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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

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

    • (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)


Centrifugal force banked corners and gravity in space

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


Centrifugal force banked corners and gravity in space

Whiteboards:

Banked Corners

1 | 2 | 3

TOC


Centrifugal force banked corners and gravity in space

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


Centrifugal force banked corners and gravity in space

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


Centrifugal force banked corners and gravity in space

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


Centrifugal force banked corners and gravity in space

Gravity in space maybe. What should be the bank angle to go 45. m/s (101 mph) around it?

Movie 2001: a Space Odyssey

Space station

Humans need gravity

Calculate tangential v if r - 500 m

Show the centrifuge