# Uniform Circular Motion Experiment

Purpose: Determine relationship between tangential velocity and Force (centripetal) and the relationship between radius and force (centripetal).

Experiments:

1)Hold radius and stopper mass constant - change number of washers.
Graph FORCE vs. VELOCITY.

2) Hold # of washers and stopper mass constant - change radius.

3) AP only - Hold # of washers and radius constant - change mass of stopper.
Graph MASS vs. VELOCITY

Data:

Mass of stopper (kg):
Average mass of one washer:
 Number of washers (kg) Time for 10 rotations 10+ trials
2) Constant # washers:
Mass of Stopper:
Average mass of one washer
 Radius (meters) Time for 10 rotations 10+ trials

1) . Graph of Force vs. Velocity
 Number of Washers Radius (m) Time for 10 Rev (sec) Period (T) = Time/10 (sec) Velocity= 2*Pi*r/T (m/s) Mass of Washers (# washers *mass of one washer) (kg) Force of washers(F = mg) (N)

1) Graph of Radius vs. Velocity
 Trial Radius (m) Time for 10 Revs (sec) Period (T)= Time/ 10 (sec) Velocity= 2*Pi*r/T (m/s) 10+ trials

Graph:
Google Drive: Data & Calculation Table and Graphs

Graphs:
Force vs. Velocity & Force vs. Velocity^2

Calculations:
1. Draw two force diagram - the stopper and the washers
2. Sample calculations for:
Average Period
Velocity
Average Mass of washers
Force of washers

3. Rewrite formula for graphs after you have a straight line. Don't forget units.

Questions:
1. What are the variables that were held constant for each experiment?
2. What is the independent and dependent variables for each experiment?

CONCLUSION
Purpose, results (include formulas of graphs), discussion (what do the slope, y-intercept and area under the curve mean - if anything) , 3 detailed errors. how to improve if had a chance to re-do.

 Rubric for Conclusion Purpose 2 Results -include relationship of 1st graph and formulas of 2nd graph from each set. 5 Discussion (what do the slope, y-intercept and area under the curve mean? 8 Errors 3 Improvement 2

Extra Data - Use this data if yours is completely awful

Directions:Use the following data to make Excel data tables and Graph.
Cut and paste data table and graph onto document with relationships and formulas (see below)

1.
 Force (N) Velocity (m/s) 0.15 1.22 0.3 1.73 0.45 2.12 0.6 2.45 0.75 2.74 0.9 3.00 1.05 3.24 1.2 3.46 1.35 3.67

a. Graph Force vs. Velocity
b. State the relationship, include best-fit curved line.
c. Graph Force vs. V^2
d. State the relationship, include best-fit straight line and re-write the formula to include units and symbols.

2.
 Mass (kg) velocity (m/s) 0.1 2.00 0.2 1.41 0.35 1.07 0.5 0.89 0.75 0.73

a. Graph Mass vs. Velocity^2
b. State the relationship, include best-fit curved line
c. Graph 1/mass vs. V^2
d. State the relationship and write the formula, include best-fit straight line

3.
 Radius (m) velocity (m/s) 0.1 1.58 0.15 1.94 0.2 2.24 0.3 2.74 0.4 3.16 0.5 3.54 0.6 3.87