Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point 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%
✖Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Cone [R_c]			+10% -10%
✖Height of Cone is measure of vertical distance, either vertical extent or vertical position.ⓘ Height of Cone [H_c]			+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 Cone about y-axis Perpendicular to Height, Passing through Apex Point [I_yy]

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

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2)
I_yy = 3/20*M*(R_c^2+4*H_c^2)
This formula uses 4 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.
Radius of Cone - (Measured in Meter) - Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Height of Cone - (Measured in Meter) - Height of Cone is measure of vertical distance, either vertical extent or vertical position.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Radius of Cone: 1.04 Meter --> 1.04 Meter No Conversion Required
Height of Cone: 0.525 Meter --> 0.525 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_yy = 3/20*M*(R_c^2+4*H_c^2) --> 3/20*35.45*(1.04^2+4*0.525^2)

Evaluating ... ...

I_yy = 11.61395175

STEP 3: Convert Result to Output's Unit

11.61395175 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

11.61395175 ≈ 11.61395 Kilogram Square Meter <-- Mass Moment of Inertia about Y-axis

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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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 Cone about y-axis Perpendicular to Height, Passing through Apex Point Formula

LaTeX Go

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

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 Cone about y-axis Perpendicular to Height, Passing through Apex Point?

Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point calculator uses Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2) to calculate the Mass Moment of Inertia about Y-axis, The Mass moment of inertia of cone about y-axis perpendicular to height, passing through apex point formula is defined as the 3/20 times of mass multiplied to the sum of square of radius of cone and 4 times of square of height of cone. Mass Moment of Inertia about Y-axis is denoted by I_yy symbol.

How to calculate Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point using this online calculator? To use this online calculator for Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point, enter Mass (M), Radius of Cone (R_c) & Height of Cone (H_c) and hit the calculate button. Here is how the Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point calculation can be explained with given input values -> 11.61395 = 3/20*35.45*(1.04^2+4*0.525^2).

FAQ

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

The Mass moment of inertia of cone about y-axis perpendicular to height, passing through apex point formula is defined as the 3/20 times of mass multiplied to the sum of square of radius of cone and 4 times of square of height of cone and is represented as I_yy = 3/20*M*(R_c^2+4*H_c^2) or Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length & Height of Cone is measure of vertical distance, either vertical extent or vertical position.

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

The Mass moment of inertia of cone about y-axis perpendicular to height, passing through apex point formula is defined as the 3/20 times of mass multiplied to the sum of square of radius of cone and 4 times of square of height of cone is calculated using Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2). To calculate Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point, you need Mass (M), Radius of Cone (R_c) & Height of Cone (H_c). With our tool, you need to enter the respective value for Mass, Radius of Cone & Height of Cone 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, Radius of Cone & Height of Cone. 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 = Mass/12*(Length^2+Width^2)
Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12

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