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I want to determine the height of a sine wave for some tidal constituents for which I would use the following equation: ๐‘Œ(๐‘ก)=๐ปcosโก(๐œ”๐‘กโˆ’๐œ™), where H is the amplitude, ๐œ” is the speed of rotation, t is the time elapsed and ๐œ™ is the phase lag. If I have got the following data for a site, how do I determine the phase lag so that I can calculate Y(t).

Constituent M2, Amplitude 3.18, Degrees per hour 28.984, Radians per hour 0.5058, Phase degree 173

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  • $\begingroup$ Worth checking up on... is this a homework question (or where are you getting the data, may be of interest to people, if not) $\endgroup$ Nov 10, 2022 at 18:58
  • $\begingroup$ And are you needing to produce the entire time function of height, or just the "height of the sine wave" (which isn't as involved at all) $\endgroup$ Nov 10, 2022 at 18:59
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    $\begingroup$ It is from a paper Swansea Bay Tidal Lagoon Annual Energy Estimation by Petley and Aggidis. I was just wanting to work out the height of the sine wave to then use in energy estimates with coding $\endgroup$
    – Claire
    Nov 18, 2022 at 15:04
  • $\begingroup$ So more than just the peak height (which is of course the amplitude) I take it! (Hopefully you can understand why I had a wonder if it was a homework question, many times in undergrad they'd ask questions like that, wanting the max height, and giving a fairly involved trig function, and people would get lost trying to compute it all , when it's right there given by the amplitude). But sorry, have no more clue than that, upvoted, as it's an interesting looking question $\endgroup$ Nov 19, 2022 at 4:58

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