LCM of two numbers

Time Period of SHM Calculator

✖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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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: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = (2*pi)/ω --> (2*pi)/10.28508

Evaluating ... ...

t_p = 0.610902910544166

STEP 3: Convert Result to Output's Unit

0.610902910544166 Second --> No Conversion Required

FINAL ANSWER

0.610902910544166 ≈ 0.610903 Second <-- Time Period SHM

(Calculation completed in 00.004 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Basic SHM Equations » Time Period of SHM

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Basic SHM Equations Calculators

Position of Particle in SHM

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

Angular Frequency in SHM

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

Time Period of SHM

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

Frequency of SHM

LaTeX Go Frequency = 1/Time Period SHM

Time Period of SHM Formula

LaTeX Go

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

What is a Position of Particle ?

The position of a particle refers to its location in space at a given point in time. It is a fundamental concept in physics, particularly in mechanics, where it helps describe the motion of particles and objects. The position can be specified in different coordinate systems, such as Cartesian coordinates, polar coordinates, or spherical coordinates, depending on the context and dimensionality of the problem.

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 formula is defined as the time taken by an object to complete one oscillation or cycle in simple harmonic motion, representing the fixed interval of time between two consecutive identical configurations of the oscillating body, it is a fundamental characteristic of SHM, depicting the repetition of motion. 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)/10.28508.

FAQ

What is Time Period of SHM?

Time Period of SHM formula is defined as the time taken by an object to complete one oscillation or cycle in simple harmonic motion, representing the fixed interval of time between two consecutive identical configurations of the oscillating body, it is a fundamental characteristic of SHM, depicting the repetition of motion 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 formula is defined as the time taken by an object to complete one oscillation or cycle in simple harmonic motion, representing the fixed interval of time between two consecutive identical configurations of the oscillating body, it is a fundamental characteristic of SHM, depicting the repetition of motion 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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