Question

II: OBSERVATIONAL EXPERIMENT: ACCELERATION IN CIRCULAR MOTION Rubrics you should use for The goal of this experiment is to identify patterns in factors which affect the acceleration of an object moving in a circle at constant speed. guidance: Available equipment: Computer with LoggerPro installed A9, B5, B8, G5 a) An experiment was conducted in which a dynamics cart of mass 1kg was connected to a force probe fixed to the center of a rotating track by a string. As the track was spun, the reading on the force probe, the radius of the circular path the cart traveled, and the time it took the circle to make one complete revolution (called the period) were recorded. Multiple trials were done changing the radius and speed of the track and the following data were collected Mass of the Force 1/Radius Radius (m) Acceleration cart (kg) Period (5) Speed (m/s) reading (N) (m/s/s) 0 N/A 2 3 Trial # 1 1 1 0 1 1 1 6.28 1 2 1/2 3.14 4 1 3 1/3 2.10 1 4 1/4 1.57 5 6 1 4 1 3.14 7 1 9 1 2.10 8 1 16 1 1.57 b) Draw a force diagram for the cart. Which forces add to zero? What is the sum of the forces exerted on the cart? c) Come up with mathematical procedures for filling in the two missing columns of the data table. Write the completed data table on your whiteboard. d) Think of which variables can affect the acceleration of the cart. Should the acceleration be greater when the speed is greater? Should the acceleration be greater when the radius is smaller? Analyze the table to identify any patterns between the speed and the radius of the circle and the acceleration of the cart. (Use Newton's second law to determine the acceleration) For each pattern you find, identify the trials which can be used to support that trial and make a graph including the data from only those trials, Sketch these graphs on your whiteboard. Do the patterns you found make sense? e) Write a mathematical expression which describes each pattern you identified. Combine these patterns into a single mathematical expression for the magnitude of the acceleration of an object moving in a circle at a constant speed.

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