Cylindrical Coordinates

Cylindrical Coordinates - Cylindrical Coordinates As with...

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As with two dimensional space the standard coordinate system is called the Cartesian coordinate system. In the last two sections of this chapter we’ll be looking at some alternate coordinates systems for three dimensional space. We’ll start off with the cylindrical coordinate system. This one is fairly simple as it is nothing more than an extension of polar coordinates into three dimensions. Not only is it an extension of polar coordinates, but we extend it into the third dimension just as we extend Cartesian coordinates into the third dimension. All that we do is add a z on as the third coordinate. The r and θ are the same as with polar coordinates. Here is a sketch of a point in . The conversions for x and y are the same conversions that we used back in when we were looking at polar coordinates. So, if we have a point in cylindrical coordinates the Cartesian coordinates can be found by using the following conversions. The third equation is just an acknowledgement that the
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Cylindrical Coordinates - Cylindrical Coordinates As with...

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