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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: ()=cos⁡(−), where H is the amplitude, is the speed of rotation, t is the time elapsed and 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

Claire
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  • Worth checking up on... is this a homework question (or where are you getting the data, may be of interest to people, if not) – JeopardyTempest Nov 10 '22 at 18:58
  • 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) – JeopardyTempest Nov 10 '22 at 18:59
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    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 – Claire Nov 18 '22 at 15:04
  • 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 – JeopardyTempest Nov 19 '22 at 04:58

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