(1 point)
Title of the Experiment: Uniform Circular Motion
Student’s name:
Section SLN: PHY122
TA’s Name: Wayne Christenson
Week of the experiment: Week 5 1 Objectives: (3 points)
During this lab, the relationship between mass, velocity, radius and centripetal force in circular
motion will be examined as well as investigate the behavior of friction in circular motion. Experimental Data (3 points): Insert experimental graphs and obtain from the graphs all the
experimental data that will be used for further calculations in Data Analysis. Part 1a. Force vs Mass
Radius = _0.1 m______
Speed = __0.473 m/s__
From Graph of F vs. m : Slope ± slope = ____2.216 +/- 0.0037 m/s2____ Part 1b . Force vs velocity
Radius = __0.1m________
Mass (kg) = _0.1804 kg___
From Graph of F vs. v2 : Slope ± slope = ____1.791 +/- 0.0006 m/s2___
2 Part 1c: Force vs Radius
Cylinder Mass =__0.1804 kg___
Speed = __0.423_____
From Graph of F vs. 1/r: Slope ± slope = ____0.03246 +/- 0.0045 m/s2___ 3 Part 2. Coefficient of static friction
Mean : __0.0587_______ Standard Deviation ( ): __0.001084____ 4 **Include GRAPHS and TABLES for all parts which display experimental data (slope and/or
statistics ; use print screen option) Data Analysis (10 points)
Part 1a.
Calculate the theoretical value of the ratio v2/r using equation (1) from the lab manual. What is
the experimental value of the ratio v2/r based on your graph from part a? Calculate the percent
error between the theoretical value and your experimental value for the ratio v2/r.
Theoretical value = v2/r = (0.473)2 / 0.1m = 2.237 m/s2
Experimental value = 2.216 m/s2
% Discrepancy = |exp-theory|/theory = |2.216-2.237| / 2.237 *100 = 0.94%
Part 1b.
Calculate the theoretical value of the ratio m/r using equation (1) from the lab manual. What is
the experimental value of the ratio m/r based on your graph from part a? Calculate the percent
error between the theoretical value and your experimental value for the ratio m/r.
Theoretical value = m/r = 0.1804 kg/.1m = 1.804 m/s2
5 Experimental value = 1.791 +/- 0.0006 m/s2
% Discrepancy = |exp-theory|/ theory = |1.791-1.804|/1.804 x100 = 0.72% Part 1c.
Calculate the theoretical value of the product mv2 using equation (1) from the lab manual. What
is the experimental value of the product mv2 based on your graph from part a? Calculate the
percent error between the theoretical value and your experimental value for the product mv2.
Theoretical Value = mv2= 0.1804(.423)2= 0.03228 m/s2
Experimental value = 0.03246 +/- 0.00045 m/s2
% Discrepancy = |exp- theory| / theory = |0.03246- 0.03228|/0.03228 x 100 = 0.56% Part 2:
Calculate the average maximum tangential velocity for an object moving in a circle of radius
5cm.
v2/ 9.81(r) = (0.1685)2 / (9.81*.05) = 0.058 Results (3 points)
State all values in the table with the correct number of significant figures and appropriate
units!
Part 1. Experimental (units) Theoretical (units) Discrepancy (%)
6 v2/r
m/r
mv2
Part 2.
μs ± Δμs =
Discussion and Conclusion (10 points):
Follow the general directions given in the Syllabus and describing how the Discussion and
Conclusion section should be composed. In particular explain how the values of the coefficients
of the kinetic and static friction compare to each other; what does the frictional force depend on,
explain the nature of the frictional forces, also explain the reasons for discrepancies between
your experimental and theoretical results).
Include in your discussion answers to the following questions: Why is the uniform circular
motion considered to be accelerated motion, if the object moves with constant tangential speed?
What is the relationship between the directions of the tangential velocity and centripetal
acceleration? If the speed increases by a factor of three, how much does the centripetal
acceleration changes.
In each of the experiment in part 1, How well the experimental coefficient of the proportionality
compared to its theoretical value?
Based on the percent discrepancies, are all the results accurate? Explain why or why not. Does
the coefficient of static friction depend on the tangential speed of the record? Does it depend on
the radius? Give an example from real life when static friction plays the role of centripetal force.
Has the objective of the lab been met? 7

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