Do Lab Report Graphs Need to Include the Origin Point?

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Homework Help Overview

The discussion revolves around the requirements for graphing data in a lab report related to centripetal force, specifically addressing whether the origin point (0,0) must be included in the graphs and the appropriateness of using certain equations derived from graphing software.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the necessity of including the origin in graphs and discuss the relationship between frequency and radius, noting an exponential relationship where frequency decreases as radius increases.

Discussion Status

Some participants have provided guidance on how to express the relationship between frequency and radius, suggesting ways to articulate the proportionality without needing to include the origin point. Multiple interpretations of the graphing requirements are being explored.

Contextual Notes

There is an emphasis on the nature of the relationship being plotted, with specific equations mentioned that relate to the data being analyzed. The discussion also reflects on the implications of the graph's downward trend.

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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