LCM of two numbers

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center Calculator

Physics Chemistry Engineering Financial More >>

↳

Mechanical Aerospace Basic Physics Others and Extra

⤿

Theory of Machine Automobile Design of Automobile Elements Design of Machine Elements More >>

⤿

Rotational Motion Balancing of Rotating Masses Belt, Rope and Chain Drives Brakes and Dynamometers More >>

✖Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Body [M]			+10% -10%
✖Radius of Body is a radial line from the focus to any point of a curve.ⓘ Radius of Body [r]			+10% -10%

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia of Circular Ring about Perpendicular Axis through its Center [I]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Theory of Machine Formula PDF PDF Image

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = Mass of Body*Radius of Body^2
I = M*r^2
This formula uses 3 Variables

Variables Used

Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Mass of Body - (Measured in Kilogram) - Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Radius of Body - (Measured in Meter) - Radius of Body is a radial line from the focus to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Radius of Body: 2.1 Meter --> 2.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = M*r^2 --> 12.6*2.1^2

Evaluating ... ...

I = 55.566

STEP 3: Convert Result to Output's Unit

55.566 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

55.566 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Mechanical » Rotational Motion » Moment of Inertia of Circular Ring about Perpendicular Axis through its Center

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Rotational Motion Calculators

Moment of Inertia of Solid Sphere about its Diameter

LaTeX Go Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5

Moment of Inertia of Rod about Perpendicular Axis through its Center

LaTeX Go Moment of Inertia = (Mass of Body*Length of Rod^2)/12

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center

LaTeX Go Moment of Inertia = Mass of Body*Radius of Body^2

Moment of Inertia of Right Circular Hollow Cylinder about its Axis

LaTeX Go Moment of Inertia = Mass of Body*Radius of Body^2

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center Formula

LaTeX Go

Moment of Inertia = Mass of Body*Radius of Body^2
I = M*r^2

What does moment of inertia mean?

Moment of inertia, in physics, quantitative measure of a body's rotational inertia—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force). The axis may be internal or external and may or may not be fixed.

How to Calculate Moment of Inertia of Circular Ring about Perpendicular Axis through its Center?

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center calculator uses Moment of Inertia = Mass of Body*Radius of Body^2 to calculate the Moment of Inertia, Moment of Inertia of Circular Ring about Perpendicular Axis through its Center formula is defined as a measure of the ring's resistance to changes in its rotational motion, with the axis of rotation passing through the center of the ring and perpendicular to its plane, in a rotational motion context. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Circular Ring about Perpendicular Axis through its Center using this online calculator? To use this online calculator for Moment of Inertia of Circular Ring about Perpendicular Axis through its Center, enter Mass of Body (M) & Radius of Body (r) and hit the calculate button. Here is how the Moment of Inertia of Circular Ring about Perpendicular Axis through its Center calculation can be explained with given input values -> 55.566 = 12.6*2.1^2.

FAQ

What is Moment of Inertia of Circular Ring about Perpendicular Axis through its Center?

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center formula is defined as a measure of the ring's resistance to changes in its rotational motion, with the axis of rotation passing through the center of the ring and perpendicular to its plane, in a rotational motion context and is represented as I = M*r^2 or Moment of Inertia = Mass of Body*Radius of Body^2. Mass of Body is the quantity of matter in a body regardless of its volume or of any forces acting on it & Radius of Body is a radial line from the focus to any point of a curve.

How to calculate Moment of Inertia of Circular Ring about Perpendicular Axis through its Center?

Moment of Inertia of Circular Ring about Perpendicular Axis through its Center formula is defined as a measure of the ring's resistance to changes in its rotational motion, with the axis of rotation passing through the center of the ring and perpendicular to its plane, in a rotational motion context is calculated using Moment of Inertia = Mass of Body*Radius of Body^2. To calculate Moment of Inertia of Circular Ring about Perpendicular Axis through its Center, you need Mass of Body (M) & Radius of Body (r). With our tool, you need to enter the respective value for Mass of Body & Radius of Body 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 Moment of Inertia?

In this formula, Moment of Inertia uses Mass of Body & Radius of Body. We can use 3 other way(s) to calculate the same, which is/are as follows -

Moment of Inertia = 2*(Mass of Body*Radius of Body^2)/5
Moment of Inertia = Mass of Body*Radius of Body^2
Moment of Inertia = (Mass of Body*Length of Rod^2)/12

Home

FREE PDFs

🔍 Search