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Moment of inertia of circle about diametrical axis Formula

GoMoment of inertia given radius of gyration Formula

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Rotational Inertia is a physical property of an object that quantifies its resistance to rotational motion about a particular axis. Check FAQs

I r = \frac{π \cdot d^{4}}{64}

I_r - Rotational Inertia?d - Diameter of Circle?π - Archimedes' constant?

Moment of inertia of circle about diametrical axis Example

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Here is how the Moment of inertia of circle about diametrical axis equation looks like with Values.

Here is how the Moment of inertia of circle about diametrical axis equation looks like with Units.

Here is how the Moment of inertia of circle about diametrical axis equation looks like.

981.0639 = \frac{3.1416 \cdot {11.89}^{4}}{64}

981.0639m⁴ = \frac{3.1416 \cdot {11.89m}^{4}}{64}

981.0639 = \frac{3.1416 \cdot {11.89}^{4}}{64}

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Moment of inertia of circle about diametrical axis Solution

Follow our step by step solution on how to calculate Moment of inertia of circle about diametrical axis?

FIRST Step Consider the formula

I r = \frac{π \cdot d^{4}}{64}

Next Step Substitute values of Variables

∴

I r = \frac{π \cdot {11.89m}^{4}}{64}

Next Step Substitute values of Constants

∴

I r = \frac{3.1416 \cdot {11.89m}^{4}}{64}

Next Step Prepare to Evaluate

∴

I r = \frac{3.1416 \cdot {11.89}^{4}}{64}

Next Step Evaluate

∴

I r = 981.063949290428m⁴

LAST Step Rounding Answer

∴

I r = 981.0639m⁴

Moment of inertia of circle about diametrical axis Formula Elements

Variables

Constants

Rotational Inertia

Rotational Inertia is a physical property of an object that quantifies its resistance to rotational motion about a particular axis.

Symbol: I_r

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Rotational Inertia

Diameter of Circle

Diameter of Circle is a straight line passing from side to side through the center of a circle.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Circle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Rotational Inertia

Go Moment of inertia given radius of gyration

I r = A \cdot {k G}^{2}

Other formulas in Mechanics and Statistics of Materials category

Go Radius of gyration given moment of inertia and area

k G = \sqrt{\frac{I r}{A}}

Go Resultant of Two Forces acting on Particle with Angle

R par = \sqrt{{F 1}^{2} + 2 \cdot F 1 \cdot F 2 \cdot \cos (θ) + {F 2}^{2}}

Go Inclination of Resultant of Two Forces Acting on Particle

α = a \tan (\frac{F 2 \cdot \sin (θ)}{F 1 + F 2 \cdot \cos (θ)})

Go Resultant of Two Forces Acting on Particle at 90 Degrees

R = \sqrt{{F 1}^{2} + {F 2}^{2}}

How to Evaluate Moment of inertia of circle about diametrical axis?

Moment of inertia of circle about diametrical axis evaluator uses Rotational Inertia = (pi*Diameter of Circle^4)/64 to evaluate the Rotational Inertia, The Moment of inertia of circle about diametrical axis formula is defined as the 1/64 times of product of Archimedes' constant (pi) and diameter raised to power 4. Rotational Inertia is denoted by I_r symbol.

How to evaluate Moment of inertia of circle about diametrical axis using this online evaluator? To use this online evaluator for Moment of inertia of circle about diametrical axis, enter Diameter of Circle (d) and hit the calculate button.

FAQs on Moment of inertia of circle about diametrical axis

What is the formula to find Moment of inertia of circle about diametrical axis?

The formula of Moment of inertia of circle about diametrical axis is expressed as Rotational Inertia = (pi*Diameter of Circle^4)/64. Here is an example- 322.0623 = (pi*11.89^4)/64.

How to calculate Moment of inertia of circle about diametrical axis?

With Diameter of Circle (d) we can find Moment of inertia of circle about diametrical axis using the formula - Rotational Inertia = (pi*Diameter of Circle^4)/64. This formula also uses Archimedes' constant .

What are the other ways to Calculate Rotational Inertia?

Here are the different ways to Calculate Rotational Inertia-

Rotational Inertia=Area of Cross-Section*Radius of Gyration^2

Can the Moment of inertia of circle about diametrical axis be negative?

Yes, the Moment of inertia of circle about diametrical axis, measured in Second Moment of Area can be negative.

Which unit is used to measure Moment of inertia of circle about diametrical axis?

Moment of inertia of circle about diametrical axis is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of inertia of circle about diametrical axis can be measured.

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