Can anyone help explain how to convert velocities to different co ordinate systems? I've always been shocking at converting between co ordinate systems as it is.(adsbygoogle = window.adsbygoogle || []).push({});

I know that converting from Cartesian to Cylindrical for positions it is:

r = sqrt(x^2 + y^2)

theta = atan(y/x)

z = z

and back its:

x = rcos(theta)

y = rsin(theta)

z = z

However, I'm getting confused as to what it would be for velocities.

What I've got so far is:

vx = vtheta * sin(theta) * sign(y)

vy = vtheta * cos(theta) * sign(-x)

vz = vz

Am I doing the right kind of thing or am I overcomplicating things? Any help would be greatly appreciated!!

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# Co-ordinate systems and velocities

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