Do Lab Report Graphs Need to Include the Origin Point?

AI Thread Summary
Graphing lab reports do not necessarily need to include the origin point (0,0) if the data does not support it. The discussion centers on plotting frequency against radius for a constant centripetal force, revealing an exponential relationship where frequency decreases as radius increases. The equation derived from the graphing software, y = 1.51x^0.4233, is acceptable, but the alternative equation y = 36.86x^-0.7429 more accurately reflects the observed downward trend. It is appropriate to express the relationship as y ∝ x^-0.7429, indicating that frequency is inversely proportional to radius. Overall, clarity in presenting the data and relationships is essential for effective communication in the lab report.
chroncile
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Homework Statement


I have to do a lab report on centripetal force, frequency and radius. My question is, does a graph have to show the (0,0) points? Also, I got an equation out of the graphing software for one of the graphs and it was y = 1.51x^0.4233, is it okay to use this equation or y = ax^b?


Homework Equations


y = ax^b
y = 1.51x0.4233


The Attempt at a Solution


None
 
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What are you plotting on the graph? Once the axes are labeled, you don't necessarily have to point out (0,0).
 
I'm plotting Frequency vs radius for a constant centripetal force. Also, the graph has an exponential relation; frequency is exponentially proportional to the radius. But, the graph is going downards, not upwards. So, how do I state the proportionality? Here is the equation:

y = 36.86 x^-0.7429
 
chroncile said:
I'm plotting Frequency vs radius for a constant centripetal force. Also, the graph has an exponential relation; frequency is exponentially proportional to the radius. But, the graph is going downards, not upwards. So, how do I state the proportionality? Here is the equation:

y = 36.86 x^-0.7429

36.86 is a constant so you can just say that y∝x-0.7429
 
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Table 2 shows that frequency decreases with radius. A plot of the frequency vs. radius from the data in Table 2 is drawn in Graph 2. The shape of this graph suggests that y ∝ x-0.7429. The software shows that the curve that best fits the data is given by y = 36.86 x-^0.7429.
 
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