*SIMPLE slope question on graphic - Units?

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Homework Help Overview

The discussion revolves around understanding the units of the slope derived from a log graph where the x-axis represents diameter in centimeters and the y-axis represents period in seconds.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the implications of using a logarithmic scale and questioning the dimensionality of the axes. There is a specific inquiry about the units of the slope, with one participant suggesting "s/cm" as a potential answer.

Discussion Status

Some participants are providing insights into the nature of logarithmic scales, indicating that logarithms are dimensionless. This has led to further questioning about which axis is logarithmic and how that affects the interpretation of units.

Contextual Notes

There is an ongoing uncertainty regarding the specific logarithmic nature of the axes and how that influences the calculation of slope units. Participants are also navigating the etiquette of forum engagement, as indicated by a comment on response time.

nukeman
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Homework Statement



I just want to be 100% sure I got this correct.

I have a log graph, and along the x-axis I have diameter (in cm's) and up the y-axis I have period (in seconds).

I had to get the slope, which I got, but what are the units of the slope?

s/cm ?



Homework Equations





The Attempt at a Solution

 
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nukeman said:
anyone?
Let's see ... you waited 2 hours and 32 minutes before bumping. That's about 21 hours and 28 minutes short of what's required.
 
nukeman said:

Homework Statement



I just want to be 100% sure I got this correct.

I have a log graph, and along the x-axis I have diameter (in cm's) and up the y-axis I have period (in seconds).

I had to get the slope, which I got, but what are the units of the slope?

s/cm ?

Homework Equations



The Attempt at a Solution

Which axis is a logarithm? ... or are both?
 
hi nukeman! :smile:

a log is always dimensionless

even when it looks as if it's eg log(time), it's really log(time/time0)…

dimensionless! :wink:

so the logx (or is it logy?) axis has no units :smile:
 

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