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26 April, 12:13

An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90π inches per minute, what is the diameter, in inches, of the circular path?

a. 5.625

b. 6

c. 11.25

d. 12

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Answers (1)
  1. 26 April, 15:43
    0
    For a circular path of diameter d, one complete revolution has length

    C = π*d

    The linear speed is the ratio of length to time. The problem statement tells us the linear speed is ...

    C / (8 seconds) = (90π in) / (60 seconds)

    Substituting for C, we get

    (π*d) / (8 s) = (90π in) / (60 s)

    Multiplying this by (8 s) / π gives

    d = (8*90/60) in

    d = 12 in

    The appropriate choice is ...

    d. 12
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