Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length Calculator

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Properties of Planes and Solids

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Mass Moment of Inertia

Mass of Solids

Mechanics and Statistics of Materials

Moment of Inertia in Solids

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%
✖The Cylinder Radius is the radius of its base.ⓘ Cylinder Radius [R_cyl]			+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 Solid Cylinder about y-axis through Centroid, Parallel to Length [I_yy]

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Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length

Formula

`"I"_{"yy"} = ("M"*"R"_{"cyl"}^2)/2`

Example

`"23.64559kg·m²"=("35.45kg"*("1.155m")^2)/2`

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Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2
I_yy = (M*R_cyl^2)/2
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.
Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its base.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Cylinder Radius: 1.155 Meter --> 1.155 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_yy = (M*R_cyl^2)/2 --> (35.45*1.155^2)/2

Evaluating ... ...

I_yy = 23.645593125

STEP 3: Convert Result to Output's Unit

23.645593125 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

23.645593125 ≈ 23.64559 Kilogram Square Meter <-- Mass Moment of Inertia about Y-axis

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanics » Properties of Planes and Solids » Mass Moment of Inertia » Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< 22 Mass Moment of Inertia Calculators

Mass Moment of Inertia of Rectangular Plate about z-axis through Centroid, Perpendicular to Plate

Go Mass Moment of Inertia about Z-axis = Mass/12*(Length of Rectangular Section^2+Breadth of Rectangular Section^2)

Mass Moment of Inertia of Triangular Plate about z-axis through Centroid, Perpendicular to Plate

Go Mass Moment of Inertia about Z-axis = Mass/72*(3*Base of Triangle^2+4*Height of Triangle^2)

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

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

Mass Moment of Inertia of Solid Cylinder about x-axis through Centroid, Perpendicular to Length

Go Mass Moment of Inertia about X-axis = Mass/12*(3*Cylinder Radius^2+Cylinder Height^2)

Mass Moment of Inertia of Solid Cylinder about z-axis through Centroid, Perpendicular to Length

Go Mass Moment of Inertia about Z-axis = Mass/12*(3*Cylinder Radius^2+Cylinder Height^2)

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

Go Mass Moment of Inertia about Z-axis = Mass/12*(Length^2+Height^2)

Mass Moment of Inertia of Cuboid about x-axis Passing through Centroid, Parallel to Length

Go Mass Moment of Inertia about X-axis = Mass/12*(Width^2+Height^2)

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

Go Mass Moment of Inertia about Y-axis = Mass/12*(Length^2+Width^2)

Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length

Go Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12

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

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

Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base

Go Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18

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

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

Mass Moment of Inertia of Solid Sphere about x-axis Passing through Centroid

Go Mass Moment of Inertia about X-axis = 2/5*Mass*Radius of Sphere^2

Mass Moment of Inertia of Solid Sphere about y-axis Passing through Centroid

Go Mass Moment of Inertia about Y-axis = 2/5*Mass*Radius of Sphere^2

Mass Moment of Inertia of Solid Sphere about z-axis Passing through Centroid

Go Mass Moment of Inertia about Z-axis = 2/5*Mass*Radius of Sphere^2

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

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

Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length

Go Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2

Mass Moment of Inertia of Rod about y-axis Passing through Centroid, Perpendicular to Length of Rod

Go Mass Moment of Inertia about Y-axis = (Mass*Length of Rod^2)/12

Mass Moment of Inertia of Rod about z-axis Passing through Centroid, Perpendicular to Length of Rod

Go Mass Moment of Inertia about Z-axis = (Mass*Length of Rod^2)/12

Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate

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 Solid Cylinder about y-axis through Centroid, Parallel to Length Formula

Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2
I_yy = (M*R_cyl^2)/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 Solid Cylinder about y-axis through Centroid, Parallel to Length?

Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length calculator uses Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2 to calculate the Mass Moment of Inertia about Y-axis, The Mass moment of inertia of solid cylinder about y-axis through centroid, parallel to length formula is defined as the half of product mass and square of the radius of the cylinder. Mass Moment of Inertia about Y-axis is denoted by I_yy symbol.

How to calculate Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length using this online calculator? To use this online calculator for Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length, enter Mass (M) & Cylinder Radius (R_cyl) and hit the calculate button. Here is how the Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length calculation can be explained with given input values -> 23.44131 = (35.45*1.155^2)/2.

FAQ

What is Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length?

The Mass moment of inertia of solid cylinder about y-axis through centroid, parallel to length formula is defined as the half of product mass and square of the radius of the cylinder and is represented as I_yy = (M*R_cyl^2)/2 or Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & The Cylinder Radius is the radius of its base.

How to calculate Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length?

The Mass moment of inertia of solid cylinder about y-axis through centroid, parallel to length formula is defined as the half of product mass and square of the radius of the cylinder is calculated using Mass Moment of Inertia about Y-axis = (Mass*Cylinder Radius^2)/2. To calculate Mass Moment of Inertia of Solid Cylinder about y-axis through Centroid, Parallel to Length, you need Mass (M) & Cylinder Radius (R_cyl). With our tool, you need to enter the respective value for Mass & Cylinder Radius 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 & Cylinder Radius. We can use 7 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)
Mass Moment of Inertia about Y-axis = (Mass*Length of Rectangular Section^2)/12
Mass Moment of Inertia about Y-axis = (Mass*Length of Rod^2)/12
Mass Moment of Inertia about Y-axis = 2/5*Mass*Radius of Sphere^2
Mass Moment of Inertia about Y-axis = (Mass*Base of Triangle^2)/24

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