FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoMass Moment of Inertia of Cuboid about z-axis Passing through Centroid Formula

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

Fx Copy

LaTeX Copy

Mass Moment of Inertia about Z-axis of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis. Check FAQs

I zz = \frac{M \cdot r^{2}}{2}

I_zz - Mass Moment of Inertia about Z-axis?M - Mass?r - Radius?

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

With values

With units

Only example

Here is how the Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate equation looks like with Values.

Here is how the Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate equation looks like with Units.

Here is how the Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate equation looks like.

23.4413 = \frac{35.45 \cdot {1.15}^{2}}{2}

23.4413kg·m² = \frac{35.45kg \cdot {1.15m}^{2}}{2}

23.4413 = \frac{35.45 \cdot {1.15}^{2}}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Mechanics » fx 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 Solution

Follow our step by step solution on how to calculate Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate?

FIRST Step Consider the formula

I zz = \frac{M \cdot r^{2}}{2}

Next Step Substitute values of Variables

∴

I zz = \frac{35.45kg \cdot {1.15m}^{2}}{2}

Next Step Prepare to Evaluate

∴

I zz = \frac{35.45 \cdot {1.15}^{2}}{2}

Next Step Evaluate

∴

I zz = 23.4413125kg·m²

LAST Step Rounding Answer

∴

I zz = 23.4413kg·m²

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

Variables

Mass Moment of Inertia about Z-axis

Mass Moment of Inertia about Z-axis of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.

Symbol: I_zz

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Mass Moment of Inertia about Z-axis

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass

Radius

Radius is a radial line from the focus to any point of a curve.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius

Other Formulas to find Mass Moment of Inertia about Z-axis

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

I zz = \frac{M}{12} \cdot (L^{2} + H^{2})

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

I zz = \frac{M}{12} \cdot ({L rect}^{2} + B^{2})

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

I zz = \frac{M \cdot {L rod}^{2}}{12}

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

I zz = \frac{M}{12} \cdot (3 \cdot {R cyl}^{2} + {H cyl}^{2})

Other formulas in Mass Moment of Inertia category

Go Mass Moment of Inertia of Circular Plate about y-axis Passing through Centroid

I yy = \frac{M \cdot r^{2}}{4}

Go Mass Moment of Inertia of Circular Plate about x-axis Passing through Centroid

I xx = \frac{M \cdot r^{2}}{4}

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

I xx = \frac{3}{10} \cdot M \cdot {R c}^{2}

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

I yy = \frac{3}{20} \cdot M \cdot ({R c}^{2} + 4 \cdot {H c}^{2})

How to Evaluate 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 evaluator uses Mass Moment of Inertia about Z-axis = (Mass*Radius^2)/2 to evaluate 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 is denoted by I_zz symbol.

How to evaluate Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate using this online evaluator? To use this online evaluator for Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate, enter Mass (M) & Radius (r) and hit the calculate button.

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

What is the formula to find Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate?

The formula of Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate is expressed as Mass Moment of Inertia about Z-axis = (Mass*Radius^2)/2. Here is an example- 6.595473 = (35.45*1.15^2)/2.

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

With Mass (M) & Radius (r) we can find Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate using the formula - Mass Moment of Inertia about Z-axis = (Mass*Radius^2)/2.

What are the other ways to Calculate Mass Moment of Inertia about Z-axis?

Here are the different ways to Calculate Mass Moment of Inertia about Z-axis-

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

Can the Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate be negative?

Yes, the Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate, measured in Moment of Inertia can be negative.

Which unit is used to measure 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 is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Mass Moment of Inertia of Circular Plate about z-axis through Centroid, Perpendicular to Plate can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoMass Moment of Inertia of Cuboid about z-axis Passing through Centroid Formula

​GoMass Moment of Inertia of Rectangular Plate about z-axis through Centroid, Perpendicular to Plate Formula

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

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

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

Other Formulas to find Mass Moment of Inertia about Z-axis

Other formulas in Mass Moment of Inertia category

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

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

Variable Name

GoMass Moment of Inertia of Cuboid about z-axis Passing through Centroid Formula

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