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Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis 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 Right Circular Solid Cylinder about its Symmetry Axis [I]

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Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis 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 00.020 seconds)

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Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis Formula

LaTeX Go

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

What does moment of inertia mean?

Moment of inertia, in physics, quantitative measure of a body's rotational inertia—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force). The axis may be internal or external and may or may not be fixed.

How to Calculate Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis?

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis calculator uses Moment of Inertia = (Mass of Body*Radius of Body^2)/2 to calculate the Moment of Inertia, Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, dependent on the mass distribution of the object and the axis of rotation. Moment of Inertia is denoted by I symbol.

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

FAQ

What is Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis?

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, dependent on the mass distribution of the object and the axis of rotation 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 Right Circular Solid Cylinder about its Symmetry Axis?

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, dependent on the mass distribution of the object and the axis of rotation is calculated using Moment of Inertia = (Mass of Body*Radius of Body^2)/2. To calculate Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis, 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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