Uniform Circular MotionRectangular viewpoint
x = r cos[q(t)]
y = r sin[q(t)]
Now we use: vx = dx/dt and vy = dy/dt:
vx = dx(t)/dt = dx(q)/dq * dq/dt =
r (- sin(q) ) * w = -w r sin(q)
vy = dy(t)/dt = dy(q)/dq * dq/dt =
r (+ cos(q) ) * w = w r cos(q)
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