Amplitude given Position Solution

STEP 0: Pre-Calculation Summary
Formula Used
Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
A = (sin(ω*tp+θ))/X
This formula uses 1 Functions, 5 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Amplitude - (Measured in Meter) - Amplitude is a measure of its change over a single period.
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.
Phase Angle - (Measured in Radian) - Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.
Position of a particle - Position of a particle is the phase of a vibrating particle at any instant is the state of the vibrating particle regarding its displacement and direction of vibration at that particular instant.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)
Time Period SHM: 0.6 Second --> 0.6 Second No Conversion Required
Phase Angle: 8 Degree --> 0.13962634015952 Radian (Check conversion here)
Position of a particle: 1.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (sin(ω*tp+θ))/X --> (sin(10.28*0.6+0.13962634015952))/1.4
Evaluating ... ...
A = 0.0174561426333536
STEP 3: Convert Result to Output's Unit
0.0174561426333536 Meter --> No Conversion Required
FINAL ANSWER
0.0174561426333536 0.017456 Meter <-- Amplitude
(Calculation completed in 00.020 seconds)

Credits

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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3 Empirical Constant's for SHM Calculators

Amplitude given Position
Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
Constant K given Restoring Force
Go Spring Constant = -Restoring Force/Distance Traveled
Constant K given Angular Frequency
Go Spring Constant = Angular Frequency^2*Mass

Amplitude given Position Formula

Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
A = (sin(ω*tp+θ))/X

What is 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 Amplitude given Position?

Amplitude given Position calculator uses Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle to calculate the Amplitude, The Amplitude given Position given position formula is defined as the phase of a vibrating particle at any instant is the state of the vibrating (or) oscillating particle regarding its displacement and direction of vibration at that particular instant. Amplitude is denoted by A symbol.

How to calculate Amplitude given Position using this online calculator? To use this online calculator for Amplitude given Position, enter Angular Frequency (ω), Time Period SHM (tp), Phase Angle (θ) & Position of a particle (X) and hit the calculate button. Here is how the Amplitude given Position calculation can be explained with given input values -> 0.017456 = (sin(10.28*0.6+0.13962634015952))/1.4.

FAQ

What is Amplitude given Position?
The Amplitude given Position given position formula is defined as the phase of a vibrating particle at any instant is the state of the vibrating (or) oscillating particle regarding its displacement and direction of vibration at that particular instant and is represented as A = (sin(ω*tp+θ))/X or Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle. Angular Frequency of a steadily recurring phenomenon expressed in radians per second, Time Period SHM is time required for the periodic motion, Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees & Position of a particle is the phase of a vibrating particle at any instant is the state of the vibrating particle regarding its displacement and direction of vibration at that particular instant.
How to calculate Amplitude given Position?
The Amplitude given Position given position formula is defined as the phase of a vibrating particle at any instant is the state of the vibrating (or) oscillating particle regarding its displacement and direction of vibration at that particular instant is calculated using Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle. To calculate Amplitude given Position, you need Angular Frequency (ω), Time Period SHM (tp), Phase Angle (θ) & Position of a particle (X). With our tool, you need to enter the respective value for Angular Frequency, Time Period SHM, Phase Angle & Position of a particle 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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