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Moment of Inertia of Circular Disc about Perpendicular Axis through its Center Calculator

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✖Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Body [M]			+10% -10%
✖Radius of Body is a radial line from the focus to any point of a curve.ⓘ Radius of Body [r]			+10% -10%

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia of Circular Disc about Perpendicular Axis through its Center [I]

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Moment of Inertia of Circular Disc about Perpendicular Axis through its Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Mass of Body*Radius of Body^2)/2
I = (M*r^2)/2
This formula uses 3 Variables

Variables Used

Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Mass of Body - (Measured in Kilogram) - Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Radius of Body - (Measured in Meter) - Radius of Body is a radial line from the focus to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Radius of Body: 2.1 Meter --> 2.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (M*r^2)/2 --> (12.6*2.1^2)/2

Evaluating ... ...

I = 27.783

STEP 3: Convert Result to Output's Unit

27.783 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

27.783 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.005 seconds)

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Moment of Inertia of Circular Disc about Perpendicular Axis through its Center Formula

LaTeX Go

Moment of Inertia = (Mass of Body*Radius of Body^2)/2
I = (M*r^2)/2

Why is the moment of inertia important?

It is an inherent property of matter. In rotational motion, the moment of inertia of a body is a measure of its inertia. The greater the inertia moment, the larger the torque required to produce a given angular acceleration in it.

How to Calculate Moment of Inertia of Circular Disc about Perpendicular Axis through its Center?

Moment of Inertia of Circular Disc about Perpendicular Axis through its Center calculator uses Moment of Inertia = (Mass of Body*Radius of Body^2)/2 to calculate the Moment of Inertia, Moment of Inertia of Circular Disc about Perpendicular Axis through its Center formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, with the axis of rotation passing through the center of the disc and perpendicular to its plane. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Circular Disc about Perpendicular Axis through its Center using this online calculator? To use this online calculator for Moment of Inertia of Circular Disc about Perpendicular Axis through its Center, enter Mass of Body (M) & Radius of Body (r) and hit the calculate button. Here is how the Moment of Inertia of Circular Disc about Perpendicular Axis through its Center calculation can be explained with given input values -> 27.783 = (12.6*2.1^2)/2.

FAQ

What is Moment of Inertia of Circular Disc about Perpendicular Axis through its Center?

Moment of Inertia of Circular Disc about Perpendicular Axis through its Center formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, with the axis of rotation passing through the center of the disc and perpendicular to its plane and is represented as I = (M*r^2)/2 or Moment of Inertia = (Mass of Body*Radius of Body^2)/2. Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it & Radius of Body is a radial line from the focus to any point of a curve.

How to calculate Moment of Inertia of Circular Disc about Perpendicular Axis through its Center?

Moment of Inertia of Circular Disc about Perpendicular Axis through its Center formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, with the axis of rotation passing through the center of the disc and perpendicular to its plane is calculated using Moment of Inertia = (Mass of Body*Radius of Body^2)/2. To calculate Moment of Inertia of Circular Disc about Perpendicular Axis through its Center, you need Mass of Body (M) & Radius of Body (r). With our tool, you need to enter the respective value for Mass of Body & Radius of Body 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 Moment of Inertia?

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

Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5
Moment of Inertia = Mass of Body*Radius of Body^2
Moment of Inertia = Mass of Body*Radius of Body^2

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