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courses:phy101l:4 [2023/07/29 21:23] – [1. Introduction] asad | courses:phy101l:4 [2023/11/05 02:37] (current) – [1. Introduction] asad | ||
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====== 4. Spring constant from extension and period ====== | ====== 4. Spring constant from extension and period ====== | ||
[[https:// | [[https:// | ||
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===== - Introduction ===== | ===== - Introduction ===== | ||
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$$ k = g\frac{m}{l}. $$ | $$ k = g\frac{m}{l}. $$ | ||
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+ | $$ l = \frac{g}{k}m + 0 $$ | ||
For the second method, you will use the relation between period and mass | For the second method, you will use the relation between period and mass | ||
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$$ k' = 4\pi^2 \frac{m}{T^2}. $$ | $$ k' = 4\pi^2 \frac{m}{T^2}. $$ | ||
- | The values | + | $$ T^2 = \frac{4\pi^2}{k'} m + 0 $$ |
+ | The values $k$ and $k'$ should be very similar because they are both the spring constant of the same spring. | ||
===== - Method and data ===== | ===== - Method and data ===== | ||
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===== - Discussion and conclusion ===== | ===== - Discussion and conclusion ===== | ||
+ | - Why are $k$ and $k'$ different? | ||
+ | - Which one is greater, $\delta k$ or $\delta k'$? Why? | ||
+ | - In which method we have higher fitting error? |
courses/phy101l/4.1690687400.txt.gz · Last modified: 2023/07/29 21:23 by asad