Determining Damping Constant k From Data

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AI Thread Summary
To determine the damping constant k from the data of a damped pendulum, the user has plotted a graph of amplitude versus turns, which shows an exponential decrease. The theoretical k value calculated is 0.22456, but the user is unsure how to extract this value from the graph. A suggestion is made to transform the y-axis to ln(A_0/A) to linearize the data, which could help in determining k more easily. The user seeks clarification on this method and expresses anxiety about participating in the forum. Understanding how to manipulate the graph is crucial for comparing theoretical and experimental values of k.
Talz1994
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Homework Statement


i had an investigation
use your data to find the value of k, compare this theoretical number with your data.
- plot a suitable graph so that you can determine k.

Homework Equations


A= A_0e^(-kn)
A_0 initial amplitude = 1

The Attempt at a Solution


hey I am new to the forum and yeh here my question. well i was given the homework getting a set of readings of a damped pendulum bob. i got the readings took an average and then i managed to plot a graph of those readings. i did so and i managed to get a graph which decreases exponentially. now i want to compare my therotical damping constant with my data and i have come stuck.
the y-axis is amplitude, "A" and the x-axis "n" turns

my k value theoretically is 0.22456, but i don't know how to find it from my graph.
should i change my y-axis to ln(A_0/A) that's how one of my friend did it but i don't get it.

sorry for poor english, its my second language, first time using forum. and i tried to follow the rules... :/
 
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