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A ferris wheel

The Unit Circle and Periodic Motion

The wheel never changes speed: every five seconds it advances through the same angle. Yet the cabin's height does not climb at a steady rate — it races upward around hub level and almost hangs still near the top. The wheel isn't slowing down, so why is the climb?

ferris wheel — constant speed, never stoppingthe ruler at left: equal angle steps, unequal heightseach height comes round twicethe cabin rises, crests, falls — same order every turn

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