Radius 2 given Rotational Frequency Calculator

✖Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.ⓘ Velocity of Particle with Mass m2 [v₂]			+10% -10%
✖Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.ⓘ Rotational Frequency [ν_rot]			+10% -10%

✖Radius of Mass 2 is a distance of mass 2 from the center of mass.ⓘ Radius 2 given Rotational Frequency [R₂]

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Formula

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Radius 2 given Rotational Frequency

Formula

`"R"_{"2"} = "v"_{"2"}/(2*pi*"ν"_{"rot"})`

Example

`"2.864789cm"="1.8m/s"/(2*pi*"10Hz")`

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Radius 2 given Rotational Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency)
R₂ = v₂/(2*pi*ν_rot)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.
Velocity of Particle with Mass m2 - (Measured in Meter per Second) - Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.
Rotational Frequency - (Measured in Hertz) - Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.

STEP 1: Convert Input(s) to Base Unit

Velocity of Particle with Mass m2: 1.8 Meter per Second --> 1.8 Meter per Second No Conversion Required
Rotational Frequency: 10 Hertz --> 10 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₂ = v₂/(2*pi*ν_rot) --> 1.8/(2*pi*10)

Evaluating ... ...

R₂ = 0.0286478897565412

STEP 3: Convert Result to Output's Unit

0.0286478897565412 Meter -->2.86478897565412 Centimeter (Check conversion here)

FINAL ANSWER

2.86478897565412 ≈ 2.864789 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 given Rotational Frequency

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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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 given Rotational Frequency Formula

Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency)
R₂ = v₂/(2*pi*ν_rot)

How to get Radius 2 when rotational frequency is given?

We know linear velocity (v) is radius(r) times the angular velocity (ω) {i.e. v=r*ω} ,and angular velocity (ω) is equal to the product of the rotational frequency (f) and the constant 2pi {ω= 2*pi* f} . So considering these two relations give us a simple relation of radius {i.e. r= velocity/(2*pi*f) } and thus we obtain Radius 2.

How to Calculate Radius 2 given Rotational Frequency?

Radius 2 given Rotational Frequency calculator uses Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency) to calculate the Radius of Mass 2, The Radius 2 given rotational frequency formula is defined to relate radius with velocity and rotational frequency. The linear velocity is the radius times the angular velocity and further the relation of angular velocity with frequency (angular velocity = 2*pi* frequency). So by these equations, the radius is velocity divided by (2 * pi times Rotational frequency). Radius of Mass 2 is denoted by R₂ symbol.

How to calculate Radius 2 given Rotational Frequency using this online calculator? To use this online calculator for Radius 2 given Rotational Frequency, enter Velocity of Particle with Mass m2 (v₂) & Rotational Frequency (ν_rot) and hit the calculate button. Here is how the Radius 2 given Rotational Frequency calculation can be explained with given input values -> 286.4789 = 1.8/(2*pi*10).

FAQ

What is Radius 2 given Rotational Frequency?

The Radius 2 given rotational frequency formula is defined to relate radius with velocity and rotational frequency. The linear velocity is the radius times the angular velocity and further the relation of angular velocity with frequency (angular velocity = 2*pi* frequency). So by these equations, the radius is velocity divided by (2 * pi times Rotational frequency) and is represented as R₂ = v₂/(2*pi*ν_rot) or Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency). Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves & Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.

How to calculate Radius 2 given Rotational Frequency?

The Radius 2 given rotational frequency formula is defined to relate radius with velocity and rotational frequency. The linear velocity is the radius times the angular velocity and further the relation of angular velocity with frequency (angular velocity = 2*pi* frequency). So by these equations, the radius is velocity divided by (2 * pi times Rotational frequency) is calculated using Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency). To calculate Radius 2 given Rotational Frequency, you need Velocity of Particle with Mass m2 (v₂) & Rotational Frequency (ν_rot). With our tool, you need to enter the respective value for Velocity of Particle with Mass m2 & Rotational Frequency 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 Velocity of Particle with Mass m2 & Rotational Frequency. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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