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Moment of Inertia of Solid Sphere about its Diameter 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 Solid Sphere about its Diameter [I]

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Moment of Inertia of Solid Sphere about its Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5
I = 2*(M*r^2)/5
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 = 2*(M*r^2)/5 --> 2*(12.6*2.1^2)/5

Evaluating ... ...

I = 22.2264

STEP 3: Convert Result to Output's Unit

22.2264 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

22.2264 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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Moment of Inertia of Solid Sphere about its Diameter

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

Moment of Inertia of Rod about Perpendicular Axis through its Center

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

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center

LaTeX Go Moment of Inertia = Mass of Body*Radius of Body^2

Moment of Inertia of Right Circular Hollow Cylinder about its Axis

LaTeX Go Moment of Inertia = Mass of Body*Radius of Body^2

Moment of Inertia of Solid Sphere about its Diameter Formula

LaTeX Go

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

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.

Which has more moment of inertia?

Higher moments of inertia indicate that more force has to be applied in order to cause a rotation whereas lower moments of inertia mean that only low forces are necessary. Masses that are further away from the axis of rotation have the greatest moment of inertia.

How to Calculate Moment of Inertia of Solid Sphere about its Diameter?

Moment of Inertia of Solid Sphere about its Diameter calculator uses Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5 to calculate the Moment of Inertia, Moment of Inertia of Solid Sphere about its Diameter formula is defined as a measure of an object's resistance to changes in its rotation, which depends on the distribution of mass in the object and the axis of rotation, providing a fundamental concept in understanding rotational motion. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Solid Sphere about its Diameter using this online calculator? To use this online calculator for Moment of Inertia of Solid Sphere about its Diameter, enter Mass of Body (M) & Radius of Body (r) and hit the calculate button. Here is how the Moment of Inertia of Solid Sphere about its Diameter calculation can be explained with given input values -> 22.2264 = 2*(12.6*2.1^2)/5.

FAQ

What is Moment of Inertia of Solid Sphere about its Diameter?

Moment of Inertia of Solid Sphere about its Diameter formula is defined as a measure of an object's resistance to changes in its rotation, which depends on the distribution of mass in the object and the axis of rotation, providing a fundamental concept in understanding rotational motion and is represented as I = 2*(M*r^2)/5 or Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5. 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 Solid Sphere about its Diameter?

Moment of Inertia of Solid Sphere about its Diameter formula is defined as a measure of an object's resistance to changes in its rotation, which depends on the distribution of mass in the object and the axis of rotation, providing a fundamental concept in understanding rotational motion is calculated using Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5. To calculate Moment of Inertia of Solid Sphere about its Diameter, 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 = Mass of Body*Radius of Body^2
Moment of Inertia = Mass of Body*Radius of Body^2
Moment of Inertia = (Mass of Body*Length of Rod^2)/12

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