What does π (pi) represent?
How does one measure pi?
When a circle’s diameter is 1, its circumference is π.
The distance half way around the edge of the circle
will be 3.14159265… Pi
When a circle’s radius is 1—called a unit circle—its circumference is 2π.
Pi is related to an angular measurement called a radian.
In calculus based physics, radians are far more useful and natural to use than degrees.
-determine the relationship between the circumference of a circle and its diameter.
– learn how to use Logger Pro (Graphical analysis software).
– understand that data must be carefully collected, analyzed and interpreted.
Materials: Various circular objects, string, meter stick (and do not use a calculator!)
- Measure the diameter of one of the circular objects.
Record the number in your data table
(Watch the meter stick precision: Measurements should be recorded to millimeters, zeros are important too.)
- Use the string to measure the circumference of the circular object.
Then measure the string with the meter stick, and record the value in the data table
- Continue until you have filled in your entire data table.
(2 points guarantees a straight line, you need at least 8 data points for most labs)
- Clean up any string, return it to the designated area, make sure all data is recorded.
- Create a graph of Circumference (y axis) and Diameter (x axis) using LoggerPro.
- Find the slope of the line using Graphical Analysis.
- Interpret the slope qualitatively: tell me what the slope represents. This should be written on the face of the graph, in a text box.
- Perform a percent error calculation:
(Accepted – experimental) x 100%
9. Write the equation of the line with: name of the quantities and units on the x and y axis.