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

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%
✖Base of Triangle is one side in a triangle.ⓘ Base of Triangle [b_tri]			+10% -10%

✖Mass Moment of Inertia about Y-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 y-axis Passing through Centroid, Parallel to Height [I_yy]

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

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about Y-axis = (Mass*Base of Triangle^2)/24
I_yy = (M*b_tri^2)/24
This formula uses 3 Variables

Variables Used

Mass Moment of Inertia about Y-axis - (Measured in Kilogram Square Meter) - Mass Moment of Inertia about Y-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.
Base of Triangle - (Measured in Meter) - Base of Triangle is one side in a triangle.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Base of Triangle: 2.82 Meter --> 2.82 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_yy = (M*b_tri^2)/24 --> (35.45*2.82^2)/24

Evaluating ... ...

I_yy = 11.7463575

STEP 3: Convert Result to Output's Unit

11.7463575 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

11.7463575 ≈ 11.74636 Kilogram Square Meter <-- Mass Moment of Inertia about Y-axis

(Calculation completed in 00.020 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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

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

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

LaTeX Go

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

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 y-axis Passing through Centroid, Parallel to Height?

Mass Moment of Inertia of Triangular Plate about y-axis Passing through Centroid, Parallel to Height calculator uses Mass Moment of Inertia about Y-axis = (Mass*Base of Triangle^2)/24 to calculate the Mass Moment of Inertia about Y-axis, The Mass moment of inertia of triangular plate about y-axis passing through centroid, parallel to height formula is defined as the product of mass and square of base of triangle, divided by 24. Mass Moment of Inertia about Y-axis is denoted by I_yy symbol.

How to calculate Mass Moment of Inertia of Triangular Plate about y-axis Passing through Centroid, Parallel to Height using this online calculator? To use this online calculator for Mass Moment of Inertia of Triangular Plate about y-axis Passing through Centroid, Parallel to Height, enter Mass (M) & Base of Triangle (b_tri) and hit the calculate button. Here is how the Mass Moment of Inertia of Triangular Plate about y-axis Passing through Centroid, Parallel to Height calculation can be explained with given input values -> 0.236333 = (35.45*2.82^2)/24.

FAQ

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

The Mass moment of inertia of triangular plate about y-axis passing through centroid, parallel to height formula is defined as the product of mass and square of base of triangle, divided by 24 and is represented as I_yy = (M*b_tri^2)/24 or Mass Moment of Inertia about Y-axis = (Mass*Base of Triangle^2)/24. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Base of Triangle is one side in a triangle.

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

The Mass moment of inertia of triangular plate about y-axis passing through centroid, parallel to height formula is defined as the product of mass and square of base of triangle, divided by 24 is calculated using Mass Moment of Inertia about Y-axis = (Mass*Base of Triangle^2)/24. To calculate Mass Moment of Inertia of Triangular Plate about y-axis Passing through Centroid, Parallel to Height, you need Mass (M) & Base of Triangle (b_tri). With our tool, you need to enter the respective value for Mass & Base 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 Y-axis?

In this formula, Mass Moment of Inertia about Y-axis uses Mass & Base of Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mass Moment of Inertia about Y-axis = (Mass*Radius^2)/4
Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2)
Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2)

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