Uniform Circular Motion

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Temple University *

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1021

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Physics

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Jan 9, 2024

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Uploaded by ProfessorSnow18399

Uniform Circular Motion Questions Question 1. What force or forces are acting on the cube as it rotates in a circle at constant speed? Draw a free body diagram for the cube as seen from the side. On your diagram, indicate the direction of the force(s) acting on the cube. Question 2. How can the hypothesis for this lab be tested experimentally? In a few sentences, describe at least one way to test the hypothesis experimentally by using the rough and smooth surfaces available on the turntable. The hypothesis can be tested by using a record disk and placing objects on opposite sides of it with one of the objects being directly placed on the record and the other being on top of a piece of high grit sandpaper that is taped to the disk. This will act as a smooth and rough surface. By turning the machine on, it will spin causing the different objects to fall off at different based on the friction that they are holding on to. Question 3 . When the cube falls off the edge of the turntable, which path will it take according to Newton’s 1st Law? Use the figure at right showing the top-down view of the turntable to select a path A through E. Consider the horizontal plane only (not vertical motion). It will go along path B as Newton's first law states that an object will continue a straight path unless acted on by another force. Question 4. Angle in radians is often an unfamiliar unit, so let’s gain more familiarity by looking at our graph of radians vs. time. About how many radians did your cube move through from start to finish of your tracking? Check for internal consistency: How many radians are there in a circle? Is the number you are reporting reasonable?

There are 2pi radians in a full circle which is about 6.283 radians which is equivalent to 360 degrees. Based on how many rotations that is needed for each of the objects to fall off (x) the radians would end up being (2pi)x. The cube moved about half of the circular disk which the disk is 6 radians, making the rotations about 3 radians in total. The number is reasonable because the object stayed on the disk for the rotation distance of about half before falling off which equivalated the distance of 3 radians. Question 5. What simplified expression did you obtain for the coefficient of friction? Does the expression depend on the mass of the cube? The simplified expression we obtained for the coefficient of friction is f = µN. The symbol µ is the symbol for the coefficient of friction in the equation and N is the normal force acting on the object with f being the force of friction. The expression does not depend on the mass of the cube because the mass because it is dependent on the coefficient of friction and the normal force of the object and is therefore independent of the mass of the object.

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