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Reduced Mass Formula

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The Reduced Mass 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

μ = (\frac{m 1 \cdot m 2}{m 1 + m 2})

μ - Reduced Mass?m₁ - Mass 1?m₂ - Mass 2?

Reduced Mass Example

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Here is how the Reduced Mass equation looks like with Values.

Here is how the Reduced Mass equation looks like with Units.

Here is how the Reduced Mass equation looks like.

7.4667 = (\frac{14 \cdot 16}{14 + 16})

7.4667kg = (\frac{14kg \cdot 16kg}{14kg + 16kg})

7.4667 = (\frac{14 \cdot 16}{14 + 16})

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Reduced Mass Solution

Follow our step by step solution on how to calculate Reduced Mass?

FIRST Step Consider the formula

μ = (\frac{m 1 \cdot m 2}{m 1 + m 2})

Next Step Substitute values of Variables

∴

μ = (\frac{14kg \cdot 16kg}{14kg + 16kg})

Next Step Prepare to Evaluate

∴

μ = (\frac{14 \cdot 16}{14 + 16})

Next Step Evaluate

∴

μ = 7.46666666666667kg

LAST Step Rounding Answer

∴

μ = 7.4667kg

Reduced Mass Formula Elements

Variables

Reduced Mass

The Reduced Mass 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: μ

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Reduced Mass

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

Other formulas in Reduced Mass and Radius of Diatomic Molecule category

Go Mass 1 of Diatomic Molecule

m d1 = m 2 \cdot \frac{R 2}{R 1}

Go Mass 1 given Moment of Inertia

m_1 = \frac{I - (m 2 \cdot {R 2}^{2})}{{R 1}^{2}}

Go Mass 2 of Diatomic Molecule

m d2 = m 1 \cdot \frac{R 1}{R 2}

Go Mass 2 given Moment of Inertia

m i2 = \frac{I - (m 1 \cdot {R 1}^{2})}{{R 2}^{2}}

How to Evaluate Reduced Mass?

Reduced Mass evaluator uses Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2)) to evaluate the Reduced Mass, The Reduced mass 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 Mass is denoted by μ symbol.

How to evaluate Reduced Mass using this online evaluator? To use this online evaluator for Reduced Mass, enter Mass 1 (m₁) & Mass 2 (m₂) and hit the calculate button.

FAQs on Reduced Mass

What is the formula to find Reduced Mass?

The formula of Reduced Mass is expressed as Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2)). Here is an example- 7.466667 = ((14*16)/(14+16)).

How to calculate Reduced Mass?

With Mass 1 (m₁) & Mass 2 (m₂) we can find Reduced Mass using the formula - Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2)).

Can the Reduced Mass be negative?

No, the Reduced Mass, measured in Weight cannot be negative.

Which unit is used to measure Reduced Mass?

Reduced Mass 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 can be measured.

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Reduced Mass Formula

Reduced Mass Example

Reduced Mass Solution

Reduced Mass Formula Elements

Other formulas in Reduced Mass and Radius of Diatomic Molecule category

How to Evaluate Reduced Mass?

FAQs on Reduced Mass

Variable Name