Radius and centre of curvature

Question

Subramani Nagaraj 2021-1-18

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/720170-radius-and-centre-of-curvature

评论： Image Analyst 2023-1-29

20210118_212735.jpg

Can anyone say

why it is showing inf as output as shown in the screenshot attached, when I ask radius and centre of curvature for sqrt(X)+sqrt(y)==sqrt(a),when x = 3???

Why it is not showing a numerical value???

Kindly solve this problem.

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KALYAN ACHARJYA 2021-1-18

Maybe you forgot to attach the screenshot?

Subramani Nagaraj 2021-1-19

编辑：Subramani Nagaraj 2021-1-19

Sorry sir I thought I had attached the screenshot. Now I had attached it.

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Answer 1

Divija Aleti 2021-1-25

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https://ww2.mathworks.cn/matlabcentral/answers/720170-radius-and-centre-of-curvature#answer_605673

在 MATLAB Online 中打开

Hi Nagaraj,

You will have to first change your equation to the form of y = f(x) and then use the formulae to find the radius and center of curvature. The code is given below for your reference:

syms y(x) a
y(x) = (sqrt(a)-sqrt(x))^2; % Re-arranged the equation
x1 = 3;
c1 = x - (diff(y,x)*(1+(diff(y,x))^2))/diff(y,x,2);
c1 = c1(x1) % Found x-coordinate of center of curvature
y1 = y(x1);
c2 = y + (1+(diff(y,x))^2)/diff(y,x,2);
c2 = c2(y1) % Found y-coordinate of center of curvature
Center = [c1,c2];
Point = [x1,y1];
Radius = ((x1-c1)^2 + (y1-c2)^2) % Distance between the point and the center gives radius of curvature

For additional information on the 'diff' function, refer to the following link:

Differentiate symbolic expression or function - MATLAB diff (mathworks.com)

Regards,

Divija

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Image Analyst 2023-1-28

@Divya:

If you have any more questions, then attach your data and code to read it in with the paperclip icon, in a new question, after you read this:

TUTORIAL: How to ask a question (on Answers) and get a fast answer

You can give a link in your question to this question.

Image Analyst 2023-1-29

@Divya I think you ignored my last comment totally. Let me give instructions step by step.

Read TUTORIAL: How to ask a question (on Answers) and get a fast answer
Click on the Ask link above (right under the blue MATLAB Answers banner) and fill out the form to post a totally new question (not here).
In the edit box, click the paperclip icon and attach your .m file, and any data files that need to be read in.
Click the "Post Question" button to submit your question. Then it will appear on the list.

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