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What Affects the Rate of Fall of a Cup Cake Container

What Affects the Rate of Fall of a Cup Cake Container?

Ideas
     I could investigate either of the following to find out what affects the rate of fall of a cup cake container:
•     Weight
•     Surface area

Predictions
     I have decided to investigate how the surface area of cup cake containers affects the rate of fall.
     I predict that by increasing the surface area of a cup cake container, it will fall at a slower rate of fall, and by decreasing the surface area of a cup cake container, it will fall at a faster rate of fall. I also predict that when the surface area of a cup cake container doubles, the rate of fall of the falling container will half. The rate of fall of the cup cake container will double when the surface area halves. This is because with an increased surface area, there will be a higher amount of air resistance to slow down the rate of fall. With a decreased surface area, there will be a lower amount of air resistance which will therefore cause a faster rate of speed. ...












Planning
     In this investigation I am trying to find out how different sizes of surface areas affect the rate of fall of a cup cake container. ...

Keep the Same     Allow to Change
The height at which the cup cake container will be dropped from     The surface are of the cup cake container
The weight of the cup cake container     
The timer, stand, clamp and ruler     

Apparatus













     
I have selected cup cake containers as the objects to represent the rate of fall in my investigation because when dropped, their shape will provide a fair way of investigating the rate of fall. This is because cup cake containers do not wobble or go off course when they have been dropped and land fairly by landing and lying flat on the ground. These containers will provide an efficient way of measuring the rate of fall.
     I will be using a timer to measure the rate of fall of the cup cake containers during my investigation. ...
     I have selected two 1 metre rulers for each test because 1 metre will give each cup cake container a long enough time to drop before giving the container 1 metre to drop whilst travelling at its terminal velocity and will provide good enough times for my results and conclusions. ... This includes cup cake containers, a timer, stand and clamp and two 1 metre rulers. With the cup cake containers, when increasing the surface area, I will need to staple the cup cake containers together. ... I will carry this out by placing the correct amount of cup cake containers into another container to even out the weight to produce a fair test. For example, as I will be testing five different sizes of surface area, during my first try, testing the surface area of only one cup cake container, I will place another four extra cup cake containers into that one container. When testing the surface area of two cup cake containers, I will place two extra containers in one of the stapled containers and another into the other container. ... Each cup cake container/s will be used by being dropped at the beginning of each experiment at the specified height. The timer will be used by starting it as the cup cake container reaches the 1 metre height and then stopping it as the cup cake container touches the ground. I will be starting the cup cake container at this height so I am sure that the cup cake container has reached its terminal velocity. ...      I will then drop one cup cake container, containing 4 extra cup cake containers, from the top of the 2 metre height. When the cup cake container reaches the 1 metre height I will be sure that it has reached its terminal velocity and I will start the timer. As the cup cake container touches the ground it will have fallen at its terminal velocity for at a length of 1 metre and I will then stop the timer. ... I will then repeat this test but each time I will increase the surface area by stapling on an extra cup cake container. I will then even out the weight by adding enough cup cake containers to equal the weight of 5 cup cake containers. ...      I will be using 5 cup cake containers during each test, each time adding 1 of these cup cake containers to the side of the previous cup cake container to achieve the chosen surface area. ...      I will be measuring change in the test each time the cup cake container/s touch the floor from falling. ...      I will be taking these measurements each time I drop a cup cake container and when it touches the ground by using the timer. ... The only hazard I will need to watch out for is the chance of the stamp falling causing the clamp and ruler to fall which may injure me. ... Firstly I will need to calculate the surface area of each amount of cup cake containers and for this I will use the equation for surface areas of circles: area = πr² (r = radius). To calculate the rate of fall, I will use the equation distance ÷ time = speed (rate of fall. I will then calculate the average rate of fall from each set of 3 tests by calculating the sum of each set of 3 tests and then dividing this number by 3. ... The cup cake containers provided me with the fairest and most reliable source for what I am trying to find out and the timer was also the most reliable piece of apparatus for this investigation. ...

Surface area if cup cake container
(cm²)     Time taken for cup cake container to fall (s)
50. ...

Results Table
(Continues on next page)

Surface area of cup cake container (cm²)               
     Time taken for cup cake container to fall (s)     Rate of fall of cup cake container     Average rate of fall of cup cake container
50. ... 05

Processing My Results
     To provide my results table with the calculations of surface area of cup cake containers, rate of fall of cup cake container and average rate of fall of cup cake container I used the equations shown in section 8 of my plan. ...



























Analysis
     From investigating the affect of surface area of a cup cake container on its rate of fall, I have found that by increasing the surface area of a cup cake container, the slower the rate of fall and by decreasing the surface area of a cup cake container, the faster the rate of fall. ...
     In my results, I can see that as I increase the surface area of the cup cake container, the rate of fall and the average rate of fall decreases and vice versa.


Approximate Word count = 5638
Approximate Pages = 22.6
(250 words per page double spaced)

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