Uniform Circular MotionBack to Polar

To convert back to polar for position, we use the inverse transformation equations:

x = r cos(q) y = r sin(q)

r = [x2 + y2]1/2 = [r2 cos2(q) + r2 sin2(q)]1/2

= r[cos2(q) + sin2(q)]1/2 = r

q = inv tan[y/x] = inv tan[ r sin(q) / r cos(q)]

= inv tan[tan(q)] = q .

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