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Centrifugal force, banked corners, and gravity in space

Centrifugal force, banked corners, and gravity in space. 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

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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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