Radius 1 of Rotation given Masses and Bond Length Calculator

✖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%
✖Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).ⓘ Bond Length [L_bond]			+10% -10%
✖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%

✖Radius 1 of Rotation is a distance of mass 1 from the center of mass.ⓘ Radius 1 of Rotation given Masses and Bond Length [R_r1]

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Radius 1 of Rotation given Masses and Bond Length

Formula

`"R"_{"r1"} = "m"_{"2"}*"L"_{"bond"}/("m"_{"1"}+"m"_{"2"})`

Example

`"2.666667cm"="16kg"*"5cm"/("14kg"+"16kg")`

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Radius 1 of Rotation given Masses and Bond Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2)
R_r1 = m₂*L_bond/(m₁+m₂)
This formula uses 4 Variables

Variables Used

Radius 1 of Rotation - (Measured in Meter) - Radius 1 of Rotation is a distance of mass 1 from the center of mass.
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.
Bond Length - (Measured in Meter) - Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).
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.

STEP 1: Convert Input(s) to Base Unit

Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Bond Length: 5 Centimeter --> 0.05 Meter (Check conversion here)
Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_r1 = m₂*L_bond/(m₁+m₂) --> 16*0.05/(14+16)

Evaluating ... ...

R_r1 = 0.0266666666666667

STEP 3: Convert Result to Output's Unit

0.0266666666666667 Meter -->2.66666666666667 Centimeter (Check conversion here)

FINAL ANSWER

2.66666666666667 ≈ 2.666667 Centimeter <-- Radius 1 of Rotation

(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 1 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 1 of Rotation given Masses and Bond Length Formula

Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2)
R_r1 = m₂*L_bond/(m₁+m₂)

How to get Radius 1 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 1 of rotation is mass fraction of body 2 times bond length.

How to Calculate Radius 1 of Rotation given Masses and Bond Length?

Radius 1 of Rotation given Masses and Bond Length calculator uses Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2) to calculate the Radius 1 of Rotation, The Radius 1 of rotation given masses and bond length formula is defined as mass fraction of body 2 times the total bond length. So it is directly proportional to mass fraction of body 2 ( i.e., M2/(M1+M2) ). Radius 1 of Rotation is denoted by R_r1 symbol.

How to calculate Radius 1 of Rotation given Masses and Bond Length using this online calculator? To use this online calculator for Radius 1 of Rotation given Masses and Bond Length, enter Mass 2 (m₂), Bond Length (L_bond) & Mass 1 (m₁) and hit the calculate button. Here is how the Radius 1 of Rotation given Masses and Bond Length calculation can be explained with given input values -> 266.6667 = 16*0.05/(14+16).

FAQ

What is Radius 1 of Rotation given Masses and Bond Length?

The Radius 1 of rotation given masses and bond length formula is defined as mass fraction of body 2 times the total bond length. So it is directly proportional to mass fraction of body 2 ( i.e., M2/(M1+M2) ) and is represented as R_r1 = m₂*L_bond/(m₁+m₂) or Radius 1 of Rotation = Mass 2*Bond Length/(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, Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses) & Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

How to calculate Radius 1 of Rotation given Masses and Bond Length?

The Radius 1 of rotation given masses and bond length formula is defined as mass fraction of body 2 times the total bond length. So it is directly proportional to mass fraction of body 2 ( i.e., M2/(M1+M2) ) is calculated using Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2). To calculate Radius 1 of Rotation given Masses and Bond Length, you need Mass 2 (m₂), Bond Length (L_bond) & Mass 1 (m₁). With our tool, you need to enter the respective value for Mass 2, Bond Length & Mass 1 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 1 of Rotation?

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

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

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