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Excelsior University *

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202L

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Physics

Date

Dec 6, 2023

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docx

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3

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One of the conditions for Uniform Circular Motion is that the acceleration be centripetal and directed toward the center of motion. What would the effect be of a non-zero acceleration parallel to the tangential velocity? Due to the fact that one of the conditions for Uniform Circular Motion is that the acceleration be centripetal and directed toward the center of motion, thismeans that the acceleration vector must be perpendicular to the velocity vector at all times. If there is a non-zero acceleration parallel to the tangential velocity, then the motion is no longer circular, but rather a combination of circular and linear motion. The object will move along a curved path, but the path will not be a perfect circle. The object will also experience a change in speed as it moves along the curved path. The tangential acceleration is responsible for this change in speed. Discuss your results for part II, the power law investigation, a c = r ω m . For the setup that we had I started with the setup instructed
I got the following results for the investigation into the power law. As I increased my angular speed the centripetal acceleration also increased but exponentially with a slope of 2.000035 as calculated in excel. This confirmed that using power law, with constant r, ac and w are related with a power of 2. We can observe that the square of the change in angular speed results in a linear change in the centripetal acceleration. Centripetal Acceleration(ac ) Angular Speed (ω)(rad/s) Log (ac) Log(ω) 19.744 3.142 1.295435 142 0.497206 181 24.374 3.491 1.386926 807 0.542949 849 29.491 3.84 1.469689 499 0.584331 224 35.095 4.189 1.545245 247 0.622110 36 41.187 4.538 1.614760 16 0.656864 492
ReferencePhET Interactive Simulations. (2015, Dec 9). Ladybug Revolution.Retrieved from https://phet.colorado.edu/sims/cheerpj/rotation/latest/rotation.html? simulation=rotation
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