(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Stuck on damped pendulum question...

1. The problem statement, all variables and given/known data

A pendulum of length 1.00m is released at an angle of 15.0 degrees. After 1000 seconds, it's amplitude is decreased to 5.50 degrees due to friction. What is the value of [tex]b/2m[/tex]?

2. Relevant equations

w = [tex]\sqrt{w_{0}^{2} - (b/2m)^{2}}[/tex]

x(t) = Asin(wt)

[tex]w_{0} = \sqrt{g/L}[/tex]

3. The attempt at a solution

I have attempted this problem from a few angles, but I don't think I'm on the right track. I am assuming that I must treat the pendulum as a simple harmonic oscillator, making the original amplitude [tex]\Pi[/tex]

/12, and the amplitude after 1000s [tex]\Pi[/tex]/32.2. I am just not sure what to do next.

Any help is appreciated, I have a feeling I might be making this a little harder than it has to be, the answer is 1.00 * 10^-3 s^-1

EDIT

I am starting to think I can just get away with using the equation x = Ae[tex]^-(b/2m)t[/tex], but it still seems like I do not have enough information to answer this problem yet....

Thanks

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# Homework Help: Stuck on damped pendulum question

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