Time Period of SHM Calculator

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Simple Harmonic Motion(SHM)

Angular Frequency

Distance

Elasticity

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Empirical Constant's for SHM

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

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

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Formula

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Time Period of SHM

Formula

`"t"_{"p"} = (2*pi)/"ω"`

Example

`"0.611205s"=(2*pi)/"10.28rev/s"`

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Time Period of SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = (2*pi)/ω --> (2*pi)/10.28

Evaluating ... ...

t_p = 0.611204796418248

STEP 3: Convert Result to Output's Unit

0.611204796418248 Second --> No Conversion Required

FINAL ANSWER

0.611204796418248 ≈ 0.611205 Second <-- Time Period SHM

(Calculation completed in 00.004 seconds)

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Credits

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 10+ Simple Harmonic Motion(SHM) Calculators

Position of Particle in SHM

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

Distance Traveled by Particle in SHM until Velocity becomes Zero

Go Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)

Velocity of Particle in SHM

Go Velocity = Angular Frequency*sqrt(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2)

Square of Different Distances Traveled in SHM

Go Total Distance Traveled = Distance Traveled when Velocity becomes 0^2-Distance Traveled^2

Distance Traveled in SHM given Angular Frequency

Go Distance Traveled = Acceleration/(-Angular Frequency^2)

Acceleration in SHM given Angular Frequency

Go Acceleration = -Angular Frequency^2*Distance Traveled

Restoring Force in SHM

Go Restoring Force = Spring Constant*Distance Traveled

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

Time Period of SHM Formula

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

What is a shm?

Simple harmonic motion(SHM) is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Time Period of SHM?

Time Period of SHM calculator uses Time Period SHM = (2*pi)/Angular Frequency to calculate the Time Period SHM, Time Period of SHM is the minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period. Time Period SHM is denoted by t_p symbol.

How to calculate Time Period of SHM using this online calculator? To use this online calculator for Time Period of SHM, enter Angular Frequency (ω) and hit the calculate button. Here is how the Time Period of SHM calculation can be explained with given input values -> 0.611205 = (2*pi)/10.28.

FAQ

What is Time Period of SHM?

Time Period of SHM is the minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period and is represented as t_p = (2*pi)/ω or Time Period SHM = (2*pi)/Angular Frequency. Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

How to calculate Time Period of SHM?

Time Period of SHM is the minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period is calculated using Time Period SHM = (2*pi)/Angular Frequency. To calculate Time Period of SHM, you need Angular Frequency (ω). With our tool, you need to enter the respective value for Angular Frequency 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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