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The meteorological wind direction is the direction from which the wind is blowing.

Wind direction increases clockwise such that a northerly wind is 0°, an easterly wind is 90°, a southerly wind is 180°, and a westerly wind is 270°.
Because trigonometry uses a polar coordinate system in which 0° is along the x axis, the meteorological angle definition can wreak havoc on typical angle calculations.
Fortunately, it is still easy to compute the wind components, u and v, given the meteorological wind angle. Let Φ be the meteorological wind direction angle, then the following equations can be applied:






Note that Φ must be in radians. If Φ is in degrees, multiply the angle by π/180 before using the trig function.

It is also possible to compute Φ from u and v using the atan2 function. The atan2 arguments vary by type of software.
On a spreadsheet, use the following equation to get an answer in degrees:

However, in many other applications the arguments v, u are switched around.

This document has been produced in the context of the Copernicus Climate Change Service (C3S).
The activities leading to these results have been contracted by the European Centre for Medium-Range Weather Forecasts, operator of C3S on behalf of the European Union (Delegation agreement signed on 11/11/2014). All information in this document is provided "as is" and no guarantee or warranty is given that the information is fit for any particular purpose.
The user thereof uses the information at its sole risk and liability. For the avoidance of all doubts, the European Commission and the European Centre for Medium-Range Weather Forecasts has no liability in respect of this document, which is merely representing the authors view.



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