Moment of inertia of circle about diametrical axis Calculator

✖Diameter of Circle is a straight line passing from side to side through the center of a circle.ⓘ Diameter of Circle [d]

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✖Rotational Inertia is a physical property of an object that quantifies its resistance to rotational motion about a particular axis.ⓘ Moment of inertia of circle about diametrical axis [I_r]

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Moment of inertia of circle about diametrical axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Inertia = (pi*Diameter of Circle^4)/64
I_r = (pi*d^4)/64
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Rotational Inertia - (Measured in Meter⁴) - Rotational Inertia is a physical property of an object that quantifies its resistance to rotational motion about a particular axis.
Diameter of Circle - (Measured in Meter) - Diameter of Circle is a straight line passing from side to side through the center of a circle.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circle: 11.89 Meter --> 11.89 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = (pi*d^4)/64 --> (pi*11.89^4)/64

Evaluating ... ...

I_r = 981.063949290428

STEP 3: Convert Result to Output's Unit

981.063949290428 Meter⁴ --> No Conversion Required

FINAL ANSWER

981.063949290428 ≈ 981.0639 Meter⁴ <-- Rotational Inertia

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Mechanics and Statistics of Materials Calculators

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Radius of gyration given moment of inertia and area

LaTeX Go Radius of Gyration = sqrt(Rotational Inertia/Area of Cross-Section)

Moment of inertia given radius of gyration

LaTeX Go Rotational Inertia = Area of Cross-Section*Radius of Gyration^2

Moment of inertia of circle about diametrical axis

LaTeX Go Rotational Inertia = (pi*Diameter of Circle^4)/64

Moment of inertia of circle about diametrical axis Formula

LaTeX Go

Rotational Inertia = (pi*Diameter of Circle^4)/64
I_r = (pi*d^4)/64

What is moment of inertia?

Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.

How to Calculate Moment of inertia of circle about diametrical axis?

Moment of inertia of circle about diametrical axis calculator uses Rotational Inertia = (pi*Diameter of Circle^4)/64 to calculate the Rotational Inertia, The Moment of inertia of circle about diametrical axis formula is defined as the 1/64 times of product of Archimedes' constant (pi) and diameter raised to power 4. Rotational Inertia is denoted by I_r symbol.

How to calculate Moment of inertia of circle about diametrical axis using this online calculator? To use this online calculator for Moment of inertia of circle about diametrical axis, enter Diameter of Circle (d) and hit the calculate button. Here is how the Moment of inertia of circle about diametrical axis calculation can be explained with given input values -> 322.0623 = (pi*11.89^4)/64.

FAQ

What is Moment of inertia of circle about diametrical axis?

The Moment of inertia of circle about diametrical axis formula is defined as the 1/64 times of product of Archimedes' constant (pi) and diameter raised to power 4 and is represented as I_r = (pi*d^4)/64 or Rotational Inertia = (pi*Diameter of Circle^4)/64. Diameter of Circle is a straight line passing from side to side through the center of a circle.

How to calculate Moment of inertia of circle about diametrical axis?

The Moment of inertia of circle about diametrical axis formula is defined as the 1/64 times of product of Archimedes' constant (pi) and diameter raised to power 4 is calculated using Rotational Inertia = (pi*Diameter of Circle^4)/64. To calculate Moment of inertia of circle about diametrical axis, you need Diameter of Circle (d). With our tool, you need to enter the respective value for Diameter of Circle 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 Rotational Inertia?

In this formula, Rotational Inertia uses Diameter of Circle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rotational Inertia = Area of Cross-Section*Radius of Gyration^2

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