How Does Amplitude Change After Multiple Oscillations?

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SUMMARY

The discussion focuses on calculating the amplitude of an oscillator after multiple oscillations, specifically after 38 oscillations. The oscillator has a mass of 500 g and a period of 0.300 s, with an initial amplitude of 11.4 cm that decreases by 1.40% with each complete oscillation. After performing the calculations, the final amplitude can be determined using the formula for exponential decay, resulting in a significantly reduced amplitude after the specified number of oscillations.

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  • Knowledge of exponential decay and percentage decrease calculations
  • Familiarity with basic physics concepts related to mass and period
  • Ability to perform calculations involving multiple iterations of decay
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yo_man
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Homework Statement


An oscillator with a mass of 500 g and a period of 0.300 s has an amplitude that decreases by 1.40% during each complete oscillation.
If the initial amplitude is 11.4 cm, what will be the amplitude after 38.0 oscillations?
 
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yo_man said:

Homework Statement


An oscillator with a mass of 500 g and a period of 0.300 s has an amplitude that decreases by 1.40% during each complete oscillation.
If the initial amplitude is 11.4 cm, what will be the amplitude after 38.0 oscillations?

You are going to have to show some work before I or (hopefully) anyone else will help you.

Take a step back from the problem and read it carefully. I believe you'll be able to shed some light on this situation yourself.
 

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