Earlier this year, the 10 year old known as Tawnse in these pages, and I went on a camping trip. On our way back, I came across literal found footage of strange lights in the sky that I hadn't realized we recorded. The kid and I figured out what it was, but it took a QRP ham radio to make the call. I wrote up the whole story in an article at DesignNews.
Now available as a Kindle ebook for 99 cents ! Get a spiffy ebook, and fund more physics The following is a pretty lengthy procedure, but converting the divergence, (nabla, del) operator between coordinate systems comes up pretty often. While there are tables for converting between common coordinate systems , there seem to be fewer explanations of the procedure for deriving the conversion, so here goes! What do we actually want? To convert the Cartesian nabla to the nabla for another coordinate system, say… cylindrical coordinates. What we’ll need: 1. The Cartesian Nabla: 2. A set of equations relating the Cartesian coordinates to cylindrical coordinates: 3. A set of equations relating the Cartesian basis vectors to the basis vectors of the new coordinate system: How to do it: Use the chain rule for differentiation to convert the derivatives with respect to the Cartesian variables to derivatives with respect to the cylindrical variables. The chain ...
Comments
Post a Comment
Please leave your comments on this topic: