Lab: Conical Pendulum - Understanding A & Unit

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SUMMARY

The discussion centers on the relationship between the period (T) and the length (L) of a conical pendulum, expressed mathematically as T = A√L. The value A represents a constant with the unit of time multiplied by the inverse square root of length, specifically [A] = time × length-1/2. Participants clarify the dimensions of A and provide guidance on using proper mathematical notation in forum discussions.

PREREQUISITES
  • Understanding of basic physics concepts, particularly pendulum motion.
  • Familiarity with mathematical notation and dimensional analysis.
  • Knowledge of graphing relationships between variables.
  • Experience with online forum etiquette and formatting, especially using math tags.
NEXT STEPS
  • Research the mathematical derivation of the period of a conical pendulum.
  • Explore dimensional analysis techniques in physics.
  • Learn about the differences between simple and conical pendulums.
  • Investigate the use of LaTeX for formatting mathematical expressions in online discussions.
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Students in physics courses, educators teaching pendulum dynamics, and anyone interested in the mathematical modeling of physical systems.

Helenah
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Moved from a technical forum, so homework template missing
So I'm doing a lab in class, and when I graphed the Period vs Length of the string, I got it in the form $T=A\sqrt{L}$, but I don't really know what the value $A$ represents nor what its unit is... Can someone help me?
 
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Hello Helenah, :welcome:
Helenah said:
So I'm doing a lab in class, and when I graphed the Period vs Length of the string, I got it in the form $T=A\sqrt{L}$, but I don't really know what the value $A$ represents nor what its unit is... Can someone help me?
Would you know the answer for a simple pendulum ?

T is time, L is length, so for your A you have [A] = ##\rm {time} \; {length}^{-{1\over 2}} ##

( So what is the dimenson of 1/A2 ? )And: in PF you get in-line math using the tags ## and displayed math using the tags $$
instead of a single $ sign.
 

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