Hooke's Law / Young's Modulus
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K = 4 x 3.14 x 3.14 x mass = 39.4384 x mass T T
39.4384 x 0.1 = 27.456 0.143641
39.4384 x 0.2 = 26.361 0.299209
39.4384 x 0.3 = 28.176 0.419904
39.4384 x 0.4 = 27.456 0.574564
39.4384 x 0.5 = 27.551 0.715716 I will now take an average result from these results
All added = 137 = 27.4 = 27.4 N/m 5
Compared with the Hookes Law result (28.7769) is quite close I shall now calculate the percentage of deviation between the two sets of results. 28.7769 - 27.4 = 1.3769 = 0.047 x 100 = 4.7 28.7769
The difference between the two sets of results is 4.7 %
From my results from both experiments I can see that as load increases so does extension of a spring. This extension is measured in N/m (Newtons per Metre) the figure for this is the amount of Newtons that would have to be added to the spring in order for it to have an extension of 1metre. The spring constant that my experiments gave were 28.7769 N/m for the Hookes Law test and 27.4 N/m for the simple harmonic motion test. These findings are quite close with a 4.7% deviation between the two. The principle of Hookes Law can be seen in a graph of spring extension.
1. At this point the limit of proportionality has been reached this is where hookes law is no longer ...
