Vertical Circles Lab

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School

Virginia Tech *

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2205

Subject

Physics

Date

Dec 6, 2023

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docx

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3

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Vertical Circles Toby L. Asbury Title : Investigating Classic Circular Force and Circular Acceleration Introduction : Circular motion is a fundamental concept in physics, involving forces and accelerations that act perpendicular to the motion's velocity. This experiment aims to explore the physics behind Classic Circular Force and Circular Acceleration using simulations provided by the Physics Aviary. If I conduct various tests on the movement around vertical circles, then they will have directly proportional coefficients. Sources: http://www.studyphysics.ca/newnotes/20/unit02_circulargravitation/chp07_2d/lesson31.htm http://hyperphysics.phy-astr.gsu.edu/hbase/Mechanics/cirvert.html https://www.ux1.eiu.edu/~cfadd/1350/06CirMtn/VertCircle.html Materials: Physics Aviary sim Procedure: (a)Circular Acceleration Lab ( https://thephysicsaviary.com/Physics/Programs/Labs/ClassicCircularForceLab/ ) 1. Conduct various trials. 2. Start by experimenting with various radius amounts and speeds. 3. Set the radius to the smallest setting possible. 4. Set speed to the highest setting. 5. Now observe the acceleration and speed as you mark them down in the data table below. 6. Write down the time it takes to travel one full rotation. 7. Extend the radius to the next highest gray ring with speed as a constant. 8. Observe and write them down in the data table below. 9. Record observations on the differences.
(b)Classic Circular Force Lab ( https://thephysicsaviary.com/Physics/Programs/Labs/CircularAcceleration/ ) 1. Conduct various trials. 2. Start by experimenting with various masses and grams. 3. Notice the various differences as you change the washers and the moving mass. 4. Set the moving mass to 250g. 5. Start by adding 5 washers. 6. Then click begin and determine the total time taken for one full rotation. 7. Record these observations in the data table below. 8. Conduct multiple trials adding more washers at a time and record observations in the data table below. 9. Record observations on the differences. Data: Principles used: Fnet = ma F2 = ma2 Fc = 4π^2mf^2r Table (a) Speed (m/s) Acceleration (m/s/s) Time (s) Ring 1 5.9 6.8 5.39 Ring 2 5.9 2.9 10.7 (a)As the radius decreases, the acceleration increases. This is a relationship that proves that as the radius decreases, the time taken for that distance is greatly reduced. This is a 1:2 ratio in the data chart. When the radius doubled, the time did as well, therefore, proving my statement. Table (b) Radius (cm) Time (s) 5 Washers 100 6.3 9 Washers 100 5.3 12 Washers 100 4.3 16 Washers 100 3.3 22 Washers 100 2.3 (b)As the radius is a constant, time decreases as weight increases. This proves that equal weights are directly proportional to the time it takes to travel the distance. The distance time is shortened when the masses are closer to equilibrium. Conclusion:
One of the primary focuses of our study was the centripetal force required to keep an object in uniform circular motion. As the object moved through the vertical circle, we observed that tension in the string played a pivotal role in supplying this centripetal force. The tension is adjusted dynamically to counteract both gravitational forces and maintain the circular trajectory. Analyzing the tension variations provided valuable insights into the changing dynamics of the system. Gravity, a ubiquitous force, significantly influences the motion in vertical circles. As the object ascended and descended, the gravitational force either worked in conjunction with or opposed the tension force. This interaction became particularly apparent when comparing the behavior at the top and bottom of the vertical circle. At the top, tension, and gravity acted in the same direction, while at the bottom, they worked in opposition. This stark contrast highlighted the crucial role gravity played in shaping the characteristics of vertical circular motion.
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