*SIMPLE slope question on graphic - Units?

AI Thread Summary
The discussion centers on determining the units of the slope from a log graph where the x-axis represents diameter in centimeters and the y-axis represents period in seconds. Participants clarify that logarithmic scales are dimensionless, meaning the log of any value does not carry units. Consequently, the slope, calculated from a log graph, would be expressed in seconds per centimeter (s/cm). The conversation emphasizes the importance of understanding the nature of logarithmic axes in interpreting graph data correctly. Understanding these concepts is crucial for accurate analysis in scientific contexts.
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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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