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

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia for Solids = 0.11*Radius of semi circle^4
Is = 0.11*rsc^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
Is = 0.11*rsc^4 --> 0.11*2.2^4
Evaluating ... ...
Is = 2.576816
STEP 3: Convert Result to Output's Unit
2.576816 Meter⁴ --> No Conversion Required
FINAL ANSWER
2.576816 Meter⁴ <-- Moment of Inertia for Solids
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Moment of Inertia in Solids Calculators

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth
​ LaTeX ​ 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 rectangle about centroidal axis along x-x parallel to breadth
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36

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

​LaTeX ​Go
Moment of Inertia for Solids = 0.11*Radius of semi circle^4
Is = 0.11*rsc^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 through center of gravity, parallel to base?

Moment of inertia of semicircular section through center of gravity, parallel to base calculator uses Moment of Inertia for Solids = 0.11*Radius of semi circle^4 to calculate the Moment of Inertia for Solids, The Moment of inertia of semicircular section through center of gravity, parallel to base formula is defined as the .011 times of fourth power of radius. Moment of Inertia for Solids is denoted by Is symbol.

How to calculate Moment of inertia of semicircular section through center of gravity, parallel to base using this online calculator? To use this online calculator for Moment of inertia of semicircular section through center of gravity, parallel to base, enter Radius of semi circle (rsc) and hit the calculate button. Here is how the Moment of inertia of semicircular section through center of gravity, parallel to base calculation can be explained with given input values -> 2.576816 = 0.11*2.2^4.

FAQ

What is Moment of inertia of semicircular section through center of gravity, parallel to base?
The Moment of inertia of semicircular section through center of gravity, parallel to base formula is defined as the .011 times of fourth power of radius and is represented as Is = 0.11*rsc^4 or Moment of Inertia for Solids = 0.11*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 through center of gravity, parallel to base?
The Moment of inertia of semicircular section through center of gravity, parallel to base formula is defined as the .011 times of fourth power of radius is calculated using Moment of Inertia for Solids = 0.11*Radius of semi circle^4. To calculate Moment of inertia of semicircular section through center of gravity, parallel to base, you need Radius of semi circle (rsc). 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 = 0.393*Radius of semi circle^4
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