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Moment of Inertia of Rod 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%
✖Length of Rod is the size of the rod from one end to another end (how long the rod is).ⓘ Length of Rod [L_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 Rod about Perpendicular Axis through its Center [I]

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Moment of Inertia of Rod about Perpendicular Axis through its Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Mass of Body*Length of Rod^2)/12
I = (M*L_r^2)/12
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.
Length of Rod - (Measured in Meter) - Length of Rod is the size of the rod from one end to another end (how long the rod is).

STEP 1: Convert Input(s) to Base Unit

Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Length of Rod: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (M*L_r^2)/12 --> (12.6*10^2)/12

Evaluating ... ...

I = 105

STEP 3: Convert Result to Output's Unit

105 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

105 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.007 seconds)

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

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LaTeX Go Moment of Inertia = (Mass of Body*Length of Rod^2)/12

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Moment of Inertia of Rod about Perpendicular Axis through its Center Formula

LaTeX Go

Moment of Inertia = (Mass of Body*Length of Rod^2)/12
I = (M*L_r^2)/12

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 Rod about Perpendicular Axis through its Center?

Moment of Inertia of Rod about Perpendicular Axis through its Center calculator uses Moment of Inertia = (Mass of Body*Length of Rod^2)/12 to calculate the Moment of Inertia, Moment of Inertia of Rod about Perpendicular Axis through its Center formula is defined as a measure of an object's resistance to changes in its rotation, describing the distribution of mass around an axis that passes through the center of the rod, perpendicular to its length. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Rod about Perpendicular Axis through its Center using this online calculator? To use this online calculator for Moment of Inertia of Rod about Perpendicular Axis through its Center, enter Mass of Body (M) & Length of Rod (L_r) and hit the calculate button. Here is how the Moment of Inertia of Rod about Perpendicular Axis through its Center calculation can be explained with given input values -> 105 = (12.6*10^2)/12.

FAQ

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

Moment of Inertia of Rod about Perpendicular Axis through its Center formula is defined as a measure of an object's resistance to changes in its rotation, describing the distribution of mass around an axis that passes through the center of the rod, perpendicular to its length and is represented as I = (M*L_r^2)/12 or Moment of Inertia = (Mass of Body*Length of Rod^2)/12. Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it & Length of Rod is the size of the rod from one end to another end (how long the rod is).

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

Moment of Inertia of Rod about Perpendicular Axis through its Center formula is defined as a measure of an object's resistance to changes in its rotation, describing the distribution of mass around an axis that passes through the center of the rod, perpendicular to its length is calculated using Moment of Inertia = (Mass of Body*Length of Rod^2)/12. To calculate Moment of Inertia of Rod about Perpendicular Axis through its Center, you need Mass of Body (M) & Length of Rod (L_r). With our tool, you need to enter the respective value for Mass of Body & Length of Rod 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 & Length of Rod. 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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