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 Triangular Plate about x-axis Passing through Centroid, Parallel to Base Formula

GoMass Moment of Inertia of Circular Plate about x-axis Passing through Centroid Formula

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

Fx Copy

LaTeX Copy

Mass Moment of Inertia about X-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 xx = \frac{M \cdot {H tri}^{2}}{18}

I_xx - Mass Moment of Inertia about X-axis?M - Mass?H_tri - Height of Triangle?

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

With values

With units

Only example

Here is how the Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base equation looks like with Values.

Here is how the Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base equation looks like with Units.

Here is how the Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base equation looks like.

11.6294 = \frac{35.45 \cdot {2.43}^{2}}{18}

11.6294kg·m² = \frac{35.45kg \cdot {2.43m}^{2}}{18}

11.6294 = \frac{35.45 \cdot {2.43}^{2}}{18}

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 Triangular Plate about x-axis Passing through Centroid, Parallel to Base

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

Follow our step by step solution on how to calculate Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base?

FIRST Step Consider the formula

I xx = \frac{M \cdot {H tri}^{2}}{18}

Next Step Substitute values of Variables

∴

I xx = \frac{35.45kg \cdot {2.43m}^{2}}{18}

Next Step Prepare to Evaluate

∴

I xx = \frac{35.45 \cdot {2.43}^{2}}{18}

Next Step Evaluate

∴

I xx = 11.6293725kg·m²

LAST Step Rounding Answer

∴

I xx = 11.6294kg·m²

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

Variables

Mass Moment of Inertia about X-axis

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

Symbol: I_xx

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Mass Moment of Inertia about X-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

Height of Triangle

The Height of Triangle is the length of the altitude from the opposite vertex to that base.

Symbol: H_tri

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangle

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

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 Cuboid about x-axis Passing through Centroid, Parallel to Length

I xx = \frac{M}{12} \cdot (w^{2} + H^{2})

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

I xx = \frac{M \cdot B^{2}}{12}

Other formulas in Mass Moment of Inertia category

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

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

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 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})

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

I yy = \frac{M}{12} \cdot (L^{2} + w^{2})

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

Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base evaluator uses Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18 to evaluate the Mass Moment of Inertia about X-axis, The Mass moment of inertia of triangular plate about x-axis passing through centroid, parallel to base formula is defined as the product of mass and square of height of triangle, divided by 18. Mass Moment of Inertia about X-axis is denoted by I_xx symbol.

How to evaluate Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base using this online evaluator? To use this online evaluator for Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base, enter Mass (M) & Height of Triangle (H_tri) and hit the calculate button.

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

What is the formula to find Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base?

The formula of Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base is expressed as Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18. Here is an example- 23.17032 = (35.45*2.43^2)/18.

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

With Mass (M) & Height of Triangle (H_tri) we can find Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base using the formula - Mass Moment of Inertia about X-axis = (Mass*Height of Triangle^2)/18.

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

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

Mass Moment of Inertia about X-axis=(Mass*Radius^2)/4
Mass Moment of Inertia about X-axis=3/10*Mass*Radius of Cone^2
Mass Moment of Inertia about X-axis=Mass/12*(Width^2+Height^2)

Can the Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base be negative?

Yes, the Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base, measured in Moment of Inertia can be negative.

Which unit is used to measure Mass Moment of Inertia of Triangular Plate about x-axis Passing through Centroid, Parallel to Base?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit