(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Marie observes damped oscillations of a glider on an air track. She observed that the amplitude decreased to 50% of its original value after 10 seconds. What is the decay constant for the motion of the glider?

2. Relevant equations

3. The attempt at a solution

It seems the equation including the decay constant (involving the displacement, amplitude, angular frequency, and time) seems a little overcomplicated, considering the information given for this particular example.

However, I do know that if the motion of the damped glider is plotted, then the decay constant τ can be derived from the equation τ = -log e/slope. From the information given, I know that the graph will be of an exponential function, but how do I know what the slope of it would be given a 50% reduction in 10 seconds? Please help!

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# Homework Help: Damped Oscillations?

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