Mass 1 of Diatomic Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1
md1 = m2*R2/R1
This formula uses 4 Variables
Variables Used
Mass 1 of Diatomic Molecule - (Measured in Kilogram) - Mass 1 of Diatomic Molecule 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.
Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.
Radius of Mass 1 - (Measured in Meter) - Radius of mass 1 is a distance of mass 1 from the center of mass.
STEP 1: Convert Input(s) to Base Unit
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion here)
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
md1 = m2*R2/R1 --> 16*0.03/0.015
Evaluating ... ...
md1 = 32
STEP 3: Convert Result to Output's Unit
32 Kilogram --> No Conversion Required
FINAL ANSWER
32 Kilogram <-- Mass 1 of Diatomic Molecule
(Calculation completed in 00.004 seconds)

Credits

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

Mass 1 of Diatomic Molecule Formula

Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1
md1 = m2*R2/R1

How do we get the mass 1 of diatomic molecule?

System can be solved by using the concept of reduce mass which allows it to be treated as one rotating body. Center of mass (as frame of reference) is the point around which pure rotation can occur. In this case of diatomic, angular velocity is same for both atoms. Thus on equating angular momentum we get the required relation.

How to calculate Mass 1 of diatomic molecule?

Mass 1 of diatomic molecule can be calculated by using the concept of reduced mass, i.e. M1 *R1 = M2 *R2 where M1 = Mass 1 of diatomic molecule; M2 =Mass 2 of diatomic molecule; R1 and R2 are respected distances from center of mass

How to Calculate Mass 1 of Diatomic Molecule?

Mass 1 of Diatomic Molecule calculator uses Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1 to calculate the Mass 1 of Diatomic Molecule, The Mass 1 of diatomic molecule is mass that satisfies equilibrium conditions for mass 2 such that radius 1 and radius 2 are distances from the center of mass or point about which rotation occurs. Mass 1 of Diatomic Molecule is denoted by md1 symbol.

How to calculate Mass 1 of Diatomic Molecule using this online calculator? To use this online calculator for Mass 1 of Diatomic Molecule, enter Mass 2 (m2), Radius of Mass 2 (R2) & Radius of Mass 1 (R1) and hit the calculate button. Here is how the Mass 1 of Diatomic Molecule calculation can be explained with given input values -> 32 = 16*0.03/0.015.

FAQ

What is Mass 1 of Diatomic Molecule?
The Mass 1 of diatomic molecule is mass that satisfies equilibrium conditions for mass 2 such that radius 1 and radius 2 are distances from the center of mass or point about which rotation occurs and is represented as md1 = m2*R2/R1 or Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1. Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it, Radius of Mass 2 is a distance of mass 2 from the center of mass & Radius of mass 1 is a distance of mass 1 from the center of mass.
How to calculate Mass 1 of Diatomic Molecule?
The Mass 1 of diatomic molecule is mass that satisfies equilibrium conditions for mass 2 such that radius 1 and radius 2 are distances from the center of mass or point about which rotation occurs is calculated using Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1. To calculate Mass 1 of Diatomic Molecule, you need Mass 2 (m2), Radius of Mass 2 (R2) & Radius of Mass 1 (R1). With our tool, you need to enter the respective value for Mass 2, Radius of Mass 2 & Radius of Mass 1 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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