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Moment of Inertia about Polar Axis Calculator

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Stress and Strain Strain Stress

✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d_s]

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✖The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.ⓘ Moment of Inertia about Polar Axis [J]

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Moment of Inertia about Polar Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32
J = (pi*d_s^(4))/32
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Polar Moment of Inertia - (Measured in Meter⁴) - The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

STEP 1: Convert Input(s) to Base Unit

Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = (pi*d_s^(4))/32 --> (pi*1.2^(4))/32

Evaluating ... ...

J = 0.203575203952619

STEP 3: Convert Result to Output's Unit

0.203575203952619 Meter⁴ --> No Conversion Required

FINAL ANSWER

0.203575203952619 ≈ 0.203575 Meter⁴ <-- Polar Moment of Inertia

(Calculation completed in 00.020 seconds)

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Moment of Inertia about Polar Axis

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

Moment of Inertia about Polar Axis Formula

LaTeX Go

Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32
J = (pi*d_s^(4))/32

What is Polar Moment of Inertia?

Polar Moment of Inertia is a measure of an object’s capacity to oppose or resist torsion when some amount of torque is applied to it on a specified axis. Torsion, on the other hand, is nothing but the twisting of an object due to an applied torque. Polar moment of inertia basically describes the cylindrical object’s (including its segments) resistance to torsional deformation when torque is applied in a plane that is parallel to the cross-section area or in a plane that is perpendicular to the object’s central axis.

How to Calculate Moment of Inertia about Polar Axis?

Moment of Inertia about Polar Axis calculator uses Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32 to calculate the Polar Moment of Inertia, The Moment of Inertia about Polar Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its resulting rotational inertia. Polar Moment of Inertia is denoted by J symbol.

How to calculate Moment of Inertia about Polar Axis using this online calculator? To use this online calculator for Moment of Inertia about Polar Axis, enter Diameter of Shaft (d_s) and hit the calculate button. Here is how the Moment of Inertia about Polar Axis calculation can be explained with given input values -> 0.203575 = (pi*1.2^(4))/32.

FAQ

What is Moment of Inertia about Polar Axis?

The Moment of Inertia about Polar Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its resulting rotational inertia and is represented as J = (pi*d_s^(4))/32 or Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32. The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

How to calculate Moment of Inertia about Polar Axis?

The Moment of Inertia about Polar Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its resulting rotational inertia is calculated using Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32. To calculate Moment of Inertia about Polar Axis, you need Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Diameter of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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