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Moment of inertia of semicircular section about its base Formula

GoMoment of inertia of hollow circle about diametrical axis 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 = 0.393 \cdot {r sc}^{4}

I_s - Moment of Inertia for Solids?r_sc - Radius of semi circle?

Moment of inertia of semicircular section about its base Example

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Here is how the Moment of inertia of semicircular section about its base equation looks like with Values.

Here is how the Moment of inertia of semicircular section about its base equation looks like with Units.

Here is how the Moment of inertia of semicircular section about its base equation looks like.

9.2063 = 0.393 \cdot {2.2}^{4}

9.2063m⁴ = 0.393 \cdot {2.2m}^{4}

9.2063 = 0.393 \cdot {2.2}^{4}

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Moment of inertia of semicircular section about its base Solution

Follow our step by step solution on how to calculate Moment of inertia of semicircular section about its base?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I s = 0.393 \cdot {2.2m}^{4}

Next Step Prepare to Evaluate

∴

I s = 0.393 \cdot {2.2}^{4}

Next Step Evaluate

∴

I s = 9.2062608m⁴

LAST Step Rounding Answer

∴

I s = 9.2063m⁴

Moment of inertia of semicircular section about its base Formula Elements

Variables

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

Radius of semi circle

Radius of semi circle is a line segment extending from the center of a semi circle to the circumference.

Symbol: r_sc

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of semi circle

Other Formulas to find Moment of Inertia for Solids

Go Moment of inertia of hollow circle about diametrical axis

I s = (\frac{π}{64}) \cdot ({d c}^{4} - {d i}^{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 semicircular section about its base?

Moment of inertia of semicircular section about its base evaluator uses Moment of Inertia for Solids = 0.393*Radius of semi circle^4 to evaluate the Moment of Inertia for Solids, The Moment of inertia of semicircular section about its base formula is defined as the 0.393 times of fourth power of the radius of the semicircle. Moment of Inertia for Solids is denoted by I_s symbol.

How to evaluate Moment of inertia of semicircular section about its base using this online evaluator? To use this online evaluator for Moment of inertia of semicircular section about its base, enter Radius of semi circle (r_sc) and hit the calculate button.

FAQs on Moment of inertia of semicircular section about its base

What is the formula to find Moment of inertia of semicircular section about its base?

The formula of Moment of inertia of semicircular section about its base is expressed as Moment of Inertia for Solids = 0.393*Radius of semi circle^4. Here is an example- 9.206261 = 0.393*2.2^4.

How to calculate Moment of inertia of semicircular section about its base?

With Radius of semi circle (r_sc) we can find Moment of inertia of semicircular section about its base using the formula - Moment of Inertia for Solids = 0.393*Radius of semi circle^4.

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=(pi/64)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Moment of Inertia for Solids=0.11*Radius of semi circle^4

Can the Moment of inertia of semicircular section about its base be negative?

Yes, the Moment of inertia of semicircular section about its base, measured in Second Moment of Area can be negative.

Which unit is used to measure Moment of inertia of semicircular section about its base?

Moment of inertia of semicircular section about its base 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 semicircular section about its base can be measured.

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