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

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

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

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Mass Moment of Inertia about Y-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 yy = \frac{3}{20} \cdot M \cdot ({R c}^{2} + 4 \cdot {H c}^{2})

I_yy - Mass Moment of Inertia about Y-axis?M - Mass?R_c - Radius of Cone?H_c - Height of Cone?

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

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Here is how the Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point equation looks like with Values.

Here is how the Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point equation looks like with Units.

Here is how the Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point equation looks like.

11.614 = \frac{3}{20} \cdot 35.45 \cdot ({1.04}^{2} + 4 \cdot {0.525}^{2})

11.614kg·m² = \frac{3}{20} \cdot 35.45kg \cdot ({1.04m}^{2} + 4 \cdot {0.525m}^{2})

11.614 = \frac{3}{20} \cdot 35.45 \cdot ({1.04}^{2} + 4 \cdot {0.525}^{2})

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

Follow our step by step solution on how to calculate Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I yy = \frac{3}{20} \cdot 35.45kg \cdot ({1.04m}^{2} + 4 \cdot {0.525m}^{2})

Next Step Prepare to Evaluate

∴

I yy = \frac{3}{20} \cdot 35.45 \cdot ({1.04}^{2} + 4 \cdot {0.525}^{2})

Next Step Evaluate

∴

I yy = 11.61395175kg·m²

LAST Step Rounding Answer

∴

I yy = 11.614kg·m²

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

Variables

Mass Moment of Inertia about Y-axis

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

Symbol: I_yy

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Mass Moment of Inertia about Y-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 of Cone

Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Cone

Height of Cone

Height of Cone is measure of vertical distance, either vertical extent or vertical position.

Symbol: H_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cone

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

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 Cuboid about y-axis Passing through Centroid

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

Go Mass Moment of Inertia of Rectangular Plate about y-axis through Centroid, Parallel to Breadth

I yy = \frac{M \cdot {L rect}^{2}}{12}

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

I yy = \frac{M \cdot {L rod}^{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 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})

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

Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point evaluator uses Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2) to evaluate the Mass Moment of Inertia about Y-axis, The Mass moment of inertia of cone about y-axis perpendicular to height, passing through apex point formula is defined as the 3/20 times of mass multiplied to the sum of square of radius of cone and 4 times of square of height of cone. Mass Moment of Inertia about Y-axis is denoted by I_yy symbol.

How to evaluate Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point using this online evaluator? To use this online evaluator for Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point, enter Mass (M), Radius of Cone (R_c) & Height of Cone (H_c) and hit the calculate button.

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

What is the formula to find Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point?

The formula of Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point is expressed as Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2). Here is an example- 11.61395 = 3/20*35.45*(1.04^2+4*0.525^2).

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

With Mass (M), Radius of Cone (R_c) & Height of Cone (H_c) we can find Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point using the formula - Mass Moment of Inertia about Y-axis = 3/20*Mass*(Radius of Cone^2+4*Height of Cone^2).

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

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

Mass Moment of Inertia about Y-axis=(Mass*Radius^2)/4
Mass Moment of Inertia about Y-axis=Mass/12*(Length^2+Width^2)
Mass Moment of Inertia about Y-axis=(Mass*Length of Rectangular Section^2)/12

Can the Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point be negative?

Yes, the Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point, measured in Moment of Inertia can be negative.

Which unit is used to measure Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point?

Mass Moment of Inertia of Cone about y-axis Perpendicular to Height, Passing through Apex Point 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 Cone about y-axis Perpendicular to Height, Passing through Apex Point can be measured.

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

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

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

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

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

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

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

Other formulas in Mass Moment of Inertia category

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

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

Variable Name

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

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