Rotational Frequency given Velocity of Particle 1 Calculator

✖Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves.ⓘ Velocity of Particle with Mass m1 [v₁]			+10% -10%
✖Radius of mass 1 is a distance of mass 1 from the center of mass.ⓘ Radius of Mass 1 [R₁]			+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 given Velocity of Particle 1 [ν_rot]

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Formula

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Rotational Frequency given Velocity of Particle 1

Formula

`"ν"_{"rot"} = "v"_{"1"}/(2*pi*"R"_{"1"})`

Example

`"16.97653Hz"="1.6m/s"/(2*pi*"1.5cm")`

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Rotational Frequency given Velocity of Particle 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)
ν_rot = v₁/(2*pi*R₁)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Velocity of Particle with Mass m1 - (Measured in Meter per Second) - Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves.
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

Velocity of Particle with Mass m1: 1.6 Meter per Second --> 1.6 Meter per Second No Conversion Required
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν_rot = v₁/(2*pi*R₁) --> 1.6/(2*pi*0.015)

Evaluating ... ...

ν_rot = 16.9765272631355

STEP 3: Convert Result to Output's Unit

16.9765272631355 Hertz --> No Conversion Required

FINAL ANSWER

16.9765272631355 ≈ 16.97653 Hertz <-- Rotational Frequency

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Angular Momentum and Velocity of Diatomic Molecule » Rotational Frequency given Velocity of Particle 1

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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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< 9 Angular Momentum and Velocity of Diatomic Molecule Calculators

Angular Velocity given Kinetic Energy

Go Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2))))

Angular Velocity given Inertia and Kinetic Energy

Go Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia)

Rotational Frequency given Velocity of Particle 1

Go Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)

Rotational Frequency given Velocity of Particle 2

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

Angular Momentum given Moment of Inertia

Go Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy

Angular Momentum given Kinetic Energy

Go Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)

Rotational Frequency given Angular Frequency

Go Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi)

Angular Velocity given Angular Momentum and Inertia

Go Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia

Angular Velocity of Diatomic Molecule

Go Angular Velocity of Diatomic Molecule = 2*pi*Rotational Frequency

< 9 Angular momentum and velocity of diatomic molecule Calculators

Angular Velocity given Kinetic Energy

Go Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2))))

Angular Velocity given Inertia and Kinetic Energy

Go Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia)

Rotational Frequency given Velocity of Particle 1

Go Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)

Rotational Frequency given Velocity of Particle 2

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

Angular Momentum given Moment of Inertia

Go Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy

Angular Momentum given Kinetic Energy

Go Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)

Rotational Frequency given Angular Frequency

Go Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi)

Angular Velocity given Angular Momentum and Inertia

Go Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia

Angular Velocity of Diatomic Molecule

Go Angular Velocity of Diatomic Molecule = 2*pi*Rotational Frequency

Rotational Frequency given Velocity of Particle 1 Formula

Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)
ν_rot = v₁/(2*pi*R₁)

How to get Rotational frequency in terms of velocity 1?

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 Rotational frequency {i.e. f= velocity/(2*pi*r) } and thus we obtain rotational frequency.

How to Calculate Rotational Frequency given Velocity of Particle 1?

Rotational Frequency given Velocity of Particle 1 calculator uses Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1) to calculate the Rotational Frequency, The Rotational Frequency given Velocity of Particle 1 is defined to relate frequency of rotation with velocity and radius. 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, Rotational frequency is velocity divided by (2 * pi times radius). Rotational Frequency is denoted by ν_rot symbol.

How to calculate Rotational Frequency given Velocity of Particle 1 using this online calculator? To use this online calculator for Rotational Frequency given Velocity of Particle 1, enter Velocity of Particle with Mass m1 (v₁) & Radius of Mass 1 (R₁) and hit the calculate button. Here is how the Rotational Frequency given Velocity of Particle 1 calculation can be explained with given input values -> 16.97653 = 1.6/(2*pi*0.015).

FAQ

What is Rotational Frequency given Velocity of Particle 1?

The Rotational Frequency given Velocity of Particle 1 is defined to relate frequency of rotation with velocity and radius. 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, Rotational frequency is velocity divided by (2 * pi times radius) and is represented as ν_rot = v₁/(2*pi*R₁) or Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1). Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves & Radius of mass 1 is a distance of mass 1 from the center of mass.

How to calculate Rotational Frequency given Velocity of Particle 1?

The Rotational Frequency given Velocity of Particle 1 is defined to relate frequency of rotation with velocity and radius. 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, Rotational frequency is velocity divided by (2 * pi times radius) is calculated using Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1). To calculate Rotational Frequency given Velocity of Particle 1, you need Velocity of Particle with Mass m1 (v₁) & Radius of Mass 1 (R₁). With our tool, you need to enter the respective value for Velocity of Particle with Mass m1 & 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.

How many ways are there to calculate Rotational Frequency?

In this formula, Rotational Frequency uses Velocity of Particle with Mass m1 & Radius of Mass 1. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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