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) - The Time Period of Oscillations is the time taken by a complete cycle of the wave to pass a point.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity 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: 0.2 Radian per Second --> 0.2 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = 2*pi/ω --> 2*pi/0.2
Evaluating ... ...
T = 31.4159265358979
STEP 3: Convert Result to Output's Unit
31.4159265358979 Second --> No Conversion Required
FINAL ANSWER
31.4159265358979 31.41593 Second <-- Time Period of Oscillations
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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14 Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion
Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)
Magnitude of Acceleration of Body in Simple Harmonic Motion
Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)
Work Done by Harmonic Force
Go Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference)
Displacement of Body in Simple Harmonic Motion
Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)
Frequency given Spring Constant and Mass
Go Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring)
Angular Frequency
Go Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring)
Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion
Go Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude
Maximum Velocity of Body in Simple Harmonic Motion
Go Maximum Velocity = Angular Velocity*Vibrational Amplitude
Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement
Go Acceleration = Angular Velocity^2*Displacement of Body
Period of Motion in Simple Harmonic Motion
Go Time Period of Oscillations = 2*pi/Angular Velocity
Damping Force
Go Damping Force = Damping Coefficient*Velocity of Body
Inertia Force
Go Inertia Force = Mass Attached to Spring*Acceleration
Spring Force
Go Spring Force = Spring Stiffness*Displacement of Body
Angular Frequency given Time Period of Motion
Go Angular Frequency = 2*pi/Time Period SHM

Period of Motion in Simple Harmonic Motion Formula

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, The Period of motion in simple harmonic motion formula is defined as two times pi multiplied to reciprocal of angular velocity. 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 -> 31.41593 = 2*pi/0.2.

FAQ

What is Period of Motion in Simple Harmonic Motion?
The Period of motion in simple harmonic motion formula is defined as two times pi multiplied to reciprocal of angular velocity and is represented as T = 2*pi/ω or Time Period of Oscillations = 2*pi/Angular Velocity. The Angular Velocity 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 Period of Motion in Simple Harmonic Motion?
The Period of motion in simple harmonic motion formula is defined as two times pi multiplied to reciprocal of angular velocity 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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