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# The Simple Pendulums - Errors

Extracts from this document...

Introduction

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.

Middle

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

 Time (secs) Average (secs) String Length (mm) 1 2 3 4 5 150 2.03 1.87 1.86 1.78 1.79 0.933 220 1.92 1.86 1.99 2 2.13 0.99 290 2.23 2.22 2.29 2.16 2.14 1.104 480 2.62 2.28 2.63 2.72 2.68 1.293

Gravity = (4π²)/T²

= 9859.6 = 9859 mm/s/s

= 9.8596 = 9.86 m/s/s

 String Length (mm) Time (secs²) 124 390 150 0.62 0.87 220 0.78 0.98 290 1.04 1.22 480 1.75 1.78

Graphs:

1.8/0.52

=3.461538462m

=3.

Conclusion

2)

Minimum G (m/s2)

9.49

10.74

8.42

11.22

12.48

10.12

11

12.04

10.08

10.88

11.64

10.18

Average Gravity = 10.65 m/s2

Maximum Gravity Averaged = 11.73 m/s2

Minimum Gravity Averaged = 9.7 m/s2

Average = 10.65 ± (11.73 – 9.7) m/s2

= 10.65 ± 2.03 m/s2

Areas within this experiment where errors are most likely to occur are when stopping the timer on the moment that the pendulums have reached two cycles; Error in human judgment and reaction time when it comes to pressing the button is impossible to overcome. Therefore the method of recording the reaction times must be changed and replaced with something controlled by machinery, which would be much more accurate.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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