Can YOU find the offset of this circle? Math Puzzle
Автор: Virtually Passed
Загружено: 2021-12-11
Просмотров: 4608
Can you find the offset of the circle using length data from the offset to the edge?
My first MANIM assisted video :)
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Timestamps:
0:00 - Question
0:59 - Find L
2:54 - Lmin & Lmax
4:14 - Solve for x0 & y0
5:54 - Outro
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MATLAB verification code:
clc; clear all; close all;
x0 = 0
y0 = 2
R = 2;
t = linspace(0,2*pi,1000);
L = sqrt(x0^2+y0^2+R^2-2*R*(x0*cos(t)+y0*sin(t)));
[Lmax, Imax] = max(L);
[Lmin, Imin] = min(L);
tmin = t(Imin);
plot(t,L)
x0_measure = 0.5*(Lmax-Lmin)*cos(tmin)
y0_measure = 0.5*(Lmax-Lmin)*sin(tmin)
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Music:
Music by Vincent Rubinetti
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https://vincerubinetti.bandcamp.com/a...
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