.
Polar Moment of Inertia - (Measured in Meter⁴) - Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.
Polar Modulus - (Measured in Cubic Meter) - The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.

STEP 1: Convert Input(s) to Base Unit

Polar Moment of Inertia: 0.0041 Meter⁴ --> 0.0041 Meter⁴ No Conversion Required
Polar Modulus: 0.0045 Cubic Meter --> 0.0045 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = J/Z_p --> 0.0041/0.0045

Evaluating ... ...

R = 0.911111111111111

STEP 3: Convert Result to Output's Unit

0.000911111111111111 Meter -->0.911111111111111 Millimeter (Check conversion here)

FINAL ANSWER

0.911111111111111 ≈ 0.911111 Millimeter <-- Radius of Shaft

(Calculation completed in 00.004 seconds)

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< Polar Modulus Calculators

Polar Moment of Inertia using Polar Modulus

LaTeX Go Polar Moment of Inertia = Radius of Shaft*Polar Modulus

Radius of Shaft using Polar Modulus

LaTeX Go Radius of Shaft = Polar Moment of Inertia/Polar Modulus

Polar Modulus

LaTeX Go Polar Modulus = Polar Moment of Inertia/Radius of Shaft

Polar Moment of Inertia of Solid Shaft

LaTeX Go Polar Moment of Inertia = (pi*Dia of Shaft^4)/32

< Torsion Calculators

Maximum permissible shear stress for given Radius and modulus of rigidity

LaTeX Go Maximum Shear Stress = (Modulus of Rigidity*(Angle of Twist)*Radius of Shaft)/Length of Shaft

Twisting Moment given Maximum Permissible Shear Stress

LaTeX Go Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft

Radius with known Maximum permissible shear stress

LaTeX Go Radius of Shaft = Maximum Shear Stress*Polar Moment of Inertia/Torque

Maximum permissible shear stress

LaTeX Go Maximum Shear Stress = Torque*Radius of Shaft/Polar Moment of Inertia

Radius of Shaft using Polar Modulus Formula

LaTeX Go

Radius of Shaft = Polar Moment of Inertia/Polar Modulus
R = J/Z_p

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 Radius of Shaft using Polar Modulus?

Radius of Shaft using Polar Modulus calculator uses Radius of Shaft = Polar Moment of Inertia/Polar Modulus to calculate the Radius of Shaft, The Radius of Shaft using Polar Modulus formula is defined as the distance from the center outwards. Radius of Shaft is denoted by R symbol.

How to calculate Radius of Shaft using Polar Modulus using this online calculator? To use this online calculator for Radius of Shaft using Polar Modulus, enter Polar Moment of Inertia (J) & Polar Modulus (Z_p) and hit the calculate button. Here is how the Radius of Shaft using Polar Modulus calculation can be explained with given input values -> 0.911111 = 0.0041/0.0045.

FAQ

What is Radius of Shaft using Polar Modulus?

The Radius of Shaft using Polar Modulus formula is defined as the distance from the center outwards and is represented as R = J/Z_p or Radius of Shaft = Polar Moment of Inertia/Polar Modulus. Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section & The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.

How to calculate Radius of Shaft using Polar Modulus?

The Radius of Shaft using Polar Modulus formula is defined as the distance from the center outwards is calculated using Radius of Shaft = Polar Moment of Inertia/Polar Modulus. To calculate Radius of Shaft using Polar Modulus, you need Polar Moment of Inertia (J) & Polar Modulus (Z_p). With our tool, you need to enter the respective value for Polar Moment of Inertia & Polar Modulus 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 Radius of Shaft?

In this formula, Radius of Shaft uses Polar Moment of Inertia & Polar Modulus. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Shaft = Maximum Shear Stress*Polar Moment of Inertia/Torque
Radius of Shaft = Polar Moment of Inertia/Polar Modulus
Radius of Shaft = Maximum Shear Stress*Polar Moment of Inertia/Torque

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