Moment of Inertia of Right Circular Hollow Cylinder about its Axis 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 00.020 seconds)

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Rotational Motion Calculators

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​ 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 Right Circular Hollow Cylinder about its Axis Formula

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

What is meant by inertia?

Inertness, especially with regard to effort, motion, action, and the like; inactivity; sluggishness. Physics. the property of matter by which it retains its state of rest or its velocity along a straight line so long as it is not acted upon by an external force. an analogous property of a force: electric inertia.

How to Calculate Moment of Inertia of Right Circular Hollow Cylinder about its Axis?

Moment of Inertia of Right Circular Hollow Cylinder about its Axis calculator uses Moment of Inertia = Mass of Body*Radius of Body^2 to calculate the Moment of Inertia, Moment of Inertia of Right Circular Hollow Cylinder about its Axis formula is defined as the measure of an object's resistance to changes in its rotation, which depends on the mass distribution of the object and the axis of rotation, providing a fundamental concept in understanding rotational motion. Moment of Inertia is denoted by I symbol.

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

FAQ

What is Moment of Inertia of Right Circular Hollow Cylinder about its Axis?
Moment of Inertia of Right Circular Hollow Cylinder about its Axis formula is defined as the measure of an object's resistance to changes in its rotation, which depends on the mass distribution of the object and the axis of rotation, providing a fundamental concept in understanding rotational motion 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 Right Circular Hollow Cylinder about its Axis?
Moment of Inertia of Right Circular Hollow Cylinder about its Axis formula is defined as the measure of an object's resistance to changes in its rotation, which depends on the mass distribution of the object and the axis of rotation, providing a fundamental concept in understanding rotational motion is calculated using Moment of Inertia = Mass of Body*Radius of Body^2. To calculate Moment of Inertia of Right Circular Hollow Cylinder about its Axis, 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
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