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Institute of Aeronautical Engineering (IARE), Hyderabad
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Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
mass_moment_of_inertia_about_z = (Mass*Radius^2)/2
Izz = (m*r^2)/2
This formula uses 2 Variables
Variables Used
Mass - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. (Measured in Kilogram)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Izz = (m*r^2)/2 --> (35.45*10^2)/2
Evaluating ... ...
Izz = 1772.5
STEP 3: Convert Result to Output's Unit
1772.5 Kilogram Meter² --> No Conversion Required
FINAL ANSWER
1772.5 Kilogram Meter² <-- Mass moment of inertia about z-axis
(Calculation completed in 00.009 seconds)

3 Mass Moment of Inertia of Circular Plate Calculators

Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate
mass_moment_of_inertia_about_z = (Mass*Radius^2)/2 Go
Mass moment of inertia of circular plate about x-axis passing through centroid
mass_moment_of_inertia_about_x = (Mass*Radius^2)/4 Go
Mass moment of inertia of circular plate about y-axis passing through centroid
mass_moment_of_inertia_about_y = (Mass*Radius^2)/4 Go

Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate Formula

mass_moment_of_inertia_about_z = (Mass*Radius^2)/2
Izz = (m*r^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 circular plate about z-axis through centroid, perpendicular to plate?

Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate calculator uses mass_moment_of_inertia_about_z = (Mass*Radius^2)/2 to calculate the Mass moment of inertia about z-axis, Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate formula is defined as the half of product of mass and square of the radius of circle. Mass moment of inertia about z-axis and is denoted by Izz symbol.

How to calculate Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate using this online calculator? To use this online calculator for Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate, enter Mass (m) and Radius (r) and hit the calculate button. Here is how the Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate calculation can be explained with given input values -> 1772.5 = (35.45*10^2)/2.

FAQ

What is Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate?
Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate formula is defined as the half of product of mass and square of the radius of circle and is represented as Izz = (m*r^2)/2 or mass_moment_of_inertia_about_z = (Mass*Radius^2)/2. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it and Radius is a radial line from the focus to any point of a curve.
How to calculate Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate?
Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate formula is defined as the half of product of mass and square of the radius of circle is calculated using mass_moment_of_inertia_about_z = (Mass*Radius^2)/2. To calculate Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate, you need Mass (m) and Radius (r). With our tool, you need to enter the respective value for Mass and 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 z-axis?
In this formula, Mass moment of inertia about z-axis uses Mass and Radius. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • mass_moment_of_inertia_about_x = (Mass*Radius^2)/4
  • mass_moment_of_inertia_about_y = (Mass*Radius^2)/4
  • mass_moment_of_inertia_about_z = (Mass*Radius^2)/2
Where is the Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate calculator used?
Among many, Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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