Calculating Amplitude in Simple Harmonic Motion

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SUMMARY

The discussion focuses on calculating amplitude in Simple Harmonic Motion (SHM) using the formula for acceleration, a = -ω² * A * sin(ωt). Steve confirms that the amplitude A can be rearranged to A = a / (-ω² * sin(ωt)), provided that the denominator is not zero. This transformation is valid and requires knowledge of the parameters at a specific point in time to compute the amplitude accurately.

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  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with angular frequency (ω)
  • Knowledge of trigonometric functions, specifically sine
  • Basic algebra for rearranging equations
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Physics students, engineers, and anyone interested in the mathematical modeling of oscillatory systems will benefit from this discussion.

Steve12321
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Hello and thanks for you time.

Just a quicky :-)

For a free vibration impulse response, the acceleration a is given by:

a = -ω^2*Asin(ωt)

So am I right in saying that you can rearrnage to calculate the amplitude A as:

A = a/(-ω^2*sin(ωt))

Thanks,
Steve
 
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If the denominator is not zero, this is a valid transformation, sure.
To calculate the amplitude in that way, you need all those parameters for some point in time.
 
OK - thanks very much.
 

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