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

Verification of the earth's gravitational field strength

Extracts from this document...

Introduction

Challenge 5- Verification of the earth’s gravitational field strength.

Design

Research Question: Is it possible to verify the earth’s gravitational field strength at Istra and get results that are close to the text book result (9.8ms-1)?

Hypothesis: I believe that it is possible to verify the earth’s gravitational field strength at Istra just like you can verify it wherever you are in the world. There are several ways in which this can be done due to the fact that g (gravitational field strength) is met in various equations. However, the most valid experiment in which we can find g is the pendulum one due to the fact that it is possible to do it at Istra and at the same time get a fairly accurate result. A pendulum is made up of a mass (bob) attached to a string that is fastened so that the pendulum can swing (oscillate) in a plane.  In a simple pendulum, all the mass is considered to be concentrated at a single point at the centre of the bob.  Physical quantities of the pendulum include length L, mass m, angle through which the pendulum swings θ, and the period T of the pendulum (which is the time it takes for the pendulum to swing through one complete oscillation).

image00.png

...read more.

Middle

Time for 20 oscillations (T)/s  (±1s)

Trial 1

Trial 2

Trial 3

0,5

29,93/29,94

29,87/29,97

29,93/29,87

1,0

41,08/41,14

41,23/41,26

41,25/41,13

1,5

49,93/50,16

49,97/49,88

49,87/49,53

2,0

57,13/57,32

57,62/57,43

57,48/57,54

We have two readings for each trial because we had to stopwatches going at the same time. Our next step is to find an average for each reading.

Table showing the Period for 20 oscillations obtained at different lengths. (All time readings to two decimal places).

Length of pendulum string (L)/ m (±0.01m)

Average Time of each trial (T)/s  (±1s)

Trial 1

Trial 2

Trial 3

0,5

29,94

29,92

29,90

1,0

41,11

41,75

41,19

1,5

50,05

49,93

49,70

2,0

57,23

57,53

57,51

Data processing:

Our next job is to actually find an average for the 20 oscillations and then find the time for 1 oscillation. To find the average for the 20 oscillations we will add the three trials for each length and divide them by 3. To find the average oscillation we will divide our answer by 20.

E.g. for 0.5m average for 20 oscillations →(29.94+29.92+29.90)/3=29.92

Average for 1 oscillation= 29.92/20= 1.50 (All results to two decimal places).

Table showing the average time for 20 oscillations and then the period.

Length of pendulum string (L)/ m (±0.01m)

Average Time for 20 oscillations (T)/s (±1s)

Average Period (T)/s

0,5

29,92

1,50

1,0

41,35

2,07

1,5

49,89

2,49

2,0

57,42

2,87

Our final step is to find the constant in order to then find g.

...read more.

Conclusion

Evaluation: There were several weaknesses in our experiment. First of all, it was very hard to keep the angle the same all the time. This may affect the readings because it can affect the period. Also, it was hard to keep the bob moving symmetrically which again affects the period of an oscillation. Finally, it was hard to make sure that both people with the stopwatch started at the same time and therefore this distorted our readings for the period a little bit.

In terms of limitation, we couldn’t use a longer string because of the space and as a result our data may be insufficient to accurately show the earth’s gravitational field strength.

Improvements: Realistic improvements that could cut some weaknesses of the procedure could include using greater lengths of string and doing the procedure in a greater space.  This would help to get more results and hence get an even closer answer to g. Moreover, I believe the more trials done, the better chance you will get of obtaining the best average value: perhaps 10 trials would be a good idea. Finally, we could use technology to get precise timing. It is possible to set a beam of light with a sensor that starts the stopwatch every time the bob cuts the beam and stops the stopwatch when the bob cuts the beam on the way back. That way we can get an exact value for the period.

image06.jpgimage07.jpg

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

    Having figured out these factors, I was ready to begin collecting results. The first thing I did was to set up my apparatus according to my Diagram 1. I then measured the distance l as 2 cm with 30cm ruler (used for precision and accuracy)

  2. Experiment on looking at enthalpy of solutions

    103,00 17,10 17,30 17,20 104,00 17,10 17,30 17,20 105,00 17,10 17,30 17,20 106,00 17,00 17,30 17,15 107,00 17,00 17,30 17,15 108,00 17,00 17,30 17,15 109,00 17,00 17,30 17,15 110,00 17,00 17,30 17,15 111,00 17,00 17,30 17,15 112,00 17,00 17,30 17,15 113,00 17,00 17,30 17,15 114,00 17,00 17,30 17,15 115,00 17,00

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

    Application of Force for elastic band of length 140, 144, 148 and 152 cm 23 Graph 6 Shows the curve for ? = 0.112 25 Graph 7 Shows the curve for ?> 0.112 25 Graph 8 Shows the curve for ?> 0.112 25 Introduction According to any ordinary man, when

  2. Pendulum work out the value of acceleration due to gravity (g), by using ...

    * Metre rule- This is used to measure the length of the string that is the controlled variable. * Stopwatch- This is used to measure the time taken by a preset number of complete oscillations that we are allowing the pendulum to make.

  1. Investigating the Oscillations of an Obstructed Pendulum

    Distance from top of pendulum to obstruction (m) ±5.0 x 10-4 Time taken for 20 oscillations (secs) ±0.05 Time period of 1 oscillation (secs) ± 5.0 x 10-3 T1 T2 T3 TAVG 1 0.40 31.97 31.96 32.00 31.98 1.60 2 0.45 31.36 31.32 31.37 31.35 1.57 3 0.50 30.56 30.50 30.52 30.53 1.53 4 0.55 30.09 30.10 30.13

  2. HL Physics Revision Notes

    Important Outline the Schrödinger model of the hydrogen atom. The model assumes that electrons in the atom may be described by wave functions. The electron has an undefined position, but the square of the amplitude of the wave function gives the probability of finding the electron at a particular point.

  1. IB Physics Design Lab - Does the temperature a bar magnet is exposed to ...

    ?micro-shocks? at the surface of the metals eventually causing the magnet to lose its strength. To maintain the same pH for all water baths, I will be using distilled water which has a neutral pH (pH 7). Vibrations/Shocks Small vibrations or shock to the magnet may also lead to the

  2. Testing the Resistivity of Pencil Lead.

    0.001m ?: 3.14 Uncertainty Calculations: CONCLUSION & EVALUATION In this experiment resistivity constant of pencil lead is aimed to be found. In order to get results a power supply is bound to a pencil lead with two conducting wires. Current value which is shown in the screen of power supply is recorded to data table.

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