cancel
Showing results for
Did you mean:
cancel
Showing results for
Did you mean:

5-Regular Member

## Help getting this plotted correctly

I'm trying to incorporate a cycloid (standard, not epi-) into a design I'm working on. I tried to generate the appropriate curve using the equation from curve tool, but it only returned a very slight curve. I verified my equations using MATLAB. Pictures and equations are provided below:

x(t) = r(t-sin(t))

y(t) = r(1-cos(t))

where t is some angle and r is the radius of the rolling circle tracing the cycloid.

Any help would be greatly appreciated!

1 ACCEPTED SOLUTION

Accepted Solutions
20-Turquoise
(To:ML_7901575)

The problem is that the equations as you have them are assuming the angle being evaluated is in radians.

If you are inputting the angles in degrees (0 - 360), you'll get a very large "X" result.

To correct this, again assuming you are setting "t" to be 0 to 360 degrees, the equations should be:

``````x = 1 * ( pi * t / 180 - sin(t) )
y = 1 * ( 1 - cos(t) )``````

This seems to give the desired curve.

2 REPLIES 2
20-Turquoise
(To:ML_7901575)

The problem is that the equations as you have them are assuming the angle being evaluated is in radians.

If you are inputting the angles in degrees (0 - 360), you'll get a very large "X" result.

To correct this, again assuming you are setting "t" to be 0 to 360 degrees, the equations should be:

``````x = 1 * ( pi * t / 180 - sin(t) )
y = 1 * ( 1 - cos(t) )``````

This seems to give the desired curve.

23-Emerald V
(To:ML_7901575)

Hi,

if you set From = 0 and To = 360 for curve from equations then use following equations.

x=100*(t * PI() / 180 - sin(t))
y=100*(1-cos(t))
z=0

Creo uses angle values in degrees, because of this sin(t) and cos(t) is used.

t * PI() / 180 converts angle value to radians to satisfy cycloid definition.

Martin Hanák
Announcements
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8135672211647034, "perplexity": 1813.1172641193407}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-40/segments/1664030334987.39/warc/CC-MAIN-20220927033539-20220927063539-00239.warc.gz"}