• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Question: Does the length of the string holding the pendulum in mid-air affect the frequency?

Extracts from this document...

Introduction

Factors that Affect the Frequency of a Pendulum

Friday, February 8th, 2011

Written By: Moiz Zahid

Performed with: Samer Hafuth and Milos Jovkovic

Question: Does the length of the string holding the pendulum in mid-air affect the frequency?

Hypothesis: If the length of the string is increased then the frequency of the pendulum will decrease.

Explanation: When the length of the string is increased, the frequency decreases as it takes more time for the pendulum to complete one cycle. The more time it takes the slower the movement meaning the lower the frequency. Since frequency equals number of cycles divided by total time, the larger the time amount the more the cycles are divided by, which would result in a smaller number. This is similar to water waves as the larger the wave the slower it moves and the lower its frequency.

Figure 1: Graph Sketch

image12.png

Variables:

...read more.

Middle

Repeat steps 3-9 for 30, 40 and 50cm string length (from C-Clamp to bottom of string loop), 4 times each, and 3 more times for 20cm length to get 4 trials for each length.

Observations:Table 1: Comparing String Length with Time

Trial

String Length (cm)

±0.01

Time (seconds)

±0.5

1

20

16.1

2

15.9

3

15.8

4

15.8

5

30

18.6

6

18.2

7

18.6

8

18.4

9

40

20.5

10

20.6

11

20.6

12

20.6

13

50

22.2

14

22.2

15

22.4

16

22.3

*Retort Stand wobbled throughout the experiment

Analysis:

Sample Calculation:image02.png

...read more.

Conclusion

        Second Source of Error is the pendulum clamp interference with string while it moves. Since the String is looped around the pendulum clamp holder, and swings perpendicular to the clamp, the clamp interferes with the movement of the string. As the string swings it hits the clamp near the rest position which causes the string to slow down in its movement. When the string slows down the time increases which causes inaccurate frequency measurement and inaccurate timing. This factor could be fixed by having a clamp where the string hangs below it and swings below it, so that there is no interference in the movement of the string.                

...read more.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related International Baccalaureate Physics essays

  1. Pendulum lab. The main purpose for this experiment is to find the factor that ...

    In the calculation, the percentage of uncertainty from the gradient of best-fit line was 2%. One factor that affected the motion of the pendulum was the length of the string as it is the independent variable in this experiment, as table shows an increase in time whenever there is an increase in the length of the string.

  2. Speed of Sound in Air

    � 0.5 Period (s � 0.005s) Average Wavelength (m) 256 0.00391 1.351 320 0.00313 1.064 384 0.00260 0.872 440 0.00227 0.766 512 0.00195 0.663 A graph of average wavelength vs. the period will be provided. Note: Uncertainties are too small to be seen and thus are excluded from the graph but however, must be taken into consideration.

  1. Investigate the factors affecting the period of a double string pendulum

    * To avoid human error, I will use the same person all throughout the investigation and to use the digital timer therefore the human reaction time will be accounted for only on person (that is myself). Thus my error as my human reaction speed when timing the period will of the metal bar will be kept constant.

  2. Suspension Bridges. this extended essay is an investigation to study the variation in tension ...

    Thus, I modified my plans and used lengths which were greater than the actual distance between the two nails, that is, 140 cm, 144 cm, 148 cm, and 152 cm. An ideal elastic string would be a one-piece rubber band.

  1. Speed of Sound in Air

    A frequency which is more accurate i.e. one generated electronically, would also result in more valid results. The apparatus that were used performed well, although the tuning fork may have contributed to errors, as stated above.

  2. Simple pendulum lab. In this experiment, the length of the string will be ...

    + (Uncertainty 2) X 100 (Value 1) (Value 2) 0.2 + 0.001 X 100 1.52 0.535 = 9.14 ms-2 �13.3 % = 13.3 X 9.14 100 = �1.21562 = 9.14 ms-2 � 1 ms-2 Average of Gravity = 9.14 + 9.17 + 8.64 + 9.22 + 8.99 + 8.42 + 7.70 + 7.34 8 = 8.56 ms-2

  1. Investigating the Oscillations of an Obstructed Pendulum

    Improving the Investigation Air resistance is one source of error that cannot be eradicated. It is always going to be present, and it can never be eliminated. However, the room conditions can be monitored more in order to make sure that there is no wind or any other factor affecting the investigation.

  2. HL Physics Revision Notes

    atmosphere, this is why the sky appears blue Harmful UV radiation is absorbed by the ozone layer in the atmosphere which would otherwise be harmful to creatures living on the surface of the Earth Explain the terms monochromatic and coherent.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work