Calculating amplitude after 50 oscillations

AI Thread Summary
To calculate the amplitude after 50 oscillations of an oscillator with an initial amplitude of 6.40 cm and a 2.50% decrease per oscillation, the formula A = Ai * k^n can be used, where k represents the remaining percentage of amplitude after one oscillation (0.975) and n is the number of oscillations (50). The confusion arises from understanding the exponential decay of amplitude, which can be expressed as A = 6.40 * (0.975^50). This approach clarifies how to derive the final amplitude based on the initial value and the decay factor. The correct application of this formula will yield the amplitude after 50 oscillations.
marshall104
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Homework Statement



An oscillator with a mass of 600 g and a period of 1.20 s has an amplitude that decreases by 2.50% during each complete oscillation. If the initial amplitude is 6.40 cm, what will be the amplitude after 50.0 oscillations?


Homework Equations



How do I approach this problem. I am so confused

Ive been using xmax=Ae(-t/2x)

with no luck. any help would be great



The Attempt at a Solution



m=600g
T=1.2s
amplitude decreases by 2.5%
I think my problem is I don't understand were xmax is coming from or even how to find it. A hint is great!

Thanks.
 
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