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

GoMoment of Inertia of Solid Sphere about its Diameter Formula

GoMoment of Inertia of Circular Ring about Perpendicular Axis through its Center 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 = \frac{M \cdot r^{2}}{2}

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

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

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Here is how the Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis equation looks like with Values.

Here is how the Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis equation looks like with Units.

Here is how the Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis equation looks like.

27.783 = \frac{12.6 \cdot {2.1}^{2}}{2}

27.783kg·m² = \frac{12.6kg \cdot {2.1m}^{2}}{2}

27.783 = \frac{12.6 \cdot {2.1}^{2}}{2}

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

Follow our step by step solution on how to calculate Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

I = 27.783kg·m²

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis 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 Solid Sphere about its Diameter

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

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}

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

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis evaluator uses Moment of Inertia = (Mass of Body*Radius of Body^2)/2 to evaluate 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 evaluate Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis

What is the formula to find Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis?

The formula of Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis is expressed as Moment of Inertia = (Mass of Body*Radius of Body^2)/2. Here is an example- 27.783 = (12.6*2.1^2)/2.

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

With Mass of Body (M) & Radius of Body (r) we can find Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis using the formula - Moment of Inertia = (Mass of Body*Radius of Body^2)/2.

What are the other ways to Calculate Moment of Inertia?

Here are the different ways to Calculate Moment of Inertia-

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

Can the Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis be negative?

No, the Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis?

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis 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 Right Circular Solid Cylinder about its Symmetry Axis can be measured.

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

​GoMoment of Inertia of Solid Sphere about its Diameter Formula

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

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

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

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

Other Formulas to find Moment of Inertia

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

FAQs on Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis

Variable Name

GoMoment of Inertia of Solid Sphere about its Diameter Formula

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