I was wondering if you'd be able to help me with this. As of now, I only have a very, very basic understanding of physics. I took it in middle school and now I am being forced to take it again in high school.
This question relates to an assignment I was given in class that I do not understand. I do not expect you to solve this problem for me, but I would like to know if the formulas that I am using are correct, and if I am indeed going in the right direction, because, quite frankly, I can't understand half of the things my teacher says.
4π^2(L/T^2)= g
This is the equation we are dealing with. We're supposed to find what g is. L and T are variables we found by performing an experiment where we swung a pendulum. There are four separate numbers representing L (four lengths of the pendulum) and four numbers representing T that go along with each of the four Ls.
He told us to make two scatter plots, one with L along the y axis and T along the x axis, and one with L along the y axis and T^2 along the x axis. He then told us to draw lines to make them into graphs. He told me that the graph that went (T^2, L) should be a linear function and that the graph with the points (T, L) should be some kind of curved line. I don't know if this is true though, because he didn't seem to be paying attention when I asked him this...
Any way, to solve it via the analytical method, I plugged in an L and a corresponding T. I got an answer for g that was 9.04m/s^2. That doesn't sound right, but it doesn't sound horribly wrong, either.
To solve it via the graphical method, he told us we needed to find the slope of the line of the linear equation with the points (T^2, L). But thing is, I'm not sure where the slope comes into play when solving this problem. Does it replace the T^2 of 4π^2(L/T^2)= g or does it replace the whole L/T^2? Where does this variable go? I'm not sure exactly...I tried putting it in in the place of L/T^2, leaving me with 4π^2(slope)= g. The answer I got for putting it in was 11.05m/s^2. This is very different from the 9.04m/s^2 I got earlier, but it is the closest number that I was able to find...I adjusted the slope of me line multiple times using multiple methods but this was generally the result.
When doing this experiment, is it reasonable to find this kind of the difference in answers between the analytical and graphical methods? What do you think I am doing wrong?
2007-10-27
14:55:57
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1 answers
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asked by
Anonymous