Over the next three lessons we will carry out a task to answer the following research question:
The mass and diameter of different balls of Plasticine need to be measured in order to determine the mathematical relationship between the mass and diameter.
To test this relationship you are going to measure the diameter of many different sized balls of Plasticine. Start with a ball of radius approximately 0.5 cm, measure its mass then measure its diameter 5 times. Repeat this for at least 5 different sized balls entering your data in an Google sheet.
For detailed instructions please join my class on the InThinking website (follow the link on the right). You will need to create a new account and input your details).
Once you are on the InThinking website please click on 'SL units, lessons and test' then 'Measurement and uncertainty' then 'Optional Practical: Density of plasticine'.
A summary of the task and instructions can be found on the document below:
Click on the link below to install the LoggerPro software. Once you have clicked on the link it will automatically download LoggerPro for MACs. You will then need to click on the file and follow the instructions to install.
Can we predict the mathematical relationship between mass and diameter?
Open up the 'Finding an equation to connect variables' sheet on the left. For each data set I want you to use LoggerPro to plot a graph and use the software to determine the mathematical relationship between the variables. I then want you to set up the correct graph that will give you a straight line graph and insert that into the Google sheet next to each data set.
Use LoggerPro to plot a straight line for the data you collected last lesson. You will need to do some data processing before you plot the graph.
Any measurement that we take will always have an associated uncertainty. We can never know anything to perfect level of accuracy.
We need to acknowledge this uncertainty when we collect data, and we will then be
How can we calculate the uncertainty in the diameter of our plasticine ball?
We will be displaying the size of the error in a particular quantity (e.g. mass, diameter or diameter cubed) on a line graph as an error bar.
Your teacher will show you how this can be done on LoggerPro.
You now need to calculate the error in d^3 from the error in d. You will then plot this as error bars on you graph
If you forget how to add error bars or create line of maximum and minimum gradient then please watch this video