• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12

Finding the Spring Constant (k) and Gravity (g) using Hooke’s Law and the Laws of Simple Harmonic Motion

Extracts from this document...

Introduction

Finding the Spring Constant (k) and Gravity (g) using Hooke's Law and the Laws of Simple Harmonic Motion Aim: In this investigation I will calculate an estimate for the spring constant of a certain spring. To do this I will use Hooke's Law - F = k e I will then use the laws of simple harmonic motion to get a better estimate and compare the two results. The equation that I will use is below: T = 2? Plan: To use Hooke's Law to calculate k I will need to find the extension of the spring when a certain force is hanging from it. To use the simple harmonic motion formula I will need to time the period (T) of the oscillations of the spring when a certain mass is hanging from it. To calculate gravity (g) I will need the square of the period (T2) and the extension of the spring for each mass as I will be using the following formula: T2 = 4 ?2 e g which is derived as follows: T2 = 4 ?2 m k F = m g F = k e k e = m g k = m g e T2 = 4 ?2 m e m g T2 = 4 ?2 e g Equipment List 1. ...read more.

Middle

k 15. The final graph will use the formula; T2 = 4?2 e g to calculate an estimate for gravity. Examples of all three of the graphs are shown on the following pages along with the results of my investigation. Investigation First Set of Results: Mass (kg) Extension (m) Period (s) 0.101 0.035 0.375 0.203 0.070 0.566 0.302 0.105 0.624 0.404 0.140 0.734 0.503 0.175 0.839 0.605 0.210 0.922 0.101 0.035 0.324 0.201 0.070 0.546 0.302 0.105 0.627 0.401 0.140 0.724 0.504 0.175 0.820 0.606 0.210 0.919 0.101 0.035 0.354 0.200 0.070 0.545 0.300 0.105 0.655 0.399 0.140 0.699 0.498 0.175 0.836 0.601 0.210 0.921 The results now need to be averaged so that I can start to produce the graphs that I need: Mass (kg) Force (N) Extension (m) Period (s) 0.102 1.001 0.035 0.351 0.202 1.978 0.070 0.552 0.302 2.963 0.105 0.635 0.401 3.937 0.140 0.719 0.501 4.915 0.175 0.831 0.604 5.925 0.210 0.921 Graph 1 I will use this graph to calculate an estimate for the spring constant. It can be found on page 7. on the y-axis I will plot Force (N) ...read more.

Conclusion

I could use more accurate scales. The ruler that I used was accurate to 0.5mm. * Human error when recording or measuring * The eye can only measure to 1mm therefor a more accurate ruler would not make any difference. A digital measurement device could be used. * Human error often occurs when recording or transferring data. There is no way to correct this other than checking all data as it is entered. * Spring is damaged due to exceeding elastic limit * If a spring exceeds its elastic limit it is permanently damaged and results will be affected by this. To overcome this problem too much weight must not be added to the spring. I don't think that any of the possible sources of error mentioned above will have had much effect on the outcome of the investigation. The investigation went very well. I calculated two values for the spring constant of the spring which were very close. I also calculated an approximation for gravity which is very close to the real value. If I were to redo the experiment I would take more data and use more accurate equipment so that I could get a more accurate estimation for the spring constant. Finding The Spring Constant and Gravity Page 1/12 Andrew Howlett ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our AS and A Level Waves & Cosmology 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 AS and A Level Waves & Cosmology essays

  1. Making sense of data - finding a value for the young modulus of a ...

    0.1/90 = 0.11% L3 = 3 x L = 0.33% Therefore the total percentage error from this experiment is equal to B + D3 + L3 = 0.017 + 0.099 + 0.33 = 0.446% Conclusion and Evaluation There could be many errors in the experiment that could have affected the accuracy of the final result.

  2. The aim of this investigation is to examine the effect on the spring constant ...

    Results Single Spring Mass / 100g Length 1 /mm Length 2 /mm Length 3 /mm Average /mm 1 65.1 68 63 65.37 2 105 114 110 109.67 3 154.2 154 155 154.40 4 190 188.8 189 189.27 5 235.2 234 235 234.73 6 269 270.2 271 270.07 7 299.2 299.3

  1. Measuring spring constant using oscilations of a mass.

    * I will have to be careful while I am going to time the oscillations as initially I have got no idea how the spring would react under the stress of different masses. * I will have to keep the area around me clear so that I can work without any disturbance.

  2. Investigating the Vertical Oscillations of a Loaded Spring.

    K= 4P2 x 0.296 0.56 K = 20.87 3rd reading: K= 4P2 x 0.491 0.87 K = 22.28 As you can see the two recorded results are not that different. Using the Graph method I worked out an elastic constant of 21.81 kgT-2, and using the calculation method I got an average elastic constant of 20.90 kgT-2.

  1. Determine the value of 'g', where 'g' is the acceleration due to gravity.

    I will have to carry out the preliminary experiment to work the maximum load a spring can take without going past its elastic limit. CALCULATIONS To determine the value of gravity I will have to derive an equation as show below:- We know: Hooke's law states that the extension of a spring (or other stretch object)

  2. Simple Harmonic Motion of a mass-spring system.

    Two to three trials were performed. The timing was then repeated twice. The results were recorded to find out the mean time and the period of oscillation of the mass. 3. During the oscillation, the following points were observed: a).

  1. Physics - The aim of this practical investigation was to obtain a value for ...

    �0.392 1013.0 1016 1008.0 1003.0 1000 1008.0 �8.0 Example Calculations Force Given by Force = mass * acceleration due to gravity (which we take to be 9.81ms-2) or F = mg So, for a mass of 0.6kg the Force would be, F = mg F = 0.6 * 9.81 =

  2. What factors affect the period of a Baby Bouncer?

    As the initial force applied is proportional to the extension, I realised a larger force needed to be applied. Therefore a 4cm force was applied, which gave an ample oscillation for times to be recorded from, hence this force being used in this investigation.

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