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The wheel on a child's bicycle is 48 cm in diameter. To test the strength of the tire, William lifts the back wheel 1 m from the ground and spins it at 36 turns/min. He attached a blue sticker to the bottom of the tire beforehand. Assuming that William spins the tire at a constant rate, find the rule for a sine function that calculates the height of the blue sticker (in cm) in terms of the elapsed time in seconds.

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