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Reduced Mass using Moment of Inertia Formula

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The Reduced Mass1 is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem. Check FAQs

μ1 = \frac{I}{{L bond}^{2}}

μ1 - Reduced Mass1?I - Moment of Inertia?L_bond - Bond Length?

Reduced Mass using Moment of Inertia Example

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Here is how the Reduced Mass using Moment of Inertia equation looks like with Values.

Here is how the Reduced Mass using Moment of Inertia equation looks like with Units.

Here is how the Reduced Mass using Moment of Inertia equation looks like.

450 = \frac{1.125}{5^{2}}

450kg = \frac{1.125kg·m²}{{5cm}^{2}}

450 = \frac{1.125}{5^{2}}

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Reduced Mass using Moment of Inertia Solution

Follow our step by step solution on how to calculate Reduced Mass using Moment of Inertia?

FIRST Step Consider the formula

μ1 = \frac{I}{{L bond}^{2}}

Next Step Substitute values of Variables

∴

μ1 = \frac{1.125kg·m²}{{5cm}^{2}}

Next Step Convert Units

∴

μ1 = \frac{1.125kg·m²}{{0.05m}^{2}}

Next Step Prepare to Evaluate

∴

μ1 = \frac{1.125}{{0.05}^{2}}

LAST Step Evaluate

∴

μ1 = 450kg

Reduced Mass using Moment of Inertia Formula Elements

Variables

Reduced Mass1

The Reduced Mass1 is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.

Symbol: μ1

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Reduced Mass1

Moment of Inertia

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

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

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 in Moment of Inertia category

Go Moment of Inertia using Kinetic Energy

I2 = 2 \cdot \frac{KE}{ω^{2}}

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 Angular Momentum

I2 = \frac{L}{ω}

Go Moment of Inertia using Kinetic Energy and Angular Momentum

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

How to Evaluate Reduced Mass using Moment of Inertia?

Reduced Mass using Moment of Inertia evaluator uses Reduced Mass1 = Moment of Inertia/(Bond Length^2) to evaluate the Reduced Mass1, The Reduced mass using moment of inertia formula is defined as the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem. Reduced Mass1 is denoted by μ1 symbol.

How to evaluate Reduced Mass using Moment of Inertia using this online evaluator? To use this online evaluator for Reduced Mass using Moment of Inertia, enter Moment of Inertia (I) & Bond Length (L_bond) and hit the calculate button.

FAQs on Reduced Mass using Moment of Inertia

What is the formula to find Reduced Mass using Moment of Inertia?

The formula of Reduced Mass using Moment of Inertia is expressed as Reduced Mass1 = Moment of Inertia/(Bond Length^2). Here is an example- 450 = 1.125/(0.05^2).

How to calculate Reduced Mass using Moment of Inertia?

With Moment of Inertia (I) & Bond Length (L_bond) we can find Reduced Mass using Moment of Inertia using the formula - Reduced Mass1 = Moment of Inertia/(Bond Length^2).

Can the Reduced Mass using Moment of Inertia be negative?

Yes, the Reduced Mass using Moment of Inertia, measured in Weight can be negative.

Which unit is used to measure Reduced Mass using Moment of Inertia?

Reduced Mass using Moment of Inertia is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Reduced Mass using Moment of Inertia can be measured.

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