Rotational Frequency given Angular Frequency Calculator

✖Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity Spectroscopy [ω]

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✖Rotational Frequency given Angular Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.ⓘ Rotational Frequency given Angular Frequency [ν_rot2]

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Rotational Frequency given Angular Frequency

Formula

`"ν"_{"rot2"} = "ω"/(2*pi)`

Example

`"3.183099Hz"="20rad/s"/(2*pi)`

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Download Angular Momentum and Velocity of Diatomic Molecule Formulas PDF

Rotational Frequency given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi)
ν_rot2 = ω/(2*pi)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Rotational Frequency given Angular Frequency - (Measured in Hertz) - Rotational Frequency given Angular Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.
Angular Velocity Spectroscopy - (Measured in Radian per Second) - Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity Spectroscopy: 20 Radian per Second --> 20 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν_rot2 = ω/(2*pi) --> 20/(2*pi)

Evaluating ... ...

ν_rot2 = 3.18309886183791

STEP 3: Convert Result to Output's Unit

3.18309886183791 Hertz --> No Conversion Required

FINAL ANSWER

3.18309886183791 ≈ 3.183099 Hertz <-- Rotational Frequency given Angular Frequency

(Calculation completed in 00.020 seconds)

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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 Angular Frequency Formula

Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi)
ν_rot2 = ω/(2*pi)

How do we get Rotational frequency when angular frequency is given?

Angular velocity(ω) is rate of change of angular displacement with respect to time. Where as rotational frequency(f) is number of revolution per unit time. As one revolution have angular displacement equal to 2*pi radians. Thus rotational frequency and angular velocity can be related as rotational frequency is equal to angular velocity divided by 2*pi {i.e. f = ω/(2*pi) }.

How to Calculate Rotational Frequency given Angular Frequency?

Rotational Frequency given Angular Frequency calculator uses Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi) to calculate the Rotational Frequency given Angular Frequency, The Rotational frequency given angular frequency formula is defined as number of revolutions per unit time. As one revolution have angular displacement equal to 2*pi radians. Thus rotational frequency (f) and angular velocity(ω) can be related as rotational frequency is equal to angular velocity divided by 2*pi {i.e. f = ω/(2*pi) }. Rotational Frequency given Angular Frequency is denoted by ν_rot2 symbol.

How to calculate Rotational Frequency given Angular Frequency using this online calculator? To use this online calculator for Rotational Frequency given Angular Frequency, enter Angular Velocity Spectroscopy (ω) and hit the calculate button. Here is how the Rotational Frequency given Angular Frequency calculation can be explained with given input values -> 3.183099 = 20/(2*pi).

FAQ

What is Rotational Frequency given Angular Frequency?

The Rotational frequency given angular frequency formula is defined as number of revolutions per unit time. As one revolution have angular displacement equal to 2*pi radians. Thus rotational frequency (f) and angular velocity(ω) can be related as rotational frequency is equal to angular velocity divided by 2*pi {i.e. f = ω/(2*pi) } and is represented as ν_rot2 = ω/(2*pi) or Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi). Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

How to calculate Rotational Frequency given Angular Frequency?

The Rotational frequency given angular frequency formula is defined as number of revolutions per unit time. As one revolution have angular displacement equal to 2*pi radians. Thus rotational frequency (f) and angular velocity(ω) can be related as rotational frequency is equal to angular velocity divided by 2*pi {i.e. f = ω/(2*pi) } is calculated using Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi). To calculate Rotational Frequency given Angular Frequency, you need Angular Velocity Spectroscopy (ω). With our tool, you need to enter the respective value for Angular Velocity Spectroscopy 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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