Moment of inertia of semicircular section about its base Calculator

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Moment of Inertia in Solids

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✖Radius of semi circle is a line segment extending from the center of a semi circle to the circumference.ⓘ Radius of semi circle [r_sc]

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✖Moment of Inertia for Solids depends on their shapes and distributions of mass around their axis of rotation.ⓘ Moment of inertia of semicircular section about its base [I_s]

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Formula

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Moment of inertia of semicircular section about its base

Formula

`"I"_{"s"} = 0.393*"r"_{"sc"}^4`

Example

`"9.206261m⁴"=0.393*("2.2m")^4`

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Moment of inertia of semicircular section about its base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia for Solids = 0.393*Radius of semi circle^4
I_s = 0.393*r_sc^4
This formula uses 2 Variables

Variables Used

Moment of Inertia for Solids - (Measured in Meter⁴) - Moment of Inertia for Solids depends on their shapes and distributions of mass around their axis of rotation.
Radius of semi circle - (Measured in Meter) - Radius of semi circle is a line segment extending from the center of a semi circle to the circumference.

STEP 1: Convert Input(s) to Base Unit

Radius of semi circle: 2.2 Meter --> 2.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_s = 0.393*r_sc^4 --> 0.393*2.2^4

Evaluating ... ...

I_s = 9.2062608

STEP 3: Convert Result to Output's Unit

9.2062608 Meter⁴ --> No Conversion Required

FINAL ANSWER

9.2062608 ≈ 9.206261 Meter⁴ <-- Moment of Inertia for Solids

(Calculation completed in 00.004 seconds)

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< 7 Moment of Inertia in Solids Calculators

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

Go Moment of Inertia about x-x axis = ((Breadth of Rectangular Section*Length of Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3))/12

Moment of inertia of hollow circle about diametrical axis

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

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

Go Moment of Inertia about x-x axis = Breadth of Rectangular Section*(Length of Rectangular Section^3/12)

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

Go Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12

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

Go Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36

Moment of inertia of semicircular section about its base

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

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

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

Moment of inertia of semicircular section about its base Formula

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

What is moment of inertia?

Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.

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

Moment of inertia of semicircular section about its base calculator uses Moment of Inertia for Solids = 0.393*Radius of semi circle^4 to calculate 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 calculate Moment of inertia of semicircular section about its base using this online calculator? To use this online calculator for Moment of inertia of semicircular section about its base, enter Radius of semi circle (r_sc) and hit the calculate button. Here is how the Moment of inertia of semicircular section about its base calculation can be explained with given input values -> 9.206261 = 0.393*2.2^4.

FAQ

What is Moment of inertia of semicircular section about its base?

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 and is represented as I_s = 0.393*r_sc^4 or Moment of Inertia for Solids = 0.393*Radius of semi circle^4. Radius of semi circle is a line segment extending from the center of a semi circle to the circumference.

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

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 is calculated using Moment of Inertia for Solids = 0.393*Radius of semi circle^4. To calculate Moment of inertia of semicircular section about its base, you need Radius of semi circle (r_sc). With our tool, you need to enter the respective value for Radius of semi circle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Moment of Inertia for Solids?

In this formula, Moment of Inertia for Solids uses Radius of semi circle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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