Sample Calculus Lab: How Many Licks
Objective:
. To determine the rate of change of the volume of the tootsie roll lollipop at the time when the radius of the lollipop is three-fourths the original value.
Equipment Needed:
• Tootsie( Roll Pop/Blow Pop(
• Ruler
• Timer (use the timer on your cell phone)
• Graphing Calculator
Part 1 - Data Collection:
Step 1: Determine the initial radius of the TRP/BP. (Assume it is a perfect sphere.)
Step 2: Take the TRP/BP and suck on the lollipop for 30 seconds.
Step 3: take out after every 30 second. Measure the radius with dental floss and record all your data into a table.
Step 4: Repeat step 2 and 3 as many times as possible.
|Time (s) |Circumference C = 2πr (mm) |Radius (mm) |
|0 | | |
|30 | | |
|60 | | |
|90 | | |
|120 | | |
|150 | | |
|180 | | |
|210 | | |
|240 | | |
|270 | | |
Part 2 - Data Analysis: Based on the data, determine the rate of change of the radius as a function
Using the data from your table, graph the radius as a function of time on graph paper. From this graph determine the rate of change of the radius of the TRP/BP for your mouth power. Use a line of best fit to calculate the rate of change if data appears to be linear. Use the linear regression capabilities of your graphing calculator to find the best fit line.
[pic]
Part 2: The Mission: Using these results and what you learned about related rates from Calculus class, determine how fast the volume of the TRP/BP is decreasing when the radius is three-fourths its original value. Be sure to include all calculus support and calculations. Show all work.
Part 4- Reflection
Answer the following questions using complete sentences.
1. What happened to dr/dt as the radius decreased?
2. What happened to dV/dt as the radius decreased?
3. A well-known calculus text states that when sucked a TRP gives up volume at a rate of 0.8 cubic centimeters per minute. Based on your experiment, comment on the reasonableness of this value (percent error). How well did the theoretical dV/dt correlate with the actual dV/dt?
4. Discuss any assumptions made and/or any difficulties you had, that may contribute to the reasonableness.
5. Using the number of licks you counted in the first 30 seconds, calculate how many licks it does take to reach the center of a TRP.
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- mathematics test—no calculator sat suite of assessments
- sample calculus lab how many licks
- mat 210 rates of change practice
- math test—no calculator the sat suite of assessments
- transportation rate calculation
- calculus steelton highspire high school
- weight based heparin nomogram
- example reappointment using gs rate as highest previous
- ngpf activity bank 2020 21mr marynovskyy mr
Related searches
- how many calories in my starbucks drink
- how many new businesses fail
- how many people secretly like you quiz
- how many airborne a day
- bananas how many a day
- how many significant digits calculator
- how many significant figures are in 40
- how many words can you find games
- how many small businesses fail
- how many significant figures in 100
- how many high schools in baltimore city
- how many schools are in baltimore