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. Graph RADIUS vs. VELOCITY.

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


 * Data:**

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


 * Computer Spreadsheet:**

1) . Graph of Force vs. Velocity (F = mg) (//N)// ||
 * 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

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 ||  ||   ||   ||   ||

Google Drive: Data & Calculation Table and Graphs
 * Graph**:

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

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

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

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

__**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) Submit on Google Docs.


 * 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  ||
 * 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 ||
 * 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 ||

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