Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth 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 of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.ⓘ Length of Rectangular Section [L_rect]			+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 Rectangular Plate about y-axis through Centroid, Parallel to Breadth [I_yy]

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

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12
I_yy = (M*L_rect^2)/12
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.
Length of Rectangular Section - (Measured in Meter) - Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Length of Rectangular Section: 2.01 Meter --> 2.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_yy = (M*L_rect^2)/12 --> (35.45*2.01^2)/12

Evaluating ... ...

I_yy = 11.93512875

STEP 3: Convert Result to Output's Unit

11.93512875 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

11.93512875 ≈ 11.93513 Kilogram Square Meter <-- Mass Moment of Inertia about Y-axis

(Calculation completed in 00.020 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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

LaTeX Go

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

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 Rectangular Plate about y-axis through Centroid, Parallel to Breadth?

Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth calculator uses Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12 to calculate the Mass Moment of Inertia about Y-axis, Mass moment of inertia of rectangular plate about y-axis through centroid, parallel to breadth formula is defined as the product of mass of rectangle and square of the length of rectangle, divided by 12. Mass Moment of Inertia about Y-axis is denoted by I_yy symbol.

How to calculate Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth using this online calculator? To use this online calculator for Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth, enter Mass (M) & Length of Rectangular Section (L_rect) and hit the calculate button. Here is how the Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth calculation can be explained with given input values -> 6.646875 = (35.45*2.01^2)/12.

FAQ

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

Mass moment of inertia of rectangular plate about y-axis through centroid, parallel to breadth formula is defined as the product of mass of rectangle and square of the length of rectangle, divided by 12 and is represented as I_yy = (M*L_rect^2)/12 or Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.

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

Mass moment of inertia of rectangular plate about y-axis through centroid, parallel to breadth formula is defined as the product of mass of rectangle and square of the length of rectangle, divided by 12 is calculated using Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12. To calculate Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth, you need Mass (M) & Length of Rectangular Section (L_rect). With our tool, you need to enter the respective value for Mass & Length of Rectangular Section 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 of Rectangular Section. 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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