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  2. In the following, a couple of problems about simple pendulum in various situations is presented. Simple Pendulum Problems. Problem (1): In a simple pendulum, how much the length of it must be changed to triple its period? How about its frequency?

  3. This physics video tutorial explains how to solve simple pendulum problems for the engineering futures 'Ultimate Pendulum Worksheet' #1-5.

    • 8 min
    • 1620
    • Anthony Todt
    • Measuring Acceleration Due to Gravity: The Period of A Pendulum
    • Strategy
    • Solution
    • Discussion

    What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000 cm has a period of 1.7357 s?

    We are asked to find ggsize 12{g} {} given the period TTsize 12{T} {} and the length LLsize 12{L} {} of a pendulum. We can solve T=2πLgT=2πLgsize 12{T=2π sqrt { { {L} over {g} } } } {} for ggsize 12{g} {}, assuming only that the angle of deflection is less than º15º15ºsize 12{"15º"} {}.

    Square T=2πLgT=2πLgsize 12{T=2π sqrt { { {L} over {g} } } } {} and solve for ggsize 12{g} {}: g=4π2LT2.g=4π2LT2.size 12{g=4π rSup { size 8{2} } { {L} over {T rSup { size 8{2} } } } } {} 16.30
    Substitute known values into the new equation: g=4π20.75000m1.7357 s2.g=4π20.75000m1.7357 s2.size 12{g=4π rSup { size 8{2} } { {0 "." "75000"" m"} over { left (1 "." "7357 s" right ) rSup { size 8{...
    Calculate to find ggsize 12{g} {}: g=9.8281m/s2.g=9.8281m/s2.size 12{g=9 "." "828"m/s rSup { size 8{2} } } {} 16.32

    This method for determining ggg can be very accurate. This is why length and period are given to five digits in this example. For the precision of the approximation sin θ≈θsin θ ≈θsize 12{"sin"θ approx θ} {} to be better than the precision of the pendulum length and period, the maximum displacement angle should be kept below about º0.5º0.5ºsize 12{...

  4. Jun 4, 2019 · This example problem will show how to use the pendulum formula to find the length of a pendulum for a known period. Grandfather clocks count out time using a pendulum to drive their mechanism. Question: Grandfather clocks are decorative clocks with a pendulum measuring out the passing of a second.

  5. There are two basic approaches to solving this problem graphically — a curve fit or a linear fit. Let's do them in that order. First method : Start with the equation for the period of a simple pendulum.

  6. This physics video tutorial discusses the simple harmonic motion of a pendulum. It provides the equations that you need to calculate the period, frequency, ...

    • 26 min
    • 400.1K
    • The Organic Chemistry Tutor
  7. Feb 20, 2022 · Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing. It’s easy to measure the period using the photogate timer.