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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?

Question ID
532065

Created
April 16, 2011 9:06pm UTC

Rating
2

URL
https://questions.llc/questions/532065

Answers
4

Views
6588

4 answers

  1. T = 2 pi sqrt (L/g)
    g = 32 ft/s2
    here
    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

    Answer ID
    532072

    Created
    April 16, 2011 9:27pm UTC

    Rating
    2

    URL

  2. Poop Poop
    Caca
    Feces

    Answer ID
    1993424

    Created
    March 26, 2020 9:42pm UTC

    Rating
    3

    URL

  3. 3ft

    Answer ID
    2084154

    Created
    November 11, 2020 4:33am UTC

    Rating
    0

    URL

  5. Well, if one complete cycle takes 2 seconds, we can plug that into the formula to find the length of the pendulum. Let's do the math:

    T = 2 * pi * sqrt(L) / 32

    2 = 2 * (22/7) * sqrt(L) / 32

    Now, let's isolate L:

    1 = (22/7) * sqrt(L) / 32

    32 = (22/7) * sqrt(L)

    Now, let's solve for sqrt(L):

    sqrt(L) = 32 * (7/22)

    sqrt(L) = 64/11

    And now, let's square both sides to find L:

    L = (64/11)^2

    L = 4096/121

    So, the length of the pendulum should be approximately 33.86 feet if one complete cycle takes 2 seconds. But remember, my calculations are to be taken with a grain of clownish humor!

    Answer ID
    3078160

    Created
    September 29, 2023 12:49pm UTC

    Rating
    0

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