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Banked Curves: The Physics Behind Highway Exit Ramps

Understand the science of banked curves on highway exit ramps to increase centripetal force for higher exit speed. Explore how satellites in circular orbits and synchronous satellites work, including the orbital speed of the Hubble Space Telescope and GPS technology.

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Banked Curves: The Physics Behind Highway Exit Ramps

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  1. C H A P T E R   5Dynamics of Uniform Circular Motion

  2. 5.4 Banked Curves

  3. 5.4 Banked Curves Why exit ramps in highways are banked?

  4. 5.4 Banked Curves Q: Why exit ramps in highways are banked?

  5. 5.4 Banked Curves Q: Why exit ramps in highways are banked? A: To increase the centripetal force for the higher exit speed.

  6. 5.4 Banked Curves Why exit ramps in highways are banked? FN cosq = mg

  7. 5.4 Banked Curves Why exit ramps in highways are banked? FN cosq = mg

  8. 5.5 Satellites in Circular Orbits

  9. 5.5 Satellites in Circular Orbits

  10. 5.5 Satellites in Circular Orbits

  11. Orbital Speed of the Hubble Space Telescope Determine the speed of the Hubble Space Telescope orbiting at a height of 598 km above the earth’s surface.

  12. Global Positioning System (GPS)

  13. Global Positioning System (GPS) A network of 24 satellites, which can be used to determine the position of an object to within 15 m or less.

  14. Global Positioning System (GPS) A network of 24 satellites, which can be used to determine the position of an object to within 15 m or less.

  15. Synchronous Satellites

  16. Synchronous Satellites These satellites move around their orbits in a way that is synchronized with the rotation of the earth.

  17. Synchronous Satellites These satellites move around their orbits in a way that is synchronized with the rotation of the earth. A synchronous satellite orbits the earth once per day on a circular path that lies in the plane of the equator.

  18. Synchronous Satellites These satellites move around their orbits in a way that is synchronized with the rotation of the earth. A synchronous satellite orbits the earth once per day on a circular path that lies in the plane of the equator.

  19. Synchronous Satellites These satellites move around their orbits in a way that is synchronized with the rotation of the earth. A synchronous satellite orbits the earth once per day on a circular path that lies in the plane of the equator. Digital satellite system television uses such satellites as relay stations for TV signals

  20. 5.6 Apparent Weightlessness

  21. 5.6 Apparent Weightlessness Figure 5.18 shows a person on a scale in a freely falling elevator and in a satellite in a circular orbit. In each case, what apparent weight is recorded by the scale?

  22. 5.6 Apparent Weightlessness Figure 5.18 shows a person on a scale in a freely falling elevator and in a satellite in a circular orbit. In each case, what apparent weight is recorded by the scale? Answer: 0

  23. As she orbits the earth, this NASA astronaut floats around in a state of apparent weightlessness.

  24. Artifical Gravity

  25. 5.7 Vertical Circular Motion

  26. 5.7 Vertical Circular Motion

  27. 5.7 Vertical Circular Motion

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