Uniform Circular MotionRectangular viewpoint

x = r cos(q)

y = r sin(q)

vx = -w r sin(q) This v is same as for

vy = w r cos(q) uniform circular motion

Now we use: ax = dvx/dt and ay = dvy/dt. Since w is not constant, we need to use the product rule.

ax = - a r sin(q) + -w2 r cos(q)

ay = +a r cos(q) + -w2 r sin(q) .

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