Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid 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%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+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 Cuboid about y-axis Passing through Centroid [I_yy]

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Formula

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

Formula

I yy = \frac{M}{12} \cdot (L^{2} + w^{2})

Example

11.75544 kg·m² = \frac{35.45 kg}{12} \cdot ({1.055 m}^{2} + {1.693 m}^{2})

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

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2)
I_yy = M/12*(L^2+w^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.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Length: 1.055 Meter --> 1.055 Meter No Conversion Required
Width: 1.693 Meter --> 1.693 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_yy = M/12*(L^2+w^2) --> 35.45/12*(1.055^2+1.693^2)

Evaluating ... ...

I_yy = 11.7554386083333

STEP 3: Convert Result to Output's Unit

11.7554386083333 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

11.7554386083333 ≈ 11.75544 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 Calculators

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

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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 Cuboid about y-axis Passing through Centroid Formula

Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2)
I_yy = M/12*(L^2+w^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 Cuboid about y-axis Passing through Centroid?

Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid calculator uses Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2) to calculate the Mass Moment of Inertia about Y-axis, The Mass moment of inertia of cuboid about y-axis passing through centroid formula is defined as the 1/12 times of mass multiplied to sum of the squares of length and width of cuboid. Mass Moment of Inertia about Y-axis is denoted by I_yy symbol.

How to calculate Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid using this online calculator? To use this online calculator for Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid, enter Mass (M), Length (L) & Width (w) and hit the calculate button. Here is how the Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid calculation can be explained with given input values -> 11.75544 = 35.45/12*(1.055^2+1.693^2).

FAQ

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

The Mass moment of inertia of cuboid about y-axis passing through centroid formula is defined as the 1/12 times of mass multiplied to sum of the squares of length and width of cuboid and is represented as I_yy = M/12*(L^2+w^2) or Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Length is the measurement or extent of something from end to end & Width is the measurement or extent of something from side to side.

How to calculate Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid?

The Mass moment of inertia of cuboid about y-axis passing through centroid formula is defined as the 1/12 times of mass multiplied to sum of the squares of length and width of cuboid is calculated using Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2). To calculate Mass Moment of Inertia of Cuboid about y-axis Passing through Centroid, you need Mass (M), Length (L) & Width (w). With our tool, you need to enter the respective value for Mass, Length & Width 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, Length & Width. 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*Length of Rectangular Section^2)/12

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