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Moment of Inertia of Solid Sphere about its Diameter Formula

GoMoment of Inertia of Circular Ring about Perpendicular Axis through its Center Formula

GoMoment of Inertia of Right Circular Hollow Cylinder about its Axis Formula

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Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. Check FAQs

I = 2 \cdot \frac{M \cdot r^{2}}{5}

I - Moment of Inertia?M - Mass of Body?r - Radius of Body?

Moment of Inertia of Solid Sphere about its Diameter Example

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Here is how the Moment of Inertia of Solid Sphere about its Diameter equation looks like with Values.

Here is how the Moment of Inertia of Solid Sphere about its Diameter equation looks like with Units.

Here is how the Moment of Inertia of Solid Sphere about its Diameter equation looks like.

22.2264 = 2 \cdot \frac{12.6 \cdot {2.1}^{2}}{5}

22.2264kg·m² = 2 \cdot \frac{12.6kg \cdot {2.1m}^{2}}{5}

22.2264 = 2 \cdot \frac{12.6 \cdot {2.1}^{2}}{5}

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Moment of Inertia of Solid Sphere about its Diameter Solution

Follow our step by step solution on how to calculate Moment of Inertia of Solid Sphere about its Diameter?

FIRST Step Consider the formula

I = 2 \cdot \frac{M \cdot r^{2}}{5}

Next Step Substitute values of Variables

∴

I = 2 \cdot \frac{12.6kg \cdot {2.1m}^{2}}{5}

Next Step Prepare to Evaluate

∴

I = 2 \cdot \frac{12.6 \cdot {2.1}^{2}}{5}

LAST Step Evaluate

∴

I = 22.2264kg·m²

Moment of Inertia of Solid Sphere about its Diameter Formula Elements

Variables

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Mass of Body

Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body

Radius of Body

Radius of Body is a radial line from the focus to any point of a curve.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Body

Other Formulas to find Moment of Inertia

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

I = M \cdot r^{2}

Go Moment of Inertia of Right Circular Hollow Cylinder about its Axis

I = M \cdot r^{2}

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

I = \frac{M \cdot {L r}^{2}}{12}

Go Moment of Inertia of Spherical Shell about its Diameter

I = \frac{2}{3} \cdot (M \cdot r^{2})

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

Moment of Inertia of Solid Sphere about its Diameter evaluator uses Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5 to evaluate 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 evaluate Moment of Inertia of Solid Sphere about its Diameter using this online evaluator? To use this online evaluator for Moment of Inertia of Solid Sphere about its Diameter, enter Mass of Body (M) & Radius of Body (r) and hit the calculate button.

FAQs on Moment of Inertia of Solid Sphere about its Diameter

What is the formula to find Moment of Inertia of Solid Sphere about its Diameter?

The formula of Moment of Inertia of Solid Sphere about its Diameter is expressed as Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5. Here is an example- 22.2264 = 2*(12.6*2.1^2)/5.

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

With Mass of Body (M) & Radius of Body (r) we can find Moment of Inertia of Solid Sphere about its Diameter using the formula - Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5.

What are the other ways to Calculate Moment of Inertia?

Here are the different ways to Calculate Moment of Inertia-

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

Can the Moment of Inertia of Solid Sphere about its Diameter be negative?

No, the Moment of Inertia of Solid Sphere about its Diameter, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of Solid Sphere about its Diameter?

Moment of Inertia of Solid Sphere about its Diameter is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia of Solid Sphere about its Diameter can be measured.

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Moment of Inertia of Solid Sphere about its Diameter Formula

​GoMoment of Inertia of Circular Ring about Perpendicular Axis through its Center Formula

​GoMoment of Inertia of Right Circular Hollow Cylinder about its Axis Formula

Moment of Inertia of Solid Sphere about its Diameter Example

Moment of Inertia of Solid Sphere about its Diameter Solution

Moment of Inertia of Solid Sphere about its Diameter Formula Elements

Other Formulas to find Moment of Inertia

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

FAQs on Moment of Inertia of Solid Sphere about its Diameter

Variable Name

GoMoment of Inertia of Circular Ring about Perpendicular Axis through its Center Formula

GoMoment of Inertia of Right Circular Hollow Cylinder about its Axis Formula