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

✖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 Cone about x-axis Passing through Centroid, Perpendicular to Base [I_xx]

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

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about X-axis = 3/10*Mass*Radius of Cone^2
I_xx = 3/10*M*R_c^2
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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_xx = 3/10*M*R_c^2 --> 3/10*35.45*1.04^2

Evaluating ... ...

I_xx = 11.502816

STEP 3: Convert Result to Output's Unit

11.502816 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

11.502816 ≈ 11.50282 Kilogram Square Meter <-- Mass Moment of Inertia about X-axis

(Calculation completed in 00.004 seconds)

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< Mass Moment of Inertia Calculators

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

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

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LaTeX 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

LaTeX 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

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

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

LaTeX Go

Mass Moment of Inertia about X-axis = 3/10*Mass*Radius of Cone^2
I_xx = 3/10*M*R_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 x-axis Passing through Centroid, Perpendicular to Base?

Mass Moment of Inertia of Cone about x-axis Passing through Centroid, Perpendicular to Base calculator uses Mass Moment of Inertia about X-axis = 3/10*Mass*Radius of Cone^2 to calculate the Mass Moment of Inertia about X-axis, The Mass moment of inertia of cone about x-axis passing through centroid, perpendicular to base formula is defined as the 3/10 times of mass multiplied to square of the radius of cone. Mass Moment of Inertia about X-axis is denoted by I_xx symbol.

How to calculate Mass Moment of Inertia of Cone about x-axis Passing through Centroid, Perpendicular to Base using this online calculator? To use this online calculator for Mass Moment of Inertia of Cone about x-axis Passing through Centroid, Perpendicular to Base, enter Mass (M) & Radius of Cone (R_c) and hit the calculate button. Here is how the Mass Moment of Inertia of Cone about x-axis Passing through Centroid, Perpendicular to Base calculation can be explained with given input values -> 11.50282 = 3/10*35.45*1.04^2.

FAQ

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

The Mass moment of inertia of cone about x-axis passing through centroid, perpendicular to base formula is defined as the 3/10 times of mass multiplied to square of the radius of cone and is represented as I_xx = 3/10*M*R_c^2 or Mass Moment of Inertia about X-axis = 3/10*Mass*Radius 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.

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

The Mass moment of inertia of cone about x-axis passing through centroid, perpendicular to base formula is defined as the 3/10 times of mass multiplied to square of the radius of cone is calculated using Mass Moment of Inertia about X-axis = 3/10*Mass*Radius of Cone^2. To calculate Mass Moment of Inertia of Cone about x-axis Passing through Centroid, Perpendicular to Base, you need Mass (M) & Radius of Cone (R_c). With our tool, you need to enter the respective value for Mass & Radius 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 X-axis?

In this formula, Mass Moment of Inertia about X-axis uses Mass & Radius of Cone. We can use 3 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 = Mass/12*(Width^2+Height^2)
Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12

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