Radius 2 of Rotation given Masses and Bond Length 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%
✖Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).ⓘ Bond Length [L_bond]			+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%

✖Radius of Mass 2 is a distance of mass 2 from the center of mass.ⓘ Radius 2 of Rotation given Masses and Bond Length [R₂]

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Radius 2 of Rotation given Masses and Bond Length

Formula

`"R"_{"2"} = "m"_{"1"}*"L"_{"bond"}/("m"_{"1"}+"m"_{"2"})`

Example

`"2.333333cm"="14kg"*"5cm"/("14kg"+"16kg")`

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Radius 2 of Rotation given Masses and Bond Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2)
R₂ = m₁*L_bond/(m₁+m₂)
This formula uses 4 Variables

Variables Used

Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.
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.
Bond Length - (Measured in Meter) - Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).
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
Bond Length: 5 Centimeter --> 0.05 Meter (Check conversion here)
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₂ = m₁*L_bond/(m₁+m₂) --> 14*0.05/(14+16)

Evaluating ... ...

R₂ = 0.0233333333333333

STEP 3: Convert Result to Output's Unit

0.0233333333333333 Meter -->2.33333333333333 Centimeter (Check conversion here)

FINAL ANSWER

2.33333333333333 ≈ 2.333333 Centimeter <-- Radius of Mass 2

(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 » Radius 2 of Rotation given Masses and Bond Length

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 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

Radius 2 of Rotation given Masses and Bond Length Formula

Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2)
R₂ = m₁*L_bond/(m₁+m₂)

How to get Radius 2 of rotation in terms of masses and bond length?

Using the concept of reduced mass (M1*R1=M2*R2) and bond length is a sum of both radii (L= R1+ R2). Through simple algebra, the radius can be found in terms of masses and bond length. That is, radius 2 of rotation is the mass fraction of body_1 times bond length.

How to Calculate Radius 2 of Rotation given Masses and Bond Length?

Radius 2 of Rotation given Masses and Bond Length calculator uses Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2) to calculate the Radius of Mass 2, Radius 2 of rotation given masses and bond length formula is defined as mass fraction of body_1 times the total bond length. So it is directly proportional to mass fraction of body_1 ( i.e., M1/(M1+M2) ). Radius of Mass 2 is denoted by R₂ symbol.

How to calculate Radius 2 of Rotation given Masses and Bond Length using this online calculator? To use this online calculator for Radius 2 of Rotation given Masses and Bond Length, enter Mass 1 (m₁), Bond Length (L_bond) & Mass 2 (m₂) and hit the calculate button. Here is how the Radius 2 of Rotation given Masses and Bond Length calculation can be explained with given input values -> 233.3333 = 14*0.05/(14+16).

FAQ

What is Radius 2 of Rotation given Masses and Bond Length?

Radius 2 of rotation given masses and bond length formula is defined as mass fraction of body_1 times the total bond length. So it is directly proportional to mass fraction of body_1 ( i.e., M1/(M1+M2) ) and is represented as R₂ = m₁*L_bond/(m₁+m₂) or Radius of Mass 2 = Mass 1*Bond Length/(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, Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses) & 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 Radius 2 of Rotation given Masses and Bond Length?

Radius 2 of rotation given masses and bond length formula is defined as mass fraction of body_1 times the total bond length. So it is directly proportional to mass fraction of body_1 ( i.e., M1/(M1+M2) ) is calculated using Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2). To calculate Radius 2 of Rotation given Masses and Bond Length, you need Mass 1 (m₁), Bond Length (L_bond) & Mass 2 (m₂). With our tool, you need to enter the respective value for Mass 1, Bond Length & Mass 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Mass 2?

In this formula, Radius of Mass 2 uses Mass 1, Bond Length & Mass 2. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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