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The Length of time (T) in seconds it takes the pendulum of a clock to swint through one complete cycle is given by the formula T=2pie square root of 7 divided by 32 where L is the length in feet, of the pendulum, and pie is approximately 22 divided by 7. How long must the pendulum be if one complete cycle takes 2 seconds?

  • algebra -

    T = 2 pi sqrt (L/g)
    g = 32 ft/s2
    2 = 2 (22/7) sqrt (L/32)
    sqrt (L/32) = 7/22
    L/32 = 49/484
    L = 3.24 ft

    check by hanging a weight from a 3' 3" string

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