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Moment of Inertia of Rod about Perpendicular Axis through its Center 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 {L r}^{2}}{12}

I - Moment of Inertia?M - Mass of Body?L_r - Length of Rod?

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

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Here is how the Moment of Inertia of Rod about Perpendicular Axis through its Center equation looks like with Values.

Here is how the Moment of Inertia of Rod about Perpendicular Axis through its Center equation looks like with Units.

Here is how the Moment of Inertia of Rod about Perpendicular Axis through its Center equation looks like.

105 = \frac{12.6 \cdot 10^{2}}{12}

105kg·m² = \frac{12.6kg \cdot {10m}^{2}}{12}

105 = \frac{12.6 \cdot 10^{2}}{12}

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

Follow our step by step solution on how to calculate Moment of Inertia of Rod about Perpendicular Axis through its Center?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{12.6kg \cdot {10m}^{2}}{12}

Next Step Prepare to Evaluate

∴

I = \frac{12.6 \cdot 10^{2}}{12}

LAST Step Evaluate

∴

I = 105kg·m²

Moment of Inertia of Rod about Perpendicular Axis through its Center 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

Length of Rod

Length of Rod is the size of the rod from one end to another end (how long the rod is).

Symbol: L_r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rod

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 Spherical Shell about its Diameter

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

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

Moment of Inertia of Rod about Perpendicular Axis through its Center evaluator uses Moment of Inertia = (Mass of Body*Length of Rod^2)/12 to evaluate 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 evaluate Moment of Inertia of Rod about Perpendicular Axis through its Center using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia of Rod about Perpendicular Axis through its Center

What is the formula to find Moment of Inertia of Rod about Perpendicular Axis through its Center?

The formula of Moment of Inertia of Rod about Perpendicular Axis through its Center is expressed as Moment of Inertia = (Mass of Body*Length of Rod^2)/12. Here is an example- 105 = (12.6*10^2)/12.

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

With Mass of Body (M) & Length of Rod (L_r) we can find Moment of Inertia of Rod about Perpendicular Axis through its Center using the formula - Moment of Inertia = (Mass of Body*Length of Rod^2)/12.

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 Rod about Perpendicular Axis through its Center be negative?

No, the Moment of Inertia of Rod about Perpendicular Axis through its Center, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of Rod about Perpendicular Axis through its Center?

Moment of Inertia of Rod about Perpendicular Axis through its Center 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 Rod about Perpendicular Axis through its Center can be measured.

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

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

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

Other Formulas to find Moment of Inertia

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

FAQs on Moment of Inertia of Rod about Perpendicular Axis through its Center

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