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At the end of chapter six they have a graph of n (harmonic number) vs Length of a pipe. One pipe (pipe a) has a steeper slope than pipe b they both have the same length. I.E. pipe a's harmonic number 👎 increases faster than its length.
The question asks what could explain this:
a) Velocity is greater in pipe a than b
b) Velocity is smaller in pipe a than b.
Explanation given in book:
B, since n=(Fn)(L)/V velocity must be smaller in pipe a to decrease the slope. Is this a mistake?
If velocity increases it increases the numerator (Fn=nV/L) Since the numerator increases as velocity increases, the pipe with the steeper slope should be the pipe with the greater velocity. Am I right here? The larger the slope the steeper the line?
The question asks what could explain this:
a) Velocity is greater in pipe a than b
b) Velocity is smaller in pipe a than b.
Explanation given in book:
B, since n=(Fn)(L)/V velocity must be smaller in pipe a to decrease the slope. Is this a mistake?
If velocity increases it increases the numerator (Fn=nV/L) Since the numerator increases as velocity increases, the pipe with the steeper slope should be the pipe with the greater velocity. Am I right here? The larger the slope the steeper the line?