The Simple Pendulums - Errors

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15/09/02

The Simple Pendulums – Errors

The following is a diagram of the kit used:

The following describes the method we used to collect the data:

  1. Attach a piece of string to the tripod.
  2. Attach the metal weight to the end of the string.
  3. Now that the string is taught, measure it using a ruler.
  4. Adjust the string length until it is 150mm long from the very top of the string to the very top of the metal weight.
  5. Holding a ruler horizontal to the ground and at the same height as the metal weight, pull the weight 62mm using the ruler as a guide. Remember to keep the string taught.
  6. On the instruction of the timer release the weight.
  7. The timer should have his eyes at the same height as the metal weight.
  8. Record the time on the moment the weight finishes it’s second cycle.
  9. Repeat 5 times and then do the same for 220, 290 and 480mm.
  10. Now follow the above method but for an amplitude of 190mm instead of 62mm.
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Results:

Small: Amplitude – 124mm

Formula: T = (2π) ² x √(L/g)

Rearrange in form y = mx + c

                         = (4π²)/T²

Gravity = (4π²)/T²

         = 10955.11 = 10955 mm/s/s

         = 10.95511 = 10.96 m/s/s

Large: Amplitude – 390mm

Gravity = (4π²)/T²

         = 9859.6 = 9859 mm/s/s

         = 9.8596 = 9.86 m/s/s

Graphs:

1.8/0.52

=3.461538462m

=3.46 x 10-3m

1.3/0.39

=3.421052632

=3.42 x 10-3m

Average = (3.46 x 10-3) – (3.42 x 10-3)

          =  4 x 10-5

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