FrictionCircleLab

Investigation 3 toc

How is the maximum velocity keeping a car moving in a horizontal circle dependent on: A) the radius of an unbanked turn, B) the radius of a banked turn, and C) the banking angle?

=Part A=
 * A. What is the relationship between the maximum velocity of a car rounding an unbanked turn and the radius of the turn?**

Allison Erica ||= ||= As seen on the graph below, the relationship between velocity and maximum radius is a direct square. This theory is validated by the curvature and explanation on the graph to the left. ||
 * = **Group** ||= **Graph** ||= **Relationship** ||
 * = List your names here ||= Insert a picture of your graph here ||= Describe the type of relationship shown here. ||
 * = Jae, Danielle, Jessica ||= [[image:graph1.18jt.png width="482" height="267"]] ||= This graph shows a direct squared relationship between velocity and radius. This can be seen because of the upward curve that is shown in this graph. ||
 * = Rebecca, Niki, Alyssa ||= [[image:wooohoooofakladfsljkfads.png width="495" height="329"]] ||= Our graph received from testing the relationship between the velocity and the radius is a direct squared relationship. Our equation and the curve of the graph prove that relationship. ||
 * = Chloe, Steve, Andrew, Justin ||= [[image:JT_Graph.png width="632" height="425"]] ||= We investigated the relationship between radius and velocity around an unbanked turn. Our results indicate that velocity varies directly with the square root of radius. ||
 * = Roshni

=PART B=
 * B. What is the relationship between the maximum velocity of a car rounding a banked turn and the radius of the turn?**


 * = **Group** ||= **Graph** ||= **Relationship** ||
 * = Emily, Elena, Amanda, Emily ||= [[image:bankedanglegraph2.png width="606" height="503"]] ||= The relationship between radius and velocity in this graph supports our hypothesis that as the velocity increases, the radius decreases. The equation displayed by the graph should be R = c*v^2, however the line that best fits our graph is R=c*v^-2. ||
 * = Eric, Sean, Phil, Chris ||= [[image:Banana_Pancakes.png]] ||= Using the relationship, F=v^2/r, we hypothesized that the values of v vs r should be a binomial value, which it was. Also, we had figured out during the lab that as the velocity increases, the radius should decrease. This is all shown by our lab information. ||
 * = Ryan, Evan, Sam ||= [[image:Picture_1dofnsoidnf.png width="800" height="545"]] ||= As the velocity increases, the radius will decrease. The equation of the line displayed on the graph is R=c*v^2 with R representing radius and v representing velocity. ||

=PART C=
 * C. What is the relationship between the banking angle of a roadway and the radius of the turn?**
 * = **Group** ||= **Graph** ||= **Relationship** ||
 * = List your names here ||= Insert a picture of your graph here ||= Describe the type of relationship shown here. ||
 * = Anthony, Aaron, Jimmy, Navin ||= [[image:Colors_are_jimmys_friends.png width="480" height="316"]] ||= The relationship between the banking angle and radius is a direct one, when the angle is increased the radius is increased also. ||
 * = Nicole, Jillian, Spencer, Dylan ||= [[image:graph_of_banking_angle_finally_airughaieugnm.png]] ||= The banking angle and radius are inversely proportional, when the angle increases, the radius decreases. ||
 * =  ||= [[image:Screen_shot_2011-01-20_at_11.52.00_PM.png width="640" height="432"]] ||= The banking angle and radius are inversely proportional because as the banking angle increases, the radius decreases. ||

=Coefficient of Static Friction (penny)=


 * Object || Max Angle w/out Sliding 1 Degrees || Max Angle w/out Sliding 2 Degrees || Max Angle w/out Sliding 3 Degrees || Max Angle w/out Slding 4 Degrees || Max Angle w/out Sliding 5 Degrees || Max Angle Avg || mass (kg) || weight (N) || ø radians || sinø || friction (N) || cosø || Normal (N) || µk ||
 * Wooden Block || 46 || 43 || 39 || 48 || 46 || 44.4 || 0.0025 || 0.0245 || 0.77453 || 0.69938 || 0.01713 || 0.71475 || 0.01751 || 0.97850 ||
 * Wooden Circular Block || 48 || 48 || 47 || 46 || 50 || 47.8 || 0.0025 || 0.0245 || 0.83384 || 0.74052 || 0.01814 || 0.67203 || 0.01646 || 1.10191 ||



1.10191
 * What is the coefficient of static friction between the pressboard circle and a penny?**

0.97850
 * What is the coefficient of static friction between the wooden angle and a penny?**