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Spirals Are Seen in Nature - in the Swirl of a Pine

Question 17

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Spirals are seen in nature - in the swirl of a pine cone; they are also used in machinery to convert motions. An Archimedes Spiral has the general equation r = a θ. A more general form for the quation of a spiral is r = aθ1/n where n is a constant that determines how tightly the spiral is wrapped. Compare the Archimedes Sprial r = θ with the spiral
Spirals are seen in nature - in the swirl of a pine cone; they are also used in machinery to convert motions. An Archimedes Spiral has the general equation r = a θ. A more general form for the quation of a spiral is r = aθ<sup>1/</sup><sup>n</sup> where n is a constant that determines how tightly the spiral is wrapped. Compare the Archimedes Sprial r = θ with the spiral      by graphing both on the same polar graph.
by graphing both on the same polar graph.

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