Graphing Round Objects
AP Physics
Lab 2 – Graphing Round Objects
Objective: Our objective for this lab is to discover what the relationship is between the diameter and the circumference of a round object.
Procedure:
• Gather the needed materials. A notebook, a pen, and 7 round objects, string, and a meter stick
• For each round object, take the string and rap it around the outer edge making sure you do not overlap
• Take the string that fit around the edge, measure it, and mark it as the object’s circumference
• Take the meter stick and measure the round object at any two points but making sure it goes through it center. Mark this reading as the diameter
• Plot the points on a graph with a respective scale. Circumference on the y-Axis, Diameter on the X-Axis
• Calculate the slope of the best fit line and then enter the data into Excel and make a CG graph
Data:
0.14 0.42
0.05 0.315
0.15 0.479
0.04 0.135
0.055 0.175
0.074 0.26
0.31 1
Sources of Error: Miscalculated slopes led to a faulty representation of the graph. This was corrected. The use of non-precise methods to obtain the data (Circumference and Diameter) may have to led to an imprecise graph and an improper value of Pi when C/D is calculated. Incorrect conversion of numbers and their units severely affected the outcome though this was corrected.
Conclusion: The relationship between the circumference and diameter of round objects is rather simple. The larger the diameter, the larger the circumference will be. However, they increase proportionately by a ratio of 3.14 or 22/7. This value is infamously known as the value Pi (π) and is the exact proportion between the circumference and diameter of any perfectly round object.
Links: http://www.inservice.ua.edu/asim/physdocs/Introduction%20to%20Graphing%202006.doc http://asae.frymulti.com/request.asp?JID=5&AID=23000&CID=min2007&T=2 http://sysdyn.clexchange.org/gsp98/GSP-VensimHelp.pdf http://literacy.kent.edu/illinois/discoverpi.pdf
Lab 2 – Graphing Round Objects
Objective: Our objective for this lab is to discover what the relationship is between the diameter and the circumference of a round object.
Procedure:
• Gather the needed materials. A notebook, a pen, and 7 round objects, string, and a meter stick
• For each round object, take the string and rap it around the outer edge making sure you do not overlap
• Take the string that fit around the edge, measure it, and mark it as the object’s circumference
• Take the meter stick and measure the round object at any two points but making sure it goes through it center. Mark this reading as the diameter
• Plot the points on a graph with a respective scale. Circumference on the y-Axis, Diameter on the X-Axis
• Calculate the slope of the best fit line and then enter the data into Excel and make a CG graph
Data:
0.14 0.42
0.05 0.315
0.15 0.479
0.04 0.135
0.055 0.175
0.074 0.26
0.31 1
Sources of Error: Miscalculated slopes led to a faulty representation of the graph. This was corrected. The use of non-precise methods to obtain the data (Circumference and Diameter) may have to led to an imprecise graph and an improper value of Pi when C/D is calculated. Incorrect conversion of numbers and their units severely affected the outcome though this was corrected.
Conclusion: The relationship between the circumference and diameter of round objects is rather simple. The larger the diameter, the larger the circumference will be. However, they increase proportionately by a ratio of 3.14 or 22/7. This value is infamously known as the value Pi (π) and is the exact proportion between the circumference and diameter of any perfectly round object.
Links: http://www.inservice.ua.edu/asim/physdocs/Introduction%20to%20Graphing%202006.doc http://asae.frymulti.com/request.asp?JID=5&AID=23000&CID=min2007&T=2 http://sysdyn.clexchange.org/gsp98/GSP-VensimHelp.pdf http://literacy.kent.edu/illinois/discoverpi.pdf
Links: http://www.inservice.ua.edu/asim/physdocs/Introduction%20to%20Graphing%202006.doc http://asae.frymulti.com/request.asp?JID=5&AID=23000&CID=min2007&T=2 http://sysdyn.clexchange.org/gsp98/GSP-VensimHelp.pdf http://literacy.kent.edu/illinois/discoverpi.pdf http://www.cohort.com/coplotgraphobjects.html