Lab 2 Mercer Pre During Postg Q's

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American Public University *

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133

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Physics

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Jan 9, 2024

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4

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Pre-Lab Questions 1. In this lab, you will be rotating a mass on one side of a string that is balanced by a second mass on the other end of the string (Figure 5). Apply Newton's Second Law of Motion to mass 1, m 1 , and mass 2, m 2 , to solve for the period of mass 1. a. Hint: assume m 1 = 4 m 2 . How is the centripetal force on m 1 related to the force of gravity on m 2 ? 2. Draw a free body diagram and solve for the centripetal acceleration in terms of θ and g for one person riding on the amusement park ride in Figure 3. © eScience Labs, 2018 Figure 5: Rotating mass . Circular Motion
3. The around the world yo-yo trick is completed when you twirl a yo-yo in a vertical circle. If the yo-yo was in uniform circular motion, compare the force of tension at the top of the circle to the force of tension at the bottom of the circle. a. Hint : Drawing a free body diagram will be helpful. © eScience Labs, 2018 Tension is greater at the bottom of the circle. Circular Motion
Experiment 1: Balancing Centripetal Force Data Sheet Table 1. Rotational Data Radius (m ( Time per 15 revolutions (s ( Period (s ( Expected Value Percent Error (%) 0.25 0.40 0.15 Post-Lab Questions 1. Compare your measured data to your predicted values with a percent error calculation. Explain any differences with an error analysis. 3. How did the period of rotation vary as you changed the radius? © eScience Labs, 2018 6.71s 7.83s 5.04s 0.34s 0.41s 0.52s 0.502s 0.594s 0.388s 11.8% 12.5% 11.8% The percent error is higher than expected. I expected washer and line to start rotating as soon I started the rotation, but it took longer to get it going. I found myself trying to rotate faster or slower to make each length finish at the same time. It was almost like a competition. Using my phone as a timer was also a factor, starting the timer and while also starting the rotation at the same time was not possible. Getting the true time was difficult. The fishing line started stretching with each time I performed the experiment. These errors could fall under human error and systematic error. Mass of the object, velocity of the object, and radius of the curve. The amount of time the objects rotation increased as the radius increased. Circular Motion
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4. Draw a circle to represent the path taken by your rotating mass. Place a dot on the circle to represent your rotating washer. Add a straight line from the dot to the center of the circle, representing the radius of rotation (the string). Now label the direction of the tangential velocity and the centripetal force. 5. Refer to the picture in Figure 3 again (pictured below). Before the apparatus begins to spin the wires connecting the swings to the top of the structure will be completely vertical. Once the apparatus begins to spin the swings move outward radially, but also upwards vertically. From where does the force causing this vertical acceleration come? The amount of force on the chains will cause them to spread and that is what will cause the swings to become vertical. 6 . © eScience Labs, 2018 Figure 3: Swings at an amusement park exhibit a circular path of motion . Circular Motion

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