Plotting Root Mean Square Calculations with Radians

In summary, the conversation involved discussing the use of formulas in a graph calculator to plot various functions using radians. The suggested functions included Y1 = (sin(X)^2)^(1/2), Y2 = (tan(X)^2)^(1/2), and Y3 = (tan(X)^3)^(1/3), with the suggested axis range of 0<x<2(pi) and 0<y<2(pi). The conversation also included sharing of other interesting graphs, such as Y1=(4 sin (1/2 x^2))^(1/2), Y2=(8tan (1/8 x^2))^(1/2), and Y3=.3-(4sin (1/
  • #1
echoSwe
39
0
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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  • #2
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.
 
  • #3
how bout these:
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html
 
  • #4
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.
 

What is root mean square (RMS) calculation?

Root mean square (RMS) calculation is a statistical method used to determine the average or effective value of a set of data points. It is commonly used in signal processing and mathematics to analyze the magnitude and variability of a data set.

Why is it important to plot RMS calculations with radians?

Radians are a unit of measurement commonly used in trigonometry and calculus. When plotting RMS calculations, using radians allows for a more accurate representation of the data and ensures that the calculations are consistent with mathematical principles.

How is the RMS value calculated with radians?

The RMS value with radians is calculated by taking the square root of the mean of the squared values of a set of data points. This means that each data point is first squared, then the mean of those squared values is taken, and finally, the square root of that mean is calculated.

What are some potential applications for plotting RMS calculations with radians?

Plotting RMS calculations with radians can be useful in various fields such as engineering, physics, and finance. It can be used to analyze and compare the magnitude and variability of data sets, as well as to calculate the effective value of signals in electronic circuits and systems.

Are there any limitations to using radians in RMS calculations?

One limitation is that radians may not be a familiar unit of measurement for some individuals, which can make it challenging to interpret the plotted data. Additionally, if the data set contains extreme values, the use of radians may result in a skewed representation of the data. In such cases, it may be more appropriate to use another unit of measurement or to normalize the data before calculating the RMS value.

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