Moment of Inertia of a solid sphere about its diameter Calculator

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✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m]			+10% -10%
✖Radius 1 is a radial line from the focus to any point of a curve.ⓘ Radius 1 [r1]			+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 a solid sphere about its diameter [I]

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Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Softusvista Office (Pune), India

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Moment of Inertia of a solid sphere about its diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

moment_of_inertia = 2*(Mass*(Radius 1^2))/5
I = 2*(m*(r1^2))/5
This formula uses 2 Variables

Variables Used

Mass - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. (Measured in Kilogram)
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Radius 1: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = 2*(m*(r1^2))/5 --> 2*(35.45*(11^2))/5

Evaluating ... ...

I = 1715.78

STEP 3: Convert Result to Output's Unit

1715.78 Kilogram Meter² --> No Conversion Required

FINAL ANSWER

1715.78 Kilogram Meter² <-- Moment of Inertia

(Calculation completed in 00.016 seconds)

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Moment of Inertia of a solid sphere about its diameter

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Moment of Inertia of a solid sphere about its diameter Formula

moment_of_inertia = 2*(Mass*(Radius 1^2))/5
I = 2*(m*(r1^2))/5

What does moment of inertia mean?

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a 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 means that only low forces are necessary. Masses that are further away form the axis of rotation have the greatest moment of inertia.

How to Calculate Moment of Inertia of a solid sphere about its diameter?

Moment of Inertia of a solid sphere about its diameter calculator uses moment_of_inertia = 2*(Mass*(Radius 1^2))/5 to calculate the Moment of Inertia, Moment of Inertia of a solid sphere about its diameter, is a quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Moment of Inertia and is denoted by I symbol.

How to calculate Moment of Inertia of a solid sphere about its diameter using this online calculator? To use this online calculator for Moment of Inertia of a solid sphere about its diameter, enter Mass (m) and Radius 1 (r1) and hit the calculate button. Here is how the Moment of Inertia of a solid sphere about its diameter calculation can be explained with given input values -> 1715.78 = 2*(35.45*(11^2))/5.

FAQ

What is Moment of Inertia of a solid sphere about its diameter?

Moment of Inertia of a solid sphere about its diameter, is a quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation and is represented as I = 2*(m*(r1^2))/5 or moment_of_inertia = 2*(Mass*(Radius 1^2))/5. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it and Radius 1 is a radial line from the focus to any point of a curve.

How to calculate Moment of Inertia of a solid sphere about its diameter?

Moment of Inertia of a solid sphere about its diameter, is a quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation is calculated using moment_of_inertia = 2*(Mass*(Radius 1^2))/5. To calculate Moment of Inertia of a solid sphere about its diameter, you need Mass (m) and Radius 1 (r1). With our tool, you need to enter the respective value for Mass and Radius 1 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 and Radius 1. We can use 10 other way(s) to calculate the same, which is/are as follows -

moment_of_inertia = 2*(Mass*(Radius 1^2))/5
moment_of_inertia = Mass*(Radius 1^2)
moment_of_inertia = (Mass*(Radius 1)^2)
moment_of_inertia = (Mass*(Length of rod^2))/12
moment_of_inertia = 2*(Mass*(Radius 1))/3
moment_of_inertia = Mass*(Length of the string^2)
moment_of_inertia = (Mass*(Radius 1^2))/2
moment_of_inertia = (Mass*(Radius 1^2))/2
force = (Mass*Acceleration Due To Gravity*sin(Angle of Inclination))/3
coefficient_of_friction = (tan(Angle of Inclination))/3

Where is the Moment of Inertia of a solid sphere about its diameter calculator used?

Among many, Moment of Inertia of a solid sphere about its diameter calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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