\fCentripetal Motion Lab - Virtual Purpose - To verify the main centripetal motion equation is valid: Live Class Set-up (Unfortunately we need to use a simulation) F. = mac H - Low Friction Hollow Plastic Tube I' - Radius (center tube to center of rubber stoppers) 4 1 r F. = m Tu T2 m - Rubber Stoppers 4 x- r Mg= m T -Tension T2 m g - Force of Gravity on Rubber Stoppers VT? = mr M - Brass Masses (Mg) T =21 Vm Vr Fc = M g - Force of Gravity on Brass Masses provides centripetal V(Mg) Written in the form y = m x + b which has a y-intercept of O and slope 2rt. T =2 1 Vm Vr +0 V(M g) Therefore, we need to verify period T varies with the root of the rubber stopper masses m, root of the circle radius I and inversely with the root of centripetal force Fe = M g. Instead of setting up the lab as shown above we can use a simulator found at: https://www.physicsclassroom.com/Physics-Interactives/Circular-and-Satellite-Motion/Horizontal-Circle-Simulation/Interactive Tension . 59AN Donate 30 0M Show acceleration Show dimension Show values Show forces on object -.with component Freeze to side view -.and force labels Period = 1.315 6 Froze to top view Show only the net force Ball on a string moving in a horizontal circle Ball, or car, moving on a horizontal banked track without nodding friction Airplane flying in a horizontal circle View Angle = 10 degrees 30 0 M Radius = 0.250 m Mugs - 3.0 kg g = 10/20 mig" L=0215 m Spend = 2.00 mis equations Simulation Setup Ensure the four checkboxes are enabled as shown above. Set the view angle to 10", radius to 0.25 m, mass to 3.0 kg, g to 10 m/s], speed to 2.00 m/s. Now vary complete the data table below - preferably in a spreadsheet application program such as Google Sheets or Microsoft Excel.Data Collection (vary m, r and v (which changes the Fc) to see if they affect period T as shown above. Part & Trial speed Force radius mass time for 5 Period Vm vr cycles v (m/s) Fc (N) r (m) m (kg) T(s) VF. t (s) T = t/5 Al - vary Force 1.2 0.20 3.0 by varying the speed AZ 1.6 0.20 3.0 A3 2.0 48.0 0.20 3.0 13.61 2.714 0.208 2.4 0.20 3.0 AS 2.8 0.20 3.0 81 - vary radius | 2.0 0.15 3.0 B2 2.0 0.17 3.0 BE 2.0 0.20 3.0 B4 2.0 0.27 3.0 85 2.0 0.25 3.0 C1 - vary mass 2.0 0.20 1.0 -2 -2 stoppers 2.0 0.20 2.0 23-3 stoppers 2.0 0.20 3.0 C4 -4 stoppers 2.0 0.20 4.0 C5 -5 stoppers 2.0 0.20 5.0 Show sample calculations for a random row of data in the table above (Do not choose row A3 since I already did that one). Which row did you choose? Show how to calculate the period T (s) and the root m root r / root Fc (s) - the last two columns of your chosen row. Make for plots to verify the relationships: #1 Tvs Fc using Part A data, #2 Tvs m using Part B data, #3 Tvs r using Part C data and finally #4 T vs Vm VF VF using all of the data. Calculate four percentage errors from the lab plots. Compare the 3 exponents from the first three plots and then the slope from the last plot. Also make a comment on the y-intercept of the last plot. Below are some sample plots. T vs Force Mg - Part A Tvsr - part B T vs m - part C T vs root (m, r / F) - all Parts Twr Tmm : 1.2143x FINEN power trend ine want -0.5 exponent power trendline want +0.5 exponent power trendline want +0.5 exponent linear trendline want slope 2n and y Inercept of 0