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Moment of inertia of hollow circle about diametrical axis Formula

GoMoment of inertia of semicircular section about its base Formula

GoMoment of inertia of semicircular section through center of gravity, parallel to base Formula

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Moment of Inertia for Solids depends on their shapes and distributions of mass around their axis of rotation. Check FAQs

I s = (\frac{π}{64}) \cdot ({d c}^{4} - {d i}^{4})

I_s - Moment of Inertia for Solids?d_c - Outer Diameter of Hollow Circular Section?d_i - Inner Diameter of Hollow Circular Section?π - Archimedes' constant?

Moment of inertia of hollow circle about diametrical axis Example

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

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

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

9.5366 = (\frac{3.1416}{64}) \cdot ({3.999}^{4} - {2.8}^{4})

9.5366m⁴ = (\frac{3.1416}{64}) \cdot ({3.999m}^{4} - {2.8m}^{4})

9.5366 = (\frac{3.1416}{64}) \cdot ({3.999}^{4} - {2.8}^{4})

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Moment of inertia of hollow circle about diametrical axis Solution

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

FIRST Step Consider the formula

I s = (\frac{π}{64}) \cdot ({d c}^{4} - {d i}^{4})

Next Step Substitute values of Variables

∴

I s = (\frac{π}{64}) \cdot ({3.999m}^{4} - {2.8m}^{4})

Next Step Substitute values of Constants

∴

I s = (\frac{3.1416}{64}) \cdot ({3.999m}^{4} - {2.8m}^{4})

Next Step Prepare to Evaluate

∴

I s = (\frac{3.1416}{64}) \cdot ({3.999}^{4} - {2.8}^{4})

Next Step Evaluate

∴

I s = 9.53662337084081m⁴

LAST Step Rounding Answer

∴

I s = 9.5366m⁴

Moment of inertia of hollow circle about diametrical axis Formula Elements

Variables

Constants

Moment of Inertia for Solids

Moment of Inertia for Solids depends on their shapes and distributions of mass around their axis of rotation.

Symbol: I_s

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia for Solids

Outer Diameter of Hollow Circular Section

Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.

Symbol: d_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Hollow Circular Section

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 Moment of Inertia for Solids

Go Moment of inertia of semicircular section about its base

I s = 0.393 \cdot {r sc}^{4}

Go Moment of inertia of semicircular section through center of gravity, parallel to base

I s = 0.11 \cdot {r sc}^{4}

Other formulas in Moment of Inertia in Solids category

Go Moment of inertia of rectangle about centroidal axis along x-x parallel to breadth

J xx = B \cdot (\frac{{L rect}^{3}}{12})

Go Moment of inertia of rectangle about centroidal axis along y-y parallel to length

J yy = L rect \cdot \frac{B^{3}}{12}

Go Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth

J xx = \frac{(B \cdot {L rect}^{3}) - (B i \cdot {L i}^{3})}{12}

Go Moment of inertia of triangle about centroidal axis x-x parallel to base

J xx = \frac{b tri \cdot {H tri}^{3}}{36}

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

Moment of inertia of hollow circle about diametrical axis evaluator uses Moment of Inertia for Solids = (pi/64)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4) to evaluate the Moment of Inertia for Solids, Moment of inertia of hollow circle about diametrical axis formula is defined as the 1/64 times of product of Archimedes' constant (pi) and the difference of outer diameter power raised to 4, inner diameter power raised to 4. Moment of Inertia for Solids is denoted by I_s symbol.

How to evaluate Moment of inertia of hollow circle about diametrical axis using this online evaluator? To use this online evaluator for Moment of inertia of hollow circle about diametrical axis, enter Outer Diameter of Hollow Circular Section (d_c) & Inner Diameter of Hollow Circular Section (d_i) and hit the calculate button.

FAQs on Moment of inertia of hollow circle about diametrical axis

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

The formula of Moment of inertia of hollow circle about diametrical axis is expressed as Moment of Inertia for Solids = (pi/64)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). Here is an example- 9.549185 = (pi/64)*(3.999^4-2.8^4).

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

With Outer Diameter of Hollow Circular Section (d_c) & Inner Diameter of Hollow Circular Section (d_i) we can find Moment of inertia of hollow circle about diametrical axis using the formula - Moment of Inertia for Solids = (pi/64)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). This formula also uses Archimedes' constant .

What are the other ways to Calculate Moment of Inertia for Solids?

Here are the different ways to Calculate Moment of Inertia for Solids-

Moment of Inertia for Solids=0.393*Radius of semi circle^4
Moment of Inertia for Solids=0.11*Radius of semi circle^4

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

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

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

Moment of inertia of hollow 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 hollow circle about diametrical axis can be measured.

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Moment of inertia of hollow circle about diametrical axis Formula

​GoMoment of inertia of semicircular section about its base Formula

​GoMoment of inertia of semicircular section through center of gravity, parallel to base Formula

Moment of inertia of hollow circle about diametrical axis Example

Moment of inertia of hollow circle about diametrical axis Solution

Moment of inertia of hollow circle about diametrical axis Formula Elements

Other Formulas to find Moment of Inertia for Solids

Other formulas in Moment of Inertia in Solids category

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

FAQs on Moment of inertia of hollow circle about diametrical axis

Variable Name

GoMoment of inertia of semicircular section about its base Formula

GoMoment of inertia of semicircular section through center of gravity, parallel to base Formula