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

Investigation into Relationship between Volume and Diameter in Sand Piles

Extracts from this document...

Introduction

25/09/01   -Physics Coursework 2 0 0 1-   Kajeynan Jeyaveerasingam 4D


Key Stage 4 - Assessment Ph2 – Sand Pilesimage00.pngimage01.jpgimage02.pngimage03.pngimage04.png

i) Investigation into Relationship between Volume and Diameter

If sand is allowed to fall steadily onto a horizontal, level, and flat surface, it forms conical piles.

Our AIM, in this experiment, is to find the effects, on the diameter, caused by varying the volume these conical piles of building sand, and hence, find their relationship with one another, in terms of a graph showing all possible, plausible volumes, applicable in the laboratory, with their respective outcomes.image05.png

There are two predictions to discuss, the first being the qualitative prediction, explaining itself in simple, common sense terms, followed by a quantitative prediction.

Qualitative Prediction: As the volume of the pile increases, I would expect the diameter to increase; this I observed, when I was travelling to school, and saw piles of building sand, cement, grit, and other building materials on the sites. Everyday, when I passed, the piles would get smaller, as the materials were gradually used up, but not just in height and volume, but their diameter also.

...read more.

Middle

2] The apparatus used were as follows: a small funnel, for steady constant distribution of the sand onto the piles; pieces of graph paper to measure the diameter with; a measuring cylinder for precise measurement of the volume of sand to be distributed.image06.png

3] When the volumes were measured out we were careful to look at the graduation of the cylinder from all sides as the sand does not self-level like water.

4] Our method for the equal distribution of the sand was to keep the flow of sand directly over the centre of the paper and consequently directly over the centre of the pile, to make sure that equal amounts of sand fell on each side of the cone. For the same reason we kept the angle of the funnel at a steady 90°. We then also kept the distance between the apex of the pile and the tip of the funnel constant, so that the force of the falling sand on the pile remained uniform, this distance was 5mm.

5] To measure the diameter,

...read more.

Conclusion

[5] When we were measuring out the volumes in the measuring cylinder, we found that there were small pockets of air being formed where there was not enough force to collapse them from above. So, these would have significantly affected our results, had they been pockets of air near the centre of the cylinder, which we could not see, and therefore rectify.

[6] Then there was the fact that, however hard you tried, the diameters of no one pile, let alone two, could match up, again due to uneven distribution of sand, and the movement of the graph paper just as the sand piles’ diameters were going to be measured.

[5] Finally, there was the factor of human error and the commonly occurring parallax problem, when using the eye, to measure the volumes and diameters, which would have slightly affected our results, as well.

[6] Of course, if they were available, more accurate material-measurement, ~distribution, and result-measurement equipment would have helped to impede any mistakes occurring due to human error, in measuring and distributing the sand, like, for example, the case of the funnel’s angle relative to the paper, and the case of the hand’s steadiness.

Page  of

...read more.

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

  1. Investigating the Relationship Between the Amount of Money a Football Club Receives and its ...

    low compared to a maximum value of 50). This is not the case. This shows that there is great variation in the league position of teams within each group and that teams which receive similar grants do not finish in similar league positions.

  2. Statistics coursework

    12 58 100 - Total KS2 results of boys in year 7 Total of KS2 results Frequency Cumulative Frequency Percentage of total 5<C<8 3 3 4.48 8<C<10 8 11 16.42 10<C<12 26 37 55.22 12<C<14 19 56 83.58 14<C<16 11 67 100 My next step is to prove that if

  1. &amp;quot;The lengths of lines are easier to guess than angles. Also, that year 11's ...

    Next, I drew some scatter graphs which showed how much error someone had made, for example if some had estimated 2� above the actual angle size, and 0.3cm below the estimate of the line, their coordinates would be (-0.3,2). From the scatter graphs I was able to see that there

  2. DATA HANDLING COURSEWORK

    For example, I will now predict the percentage of boys and girls that weigh between 0kg and 50kg. From the graph, I can see that 50% of the boys are between this range and 56.7% of the girls are between this range.

  1. Statistics Coursework

    Using all of these diagrams I will then compare all of the students' attendance for each year. Then I will also analyse all of these graphs and diagrams and actually come to a conclusion that tells me all the information I need (e.g.

  2. Used Cars - What main factor that affects the price of a second hand ...

    Below are the findings from the scatter graphs. What do the Scatter graphs illustrate? Most basically the scatter graphs show that as the Engine size of cars increase so too does the second hand price of the cars. Also when the mileage and age of cars increase so too does the second hand price of cars.

  1. Design an investigation to see if there is a significant relationship between the number ...

    in my investigation, as I believe it is the only discontinuous variable that will have a relationship with the length of a frond, due to the factor of the weight mentioned above. Other discontinuous variables I could have opted to use are the colour of the seaweed, or the number of fronds.

  2. Estimating the length of a line and the size of an angle.

    So in my opinion I think random sampling would be better. Using stratified method of sampling to collect a sample Now I will use stratified sampling to choose a sample of 60 students out of the 451 students.

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