Reduced Mass Calculator

✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%

✖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.ⓘ Reduced Mass [μ]

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Formula

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Reduced Mass

Formula

`"μ" = (("m"_{"1"}*"m"_{"2"})/("m"_{"1"}+"m"_{"2"}))`

Example

`"7.466667kg"=(("14kg"*"16kg")/("14kg"+"16kg"))`

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Download Rotational Spectroscopy Formula PDF

Reduced Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2))
μ = ((m₁*m₂)/(m₁+m₂))
This formula uses 3 Variables

Variables Used

Reduced Mass - (Measured in Kilogram) - 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.
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = ((m₁*m₂)/(m₁+m₂)) --> ((14*16)/(14+16))

Evaluating ... ...

μ = 7.46666666666667

STEP 3: Convert Result to Output's Unit

7.46666666666667 Kilogram --> No Conversion Required

FINAL ANSWER

7.46666666666667 ≈ 7.466667 Kilogram <-- Reduced Mass

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Reduced Mass and Radius of Diatomic Molecule » Reduced Mass

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 13 Reduced Mass and Radius of Diatomic Molecule Calculators

Radius 2 given Moment of Inertia

Go Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2)

Radius 1 given Moment of Inertia

Go Mass 2 of Diatomic Molecule = sqrt((Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Mass 1)

Mass 2 given Moment of Inertia

Go Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2

Mass 1 given Moment of Inertia

Go Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2

Radius 1 given Rotational Frequency

Go Mass 2 of Diatomic Molecule = Velocity of Particle with Mass m1/(2*pi*Rotational Frequency)

Radius 1 of Rotation given Masses and Bond Length

Go Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2)

Radius 2 of Rotation given Masses and Bond Length

Go Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2)

Radius 2 given Rotational Frequency

Go Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency)

Reduced Mass

Go Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2))

Mass 1 of Diatomic Molecule

Go Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1

Mass 2 of Diatomic Molecule

Go Mass 2 of Diatomic Molecule = Mass 1*Radius of Mass 1/Radius of Mass 2

Radius 2 of Rotation

Go Radius 1 given Rotational Frequency = Mass 1*Radius of Mass 1/Mass 2

Radius 1 of Rotation

Go Radius 1 of Rotation = Mass 2*Radius of Mass 2/Mass 1

< 13 Reduced Mass and Radius of Diatomic Molecule Calculators

Radius 2 given Moment of Inertia

Go Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2)

Radius 1 given Moment of Inertia

Go Mass 2 of Diatomic Molecule = sqrt((Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Mass 1)

Mass 2 given Moment of Inertia

Go Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2

Mass 1 given Moment of Inertia

Go Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2

Radius 1 given Rotational Frequency

Go Mass 2 of Diatomic Molecule = Velocity of Particle with Mass m1/(2*pi*Rotational Frequency)

Radius 1 of Rotation given Masses and Bond Length

Go Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2)

Radius 2 of Rotation given Masses and Bond Length

Go Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2)

Radius 2 given Rotational Frequency

Go Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency)

Reduced Mass

Go Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2))

Mass 1 of Diatomic Molecule

Go Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1

Mass 2 of Diatomic Molecule

Go Mass 2 of Diatomic Molecule = Mass 1*Radius of Mass 1/Radius of Mass 2

Radius 2 of Rotation

Go Radius 1 given Rotational Frequency = Mass 1*Radius of Mass 1/Mass 2

Radius 1 of Rotation

Go Radius 1 of Rotation = Mass 2*Radius of Mass 2/Mass 1

Reduced Mass Formula

Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2))
μ = ((m₁*m₂)/(m₁+m₂))

How to get Reduced mass?

Given two bodies, one with mass m1 and the other with mass m2, the equivalent single body of mass (reduced mass) is half of their harmonic mean. Note: reduced mass is always less than or equal to the mass of each body.

How to Calculate Reduced Mass?

Reduced Mass calculator uses Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2)) to calculate 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 calculate Reduced Mass using this online calculator? To use this online calculator for Reduced Mass, enter Mass 1 (m₁) & Mass 2 (m₂) and hit the calculate button. Here is how the Reduced Mass calculation can be explained with given input values -> 7.466667 = ((14*16)/(14+16)).

FAQ

What is 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 and is represented as μ = ((m₁*m₂)/(m₁+m₂)) or Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2)). Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it & Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

How to calculate 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 is calculated using Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2)). To calculate Reduced Mass, you need Mass 1 (m₁) & Mass 2 (m₂). With our tool, you need to enter the respective value for Mass 1 & Mass 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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