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28 September, 06:53

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

a 5.4s

b 4.9s

c 6.8s

d 6.1s

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Answers (1)
  1. 28 September, 06:58
    0
    The correct option is "d".

    Given that L = 0.8T²

    length of pendulum = 30ft

    L = 0.8T²

    30 = 0.8T²

    T² = 30 / 0.8

    T² = 37.5

    T = √37.5 = 6.1 seconds

    So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.
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