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

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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 B^{2}}{12}

I_xx - Mass Moment of Inertia about X-axis?M - Mass?B - Breadth of Rectangular Section?

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

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

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

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

11.6988 = \frac{35.45 \cdot {1.99}^{2}}{12}

11.6988kg·m² = \frac{35.45kg \cdot {1.99m}^{2}}{12}

11.6988 = \frac{35.45 \cdot {1.99}^{2}}{12}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I xx = \frac{35.45kg \cdot {1.99m}^{2}}{12}

Next Step Prepare to Evaluate

∴

I xx = \frac{35.45 \cdot {1.99}^{2}}{12}

Next Step Evaluate

∴

I xx = 11.6987954166667kg·m²

LAST Step Rounding Answer

∴

I xx = 11.6988kg·m²

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

Breadth of Rectangular Section

Breadth of Rectangular Section is the shortest length.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Section

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 Solid Cylinder about x-axis through Centroid, Perpendicular to Length

I xx = \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 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 Rectangular Plate about x-axis through Centroid, Parallel to Length?

Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length evaluator uses Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12 to evaluate the Mass Moment of Inertia about X-axis, Mass moment of inertia of rectangular plate about x-axis through centroid, parallel to length formula is defined as the product of mass of rectangle and square of the breadth of rectangle, divided by 12. Mass Moment of Inertia about X-axis is denoted by I_xx symbol.

How to evaluate Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length using this online evaluator? To use this online evaluator for Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length, enter Mass (M) & Breadth of Rectangular Section (B) and hit the calculate button.

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

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

The formula of Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length is expressed as Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12. Here is an example- 1.248135 = (35.45*1.99^2)/12.

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

With Mass (M) & Breadth of Rectangular Section (B) we can find Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length using the formula - Mass Moment of Inertia about X-axis = (Mass*Breadth of Rectangular Section^2)/12.

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 Rectangular Plate about x-axis through Centroid, Parallel to Length be negative?

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

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

Mass Moment of Inertia of Rectangular Plate about x-axis through Centroid, Parallel to Length 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 Rectangular Plate about x-axis through Centroid, Parallel to Length can be measured.

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