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Shrek Was My Idea
Can't wrap my head around Cartesian to Polar?
Hello! I'd preface this by saying that I understand the concepts of cartesian and polar coordinates, but I am experiencing a major brain fart with regards to converting cartesian velocities to polar in relation to velocity fields.
I have attached an image from a video I was watching. What my brain is refusing to understand is how this can be the case.
Surely the i component of r is r*cos(theta). But here the video says that the i component multiplied by cos(theta) is the i component of x.
Something is just not clicking in my brain, and I'm sure it's completely obvious but nevertheless I am very confused.
For context, I am trying to derrive the polar forms of potential functions for a fluid velocity field. But this relies on me understanding that Vr = u*cos(theta), and not the other way around.
Can anyone maths my brain into order? Thanks.
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