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QuestionRe: Well, that's two strikes Pin
lopatir3-Feb-20 2:46
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Questionmaths question Pin
Joan M2-Feb-20 23:38
professionalJoan M2-Feb-20 23:38 
Hi all,

I need help in a math issue:

Let's say I have 3 measuring devices which give me a distance.
Mechanically those 3 sensors are mounted more or less in the right position, but we can't be sure of the angle neither position the measuring devices are mounted.
I have 3 Mastering parts (3 circumferences of a known radius) that I can mount into the machine at any moment and that I want to use to calibrate the system.
The measuring error of the 3 measuring devices can be dismissed.

this is a small diagram to represent the problem: https://i.stack.imgur.com/a2AyG.png[^]

2 known master circumferences give me a distance [d1] between circumferences (d1 = radius 1 - radius 2).
For each circumference the sensor will give me a different measure m1 and m2.

Given the difference between r1-r2 and m2-m1 could I find the angle in which the measuring device is mounted?

Summarizing:
2 master circumferences mounted in the same center.
3 external measuring devices mounted completely unaligned with the center.
I don't know the measuring devices position.
The red lines in the drawing are the vector lines the measuring device measures would be placed into.
The real measures (in this drawing) would be the distance from the sensor to the position where the red line crosses a circle.

Any help will be welcome...

Thank you all...

modified 3-Feb-20 10:43am.

AnswerRe: maths question Pin
Richard MacCutchan3-Feb-20 0:06
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