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Angular Frequency in SHM Calculator

✖Time Period SHM is time required for the periodic motion.ⓘ Time Period SHM [t_p]

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✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency in SHM [ω]

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Formula

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Angular Frequency in SHM

Formula

`"ω" = (2*pi)/"t"_{"p"}`

Example

`"10.28345rev/s"=(2*pi)/"0.611s"`

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Angular Frequency in SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency = (2*pi)/Time Period SHM
ω = (2*pi)/t_p
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Time Period SHM - (Measured in Second) - Time Period SHM is time required for the periodic motion.

STEP 1: Convert Input(s) to Base Unit

Time Period SHM: 0.611 Second --> 0.611 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (2*pi)/t_p --> (2*pi)/0.611

Evaluating ... ...

ω = 10.2834456745983

STEP 3: Convert Result to Output's Unit

10.2834456745983 Hertz -->10.2834456745983 Revolution per Second (Check conversion here)

FINAL ANSWER

10.2834456745983 ≈ 10.28345 Revolution per Second <-- Angular Frequency

(Calculation completed in 00.004 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Basic SHM Equations » Angular Frequency in SHM

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 8 Basic SHM Equations Calculators

Amplitude given Position

Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a Particle

Position of Particle in SHM

Go Position of a Particle = sin(Angular Frequency*Time Period SHM+Phase Angle)/Amplitude

Angular Frequency given Velocity and Distance

Go Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^2))

Angular Frequency given Constant K and Mass

Go Angular Frequency = sqrt(Spring Constant/Mass)

Mass of Particle given Angular Frequency

Go Mass = Spring Constant/(Angular Frequency^2)

Angular Frequency in SHM

Go Angular Frequency = (2*pi)/Time Period SHM

Time Period of SHM

Go Time Period SHM = (2*pi)/Angular Frequency

Frequency of SHM

Go Frequency = 1/Time Period SHM

Angular Frequency in SHM Formula

Angular Frequency = (2*pi)/Time Period SHM
ω = (2*pi)/t_p

What is a Electromagnet?

An electromagnet is a type of magnet whose magnetic field is produced by the flow of electric current. The magnetic field disappears when the current is turned off. Electromagnets are widely used in various applications due to their ability to be controlled by adjusting the electric current.

How to Calculate Angular Frequency in SHM?

Angular Frequency in SHM calculator uses Angular Frequency = (2*pi)/Time Period SHM to calculate the Angular Frequency, Angular Frequency in SHM formula is defined as a measure of the number of oscillations or cycles per second of a particle in simple harmonic motion, which is inversely proportional to the time period of the motion and directly proportional to the angular displacement of the particle from its mean position. Angular Frequency is denoted by ω symbol.

How to calculate Angular Frequency in SHM using this online calculator? To use this online calculator for Angular Frequency in SHM, enter Time Period SHM (t_p) and hit the calculate button. Here is how the Angular Frequency in SHM calculation can be explained with given input values -> 10.28345 = (2*pi)/0.611.

FAQ

What is Angular Frequency in SHM?

Angular Frequency in SHM formula is defined as a measure of the number of oscillations or cycles per second of a particle in simple harmonic motion, which is inversely proportional to the time period of the motion and directly proportional to the angular displacement of the particle from its mean position and is represented as ω = (2*pi)/t_p or Angular Frequency = (2*pi)/Time Period SHM. Time Period SHM is time required for the periodic motion.

How to calculate Angular Frequency in SHM?

Angular Frequency in SHM formula is defined as a measure of the number of oscillations or cycles per second of a particle in simple harmonic motion, which is inversely proportional to the time period of the motion and directly proportional to the angular displacement of the particle from its mean position is calculated using Angular Frequency = (2*pi)/Time Period SHM. To calculate Angular Frequency in SHM, you need Time Period SHM (t_p). With our tool, you need to enter the respective value for Time Period SHM 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 Angular Frequency?

In this formula, Angular Frequency uses Time Period SHM. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angular Frequency = sqrt(Spring Constant/Mass)
Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^2))

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