tootsie roll Pop – How Many Licks does it take?
This activity will take two class periods to collect and analyze the data. Time will also be needed outside the class for writing the final report.
In this activity you will determine the rate of change of volume of a Tootsie Roll Pop (TRP) as you consume it.
• Tootsie Roll Pop
• Dental Floss & Ruler
• Graphing Calculator or Spreadsheet
• Step 1: Determine the initial circumference of the TRP and calculate the radius. (Assume it is a perfect sphere.)
• Step 2: Place it in your mouth and carefully suck for 30 seconds.
• Step 3: Measure the circumference and record.
• Step 4: Repeat step two and three a total of 10 times after the initial reading.
• Step 5: Record your measured data in a table, and add columns that calculate the radius and the volume.
• Step 1: Graph a scatter plot of the radius as a function of time to see how the radius changes with time. Use this graph to determine the rate of change of the radius (dr/dt) of the TRP from your mouth power. (Determine the equation of the trend line for your data).
• Step 2: Graph the volume as a function of time so you see how the volume can be modeled as a function of time. Determine the equation of a trend line that best fits this data.
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• Step 3: Use your estimated value of dr/dt and what you learned about related rates to determine a general formula for the rate of change of the volume of the TRP.
• Step 4: Using your data and formula, predict EMBED Equation.DSMT4 at t = 5 minutes.
• Step 5: Using your data, predict how long it will take for the volume of the TRP = 0. You have some flexibility in your answer, considering there is a tootsie roll in the center, but you must support your answer.
BONUS: In a spreadsheet, create additional columns that estimate the dr/dt and dv/dt for each 30 seconds. Also add a column that calculates each dv/dt using the formula you derived in Step 3. Evaluate and propose explanations for the differences between the measured and calculated values.
Each Student is responsible for a printed lab report containing the following information:
Cover page (Title of Lab, Name, Date, Lab Partner, Teacher Name, & Graphic)
Hypothesis (2-3 sentences stating what you “hypothesized” would be the lab’s outcome, i.e. what relationship are you trying to prove.)
Procedure (direct the reader through the steps taken to successfully reproduce the experiment….bullet form is preferred) You may use portions of this document, posted on the teacher website.
Materials (list all materials used in the course of this experiment.)
Data (show all data collected, tables, charts, etc.) & Data Analysis (make an overall analysis of what your data shows… can you draw any conclusions from the data alone?)
Calculations (display ALL calculations performed over the course of the lab, including any supplemental calculations asked for by the teacher) If you have used the spreadsheet or graphing calculator to perform calculations, you must list what formulas are in each column.
Graphs & Descriptions (all graphs need to be clearly titled, labeled, and fully explained, i.e. what does the graph show you? How does it help to make a final conclusion?)
Conclusion (Answer all questions posed of you on the lab handout plus any additional conclusion you have drawn from the experiment/ calculations. Make sure to support all of your answers and conclusions with evidence from the lab itself! This is also the time to discuss any errors that may have occurred while performing this lab.)
... | | Mathematics correctly applied| | Worked example calculations given| | Processed data (and decimal places) consistent with precision of recorded data| | Data Collection and Processing| Complete /2 ... reasonable interpretation of the data| States a conclusion based on a reasonable interpretation of the data| States no conclusion or the conclusion is based on ...
This is worth a test grade, therefore I expect exemplary and Original Work! Do not wait until the night before it is due!
SOME NOTES ABOUT EXCEL:
To Round numbers to the desired number of decimal places: Format – Cells – Number
To view the formula bar for entering formulas: View – Be sure formula bar is checked.
To enter a formula, start with =, then select cells as needed, and type in the formula. Press when done. Drag the black plus sign at the lower right corner of the cell to copy the formula through the entire column.
To use Microsoft Equation Editor, choose Insert – Object – Microsoft Equation.
If you just want symbols, double click to enter text into a cell. Choose View – Object Palette – All Symbols.
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