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Centrifugal force, banked corners, and gravity in space

Understand the dynamics of centrifugal and centripetal forces in banked corners, including practical demonstrations like floating in jars and effects on objects in motion. Discover how gravity operates in space scenarios such as the movie 2001: A Space Odyssey. Solve equations for bank angles needed to navigate curves at various speeds. Explore the importance of gravity for humans in space through centrifuge calculations.

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Centrifugal force, banked corners, and gravity in space

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  1. Centrifugal force, banked corners, and gravity in space

  2. Centrifugal vs. Centripetal • Centripetal - toward the center. • Demo - float in jar - linear and centripetal accel • Centrifugal - away from the center • Things sliding to outside of car on corner • (accel forward, thrown back, accel middle, thrown outside) • Merry-go-round • Mud off bike tire • Water from salad in salad spinner • Sunglasses out the window and the F word. • (Perceived force - not real)

  3. Banked Corners The Force of the road - perp to surface Points in and up   tan() = ((mv2/r)/(mg))  = tan-1(v2/rg) mg - to hold it up mv2/r - to make it go around the corner

  4. Whiteboards: Banked Corners 1 | 2 | 3 TOC

  5. The on ramp from onto I-5 from Nyberg is 40. m in radius maybe. What should be the bank angle to go 27 m/s around it?  = tan-1(v2/rg), v = 27 m/s, r = 40. m, g = 9.8  = 62o W 62 degrees

  6. One of the Terwilliger curves has a radius of 270 m. What is the bank angle for cars to go 29 m/s around it  = tan-1(v2/rg), v = 29 m/s, r = 270. m, g = 9.8  = 18o W 18 degrees

  7. The on ramp from onto I-5 from Nyberg is 40. m in radius maybe. What should be the bank angle to go 45. m/s (101 mph) around it? What about 112. m/s (250 mph) around it? What does the angle approach?  = tan-1(v2/rg), v = 45 m/s or v = 112 m/s, r = 40. m, g = 9.8  = 79o, = 88o W 79 degrees and 88 degrees

  8. Gravity in space Movie 2001: a Space Odyssey Space station Humans need gravity Calculate tangential v if r - 500 m Show the centrifuge

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