What is the Damping Coefficient in a Pendulum's Dampened Oscillation?

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The discussion focuses on calculating the damping coefficient for a pendulum experiencing damped oscillations. A pendulum of length 1.00 m, initially released at 15.0°, has its amplitude reduced to 5.5° after 1200 seconds due to friction. The relevant formula involves the relationship between the initial angular frequency and the damping coefficient, expressed as w = sqrt(W0^2 - (b/2m)^2). Participants clarify the correct approach and formulas needed for the calculation. The thread ultimately resolves the confusion regarding the appropriate formula to use for the problem.
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[SOLVED] Dampened Oscillations Problem

A pendulum of length 1.00 m is released from an initial angle of 15.0°. After 1200 s, its amplitude is reduced by friction to 5.5°. What is the value of b/2m?

How do you do this one? I know it has something to do with the formula w= sqrt(W0^2 - (b/2m)^2). I tried plugging in sqrt(g/L) for W0, but I don't know what to use for the first w.
 
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Never mind. It turns out I was using the wrong formula.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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