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2 February, 18:41

A Wheel 15 inches in diameter is spun around 4 full turns. What distance, to the nearest inch, did a mark on the edge of the wheel travel in those four turns? explain how you figured out your answer

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  1. 2 February, 18:49
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    If the wheel has a diameter of 15 inches, its radius is half that, or 7.5 inches then.

    a full turn, or a full cycle around the wheel, namely around the circle is 360° or 2π radians.

    now, in one turn or cycle, it covered an angle of 2π, in 2 cycles it covered 2 (2π), in 3 it did 3 (2π) and in 4 of course 4 (2π).

    so, what is the arc's length, whose radius is 7.5 and its central angle is 8π?

    well ... you already know that s = rθ, therefore then, s = (7.5) (8π).
  2. 2 February, 19:06
    0
    C=π*d so the distance the mark travels in 1 revolution is 15*π. for 4 revolutions we get 60π and this is approx 189 inches
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