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7 March, 16:46

A wheel whose diameter is 3 feet rolls a distance of 45 feet without slipping. Through what radian angle did the wheel rotate? 1) 30 2) 25 3 30 pi 4) 12 pi

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  1. 7 March, 17:52
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    1) 30

    Step-by-step explanation:

    We need the radius of the wheel, we know that the radius is half the diameter, therefore:

    r = d / 2 = 3/2 = 1.5

    the angle is equal to the distance traveled (s) divided by the radius, thus:

    ° A = s / r =

    ° A = 45 / 1.5

    ° A = 30 radians

    Through the radiation angle of 30 radians the wheel turned

    therefore the answer is 1) 30
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