Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base Calculator

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Properties of Planes and Solids

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Mass Moment of Inertia

Mass of Solids

Mechanics and Statistics of Materials

Moment of Inertia in Solids

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%
✖The Height of Triangle is the length of the altitude from the opposite vertex to that base.ⓘ Height of Triangle [H_tri]			+10% -10%

✖Mass Moment of Inertia about X-axis of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.ⓘ Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base [I_xx]

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Formula

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Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base

Formula

`"I"_{"xx"} = ("M"*"H"_{"tri"}^2)/18`

Example

`"11.62937kg·m²"=("35.45kg"*("2.43m")^2)/18`

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Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18
I_xx = (M*H_tri^2)/18
This formula uses 3 Variables

Variables Used

Mass Moment of Inertia about X-axis - (Measured in Kilogram Square Meter) - Mass Moment of Inertia about X-axis of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Height of Triangle - (Measured in Meter) - The Height of Triangle is the length of the altitude from the opposite vertex to that base.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Height of Triangle: 2.43 Meter --> 2.43 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_xx = (M*H_tri^2)/18 --> (35.45*2.43^2)/18

Evaluating ... ...

I_xx = 11.6293725

STEP 3: Convert Result to Output's Unit

11.6293725 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

11.6293725 ≈ 11.62937 Kilogram Square Meter <-- Mass Moment of Inertia about X-axis

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< 22 Mass Moment of Inertia Calculators

Mass Moment of Inertia of Rectangular Plate about z-axis through Centroid, Perpendicular to Plate

Go Mass Moment of Inertia about Z-axis = Mass/12*(Length of Rectangular Section^2+Breadth of Rectangular Section^2)

Mass Moment of Inertia of Triangular Plate about z-axis through Centroid, Perpendicular to Plate

Go Mass Moment of Inertia about Z-axis = Mass/72*(3*Base of Triangle^2+4*Height of Triangle^2)

Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point

Go Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2)

Mass Moment of Inertia of Solid Cylinder about x-axis through Centroid, Perpendicular to Length

Go Mass Moment of Inertia about X-axis = Mass/12*(3*Cylinder Radius^2+Cylinder Height^2)

Mass Moment of Inertia of Solid Cylinder about z-axis through Centroid, Perpendicular to Length

Go Mass Moment of Inertia about Z-axis = Mass/12*(3*Cylinder Radius^2+Cylinder Height^2)

Mass Moment of Inertia of Cuboid about z-axis Passing through Centroid

Go Mass Moment of Inertia about Z-axis = Mass/12*(Length^2+Height^2)

Mass Moment of Inertia of Cuboid about x-axis Passing through Centroid, Parallel to Length

Go Mass Moment of Inertia about X-axis = Mass/12*(Width^2+Height^2)

Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid

Go Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2)

Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length

Go Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12

Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth

Go Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12

Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base

Go Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18

Mass Moment of Inertia of Triangular Plate about y-axis Passing through Centroid, Parallel to Height

Go Mass Moment of Inertia about Y-axis = (Mass*Base of Triangle^2)/24

Mass Moment of Inertia of Solid Sphere about x-axis Passing through Centroid

Go Mass Moment of Inertia about X-axis = 2/5*Mass*Radius of Sphere^2

Mass Moment of Inertia of Solid Sphere about y-axis Passing through Centroid

Go Mass Moment of Inertia about Y-axis = 2/5*Mass*Radius of Sphere^2

Mass Moment of Inertia of Solid Sphere about z-axis Passing through Centroid

Go Mass Moment of Inertia about Z-axis = 2/5*Mass*Radius of Sphere^2

Mass Moment of Inertia of Cone about x-axis Passing through Centroid, Perpendicular to Base

Go Mass Moment of Inertia about X-axis = 3/10*Mass*Radius of Cone^2

Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length

Go Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2

Mass Moment of Inertia of Rod about y-axis Passing through Centroid, Perpendicular to Length of Rod

Go Mass Moment of Inertia about Y-axis = (Mass*Length of Rod^2)/12

Mass Moment of Inertia of Rod about z-axis Passing through Centroid, Perpendicular to Length of Rod

Go Mass Moment of Inertia about Z-axis = (Mass*Length of Rod^2)/12

Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate

Go Mass Moment of Inertia about Z-axis = (Mass*Radius^2)/2

Mass Moment of Inertia of Circular Plate about y-axis Passing through Centroid

Go Mass Moment of Inertia about Y-axis = (Mass*Radius^2)/4

Mass Moment of Inertia of Circular Plate about x-axis Passing through Centroid

Go Mass Moment of Inertia about X-axis = (Mass*Radius^2)/4

Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base Formula

Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18
I_xx = (M*H_tri^2)/18

What is mass moment of inertia?

Mass moment of inertia of a body measures the ability of body to resist changes in rotational speed about a specific axis. The larger the Mass Moment of Inertia the smaller the angular acceleration about that axis for a given torque. It basically characterizes the acceleration undergone by an object or solid when torque is applied.

How to Calculate Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base?

Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base calculator uses Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18 to calculate the Mass Moment of Inertia about X-axis, The Mass moment of inertia of triangular plate about x-axis passing through centroid, parallel to base formula is defined as the product of mass and square of height of triangle, divided by 18. Mass Moment of Inertia about X-axis is denoted by I_xx symbol.

How to calculate Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base using this online calculator? To use this online calculator for Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base, enter Mass (M) & Height of Triangle (H_tri) and hit the calculate button. Here is how the Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base calculation can be explained with given input values -> 23.17032 = (35.45*2.43^2)/18.

FAQ

What is Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base?

The Mass moment of inertia of triangular plate about x-axis passing through centroid, parallel to base formula is defined as the product of mass and square of height of triangle, divided by 18 and is represented as I_xx = (M*H_tri^2)/18 or Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & The Height of Triangle is the length of the altitude from the opposite vertex to that base.

How to calculate Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base?

The Mass moment of inertia of triangular plate about x-axis passing through centroid, parallel to base formula is defined as the product of mass and square of height of triangle, divided by 18 is calculated using Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18. To calculate Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base, you need Mass (M) & Height of Triangle (H_tri). With our tool, you need to enter the respective value for Mass & Height of Triangle 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 Mass Moment of Inertia about X-axis?

In this formula, Mass Moment of Inertia about X-axis uses Mass & Height of Triangle. We can use 6 other way(s) to calculate the same, which is/are as follows -

Mass Moment of Inertia about X-axis = (Mass*Radius^2)/4
Mass Moment of Inertia about X-axis = 3/10*Mass*Radius of Cone^2
Mass Moment of Inertia about X-axis = Mass/12*(Width^2+Height^2)
Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12
Mass Moment of Inertia about X-axis = Mass/12*(3*Cylinder Radius^2+Cylinder Height^2)
Mass Moment of Inertia about X-axis = 2/5*Mass*Radius of Sphere^2

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