Plotting Root Mean Square Calculations with Radians

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Discussion Overview

The discussion revolves around plotting root mean square calculations using radians, specifically focusing on various mathematical functions and their graphical representations. Participants share their formulas and graphs, exploring the visual aspects of these calculations in the context of physics and mathematics.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant shares formulas for root mean square calculations: Y1 = (sin(X)^2)^(1/2), Y2 = (tan(X)^2)^(1/2), Y3 = (tan(X)^3)^(1/3), suggesting a range for X and Y axes.
  • Another participant proposes different formulas: Y1=(4 sin (1/2 x^2))^(1/2), Y2=(8tan (1/8 x^2))^(1/2), Y3=.3-(4sin (1/2 x^2))^(1/2), indicating that these still require refinement.
  • Participants share links to external resources that contain interesting curves related to the topic, with one noting a specific curve referred to as an asteroid, which was described as looking like a diamond by someone else.

Areas of Agreement / Disagreement

There is no clear consensus on the best formulas or graphical representations, as participants present different approaches and express varying levels of satisfaction with their results.

Contextual Notes

Some formulas may depend on specific interpretations of root mean square calculations, and the graphical outputs may vary based on the chosen parameters and functions.

Who May Find This Useful

Individuals interested in mathematical graphing, physics applications of root mean square calculations, or those exploring the visual representation of mathematical functions may find this discussion relevant.

echoSwe
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I tried some formulas on my graph calculator after reading about root mean square calculations of power and physics.
Plot these using radians:
Y1 = (sin(X)^2)^(1/2)
Y2 = (tan(X)^2)^(1/2)
Y3 = (tan(X)^3)^(1/3)

Axis:
0<x<2(pi)
0<y<2(pi)
or zoom to fit!

kinda cool huh!

Has anyone else got any nice graphs to share?
 
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Y1=(4 sin (1/2 x^2))^(1/2)
Y2=(8tan (1/8 x^2))^(1/2)
Y3=.3-(4sin (1/2 x^2))^(1/2)

is okay, but still needs work.
 
how bout these:
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html
 
fourier jr said:
how bout these:
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html

I remember looking at those. The asteroid on there is quite interesting. I showed it to somebody and she said it was a diamond.
 

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