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Period of Motion in Simple Harmonic Motion Calculator

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Elements of Vibration Forced Vibration Free Vibration of Single DOF Undamped Torsional System Undamped Free Vibration

✖Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.ⓘ Angular Velocity [ω]

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✖Time Period of Oscillations is the time taken by an oscillating body to complete one oscillation or cycle in mechanical vibrations.ⓘ Period of Motion in Simple Harmonic Motion [T]

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Period of Motion in Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Oscillations = 2*pi/Angular Velocity
T = 2*pi/ω
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Time Period of Oscillations - (Measured in Second) - Time Period of Oscillations is the time taken by an oscillating body to complete one oscillation or cycle in mechanical vibrations.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 0.200022 Radian per Second --> 0.200022 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = 2*pi/ω --> 2*pi/0.200022

Evaluating ... ...

T = 31.4124711640699

STEP 3: Convert Result to Output's Unit

31.4124711640699 Second --> No Conversion Required

FINAL ANSWER

31.4124711640699 ≈ 31.41247 Second <-- Time Period of Oscillations

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion

LaTeX Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion

LaTeX Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)

Displacement of Body in Simple Harmonic Motion

LaTeX Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

LaTeX Go Acceleration = Angular Velocity^2*Displacement of Body

Period of Motion in Simple Harmonic Motion Formula

LaTeX Go

Time Period of Oscillations = 2*pi/Angular Velocity
T = 2*pi/ω

What is Simple Harmonic Motion?

Simple harmonic motion is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.

How to Calculate Period of Motion in Simple Harmonic Motion?

Period of Motion in Simple Harmonic Motion calculator uses Time Period of Oscillations = 2*pi/Angular Velocity to calculate the Time Period of Oscillations, Period of Motion in Simple Harmonic Motion formula is defined as the time taken by an object to complete one oscillation or cycle in a simple harmonic motion, which is a fundamental concept in mechanical vibrations, describing the repetitive back-and-forth motion of an object. Time Period of Oscillations is denoted by T symbol.

How to calculate Period of Motion in Simple Harmonic Motion using this online calculator? To use this online calculator for Period of Motion in Simple Harmonic Motion, enter Angular Velocity (ω) and hit the calculate button. Here is how the Period of Motion in Simple Harmonic Motion calculation can be explained with given input values -> 31.41247 = 2*pi/0.200022.

FAQ

What is Period of Motion in Simple Harmonic Motion?

Period of Motion in Simple Harmonic Motion formula is defined as the time taken by an object to complete one oscillation or cycle in a simple harmonic motion, which is a fundamental concept in mechanical vibrations, describing the repetitive back-and-forth motion of an object and is represented as T = 2*pi/ω or Time Period of Oscillations = 2*pi/Angular Velocity. Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

How to calculate Period of Motion in Simple Harmonic Motion?

Period of Motion in Simple Harmonic Motion formula is defined as the time taken by an object to complete one oscillation or cycle in a simple harmonic motion, which is a fundamental concept in mechanical vibrations, describing the repetitive back-and-forth motion of an object is calculated using Time Period of Oscillations = 2*pi/Angular Velocity. To calculate Period of Motion in Simple Harmonic Motion, you need Angular Velocity (ω). With our tool, you need to enter the respective value for Angular Velocity 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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