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Moment of Inertia using Masses of Diatomic Molecule and Bond Length Formula

GoMoment of Inertia of Diatomic Molecule Formula

GoMoment of Inertia using Reduced Mass Formula

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Moment of Inertia of Diatomic Molecule is the measure of the resistance of a body to angular acceleration about a given axis. Check FAQs

I1 = (\frac{m 1 \cdot m 2}{m 1 + m 2}) \cdot ({L bond}^{2})

I1 - Moment of Inertia of Diatomic Molecule?m₁ - Mass 1?m₂ - Mass 2?L_bond - Bond Length?

Moment of Inertia using Masses of Diatomic Molecule and Bond Length Example

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Here is how the Moment of Inertia using Masses of Diatomic Molecule and Bond Length equation looks like with Values.

Here is how the Moment of Inertia using Masses of Diatomic Molecule and Bond Length equation looks like with Units.

Here is how the Moment of Inertia using Masses of Diatomic Molecule and Bond Length equation looks like.

0.0187 = (\frac{14 \cdot 16}{14 + 16}) \cdot (5^{2})

0.0187kg·m² = (\frac{14kg \cdot 16kg}{14kg + 16kg}) \cdot ({5cm}^{2})

0.0187 = (\frac{14 \cdot 16}{14 + 16}) \cdot (5^{2})

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Moment of Inertia using Masses of Diatomic Molecule and Bond Length Solution

Follow our step by step solution on how to calculate Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

FIRST Step Consider the formula

I1 = (\frac{m 1 \cdot m 2}{m 1 + m 2}) \cdot ({L bond}^{2})

Next Step Substitute values of Variables

∴

I1 = (\frac{14kg \cdot 16kg}{14kg + 16kg}) \cdot ({5cm}^{2})

Next Step Convert Units

∴

I1 = (\frac{14kg \cdot 16kg}{14kg + 16kg}) \cdot ({0.05m}^{2})

Next Step Prepare to Evaluate

∴

I1 = (\frac{14 \cdot 16}{14 + 16}) \cdot ({0.05}^{2})

Next Step Evaluate

∴

I1 = 0.0186666666666667kg·m²

LAST Step Rounding Answer

∴

I1 = 0.0187kg·m²

Moment of Inertia using Masses of Diatomic Molecule and Bond Length Formula Elements

Variables

Moment of Inertia of Diatomic Molecule

Moment of Inertia of Diatomic Molecule is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I1

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia of Diatomic Molecule

Mass 1

Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 1

Mass 2

Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 2

Bond Length

Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).

Symbol: L_bond

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Bond Length

Other Formulas to find Moment of Inertia of Diatomic Molecule

Go Moment of Inertia of Diatomic Molecule

I1 = (m 1 \cdot {R 1}^{2}) + (m 2 \cdot {R 2}^{2})

Go Moment of Inertia using Reduced Mass

I1 = μ \cdot ({L bond}^{2})

Other formulas in Moment of Inertia category

Go Moment of Inertia using Kinetic Energy

I2 = 2 \cdot \frac{KE}{ω^{2}}

Go Moment of Inertia using Angular Momentum

I2 = \frac{L}{ω}

Go Moment of Inertia using Kinetic Energy and Angular Momentum

I = \frac{L^{2}}{2 \cdot KE}

Go Moment of Inertia using Rotational Constant

I3 = \frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot B}

How to Evaluate Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

Moment of Inertia using Masses of Diatomic Molecule and Bond Length evaluator uses Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2) to evaluate the Moment of Inertia of Diatomic Molecule, The Moment of inertia using masses of diatomic molecule and bond length formula is basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii. Moment of Inertia of Diatomic Molecule is denoted by I1 symbol.

How to evaluate Moment of Inertia using Masses of Diatomic Molecule and Bond Length using this online evaluator? To use this online evaluator for Moment of Inertia using Masses of Diatomic Molecule and Bond Length, enter Mass 1 (m₁), Mass 2 (m₂) & Bond Length (L_bond) and hit the calculate button.

FAQs on Moment of Inertia using Masses of Diatomic Molecule and Bond Length

What is the formula to find Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

The formula of Moment of Inertia using Masses of Diatomic Molecule and Bond Length is expressed as Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2). Here is an example- 0.018667 = ((14*16)/(14+16))*(0.05^2).

How to calculate Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

With Mass 1 (m₁), Mass 2 (m₂) & Bond Length (L_bond) we can find Moment of Inertia using Masses of Diatomic Molecule and Bond Length using the formula - Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2).

What are the other ways to Calculate Moment of Inertia of Diatomic Molecule?

Here are the different ways to Calculate Moment of Inertia of Diatomic Molecule-

Moment of Inertia of Diatomic Molecule=(Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)
Moment of Inertia of Diatomic Molecule=Reduced Mass*(Bond Length^2)

Can the Moment of Inertia using Masses of Diatomic Molecule and Bond Length be negative?

Yes, the Moment of Inertia using Masses of Diatomic Molecule and Bond Length, measured in Moment of Inertia can be negative.

Which unit is used to measure Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

Moment of Inertia using Masses of Diatomic Molecule and Bond 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 Moment of Inertia using Masses of Diatomic Molecule and Bond Length can be measured.

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Moment of Inertia using Masses of Diatomic Molecule and Bond Length Formula

​GoMoment of Inertia of Diatomic Molecule Formula

​GoMoment of Inertia using Reduced Mass Formula

Moment of Inertia using Masses of Diatomic Molecule and Bond Length Example

Moment of Inertia using Masses of Diatomic Molecule and Bond Length Solution

Moment of Inertia using Masses of Diatomic Molecule and Bond Length Formula Elements

Other Formulas to find Moment of Inertia of Diatomic Molecule

Other formulas in Moment of Inertia category

How to Evaluate Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

FAQs on Moment of Inertia using Masses of Diatomic Molecule and Bond Length

Variable Name

GoMoment of Inertia of Diatomic Molecule Formula

GoMoment of Inertia using Reduced Mass Formula