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Chapter 7: Circular Motion and Gravitation

Chapter 7: Circular Motion and Gravitation. OVERVIEW. CIRCULAR MOTION NEWTON’S LAW of UNIVERSAL GRAVITATION MOTION IN SPACE TORQUE AND SIMPLE MACHINES. Circular Motion. Two concepts Centripetal Acceleration Centripetal Force. Centripetal Acceleration.

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Chapter 7: Circular Motion and Gravitation

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  1. Chapter 7:Circular Motion and Gravitation

  2. OVERVIEW CIRCULAR MOTION NEWTON’S LAW of UNIVERSAL GRAVITATION MOTION IN SPACE TORQUE AND SIMPLE MACHINES
  3. Circular Motion Two concepts Centripetal Acceleration Centripetal Force
  4. Centripetal Acceleration Centripetal acceleration is due to a change in direction. When you are going in a circle you are always accelerating. To calculate you need to know the tangential speed and the radius of the circular path
  5. Sample Problem If a test car is moving around a track that has a radius of 48.2 meters and a tangential speed of 19.7 m/s what is its centripetal acceleration? If a girl is swinging on a tire swing and the length of the rope is 2.1 meters and the tangential speed is 2.5 m/s what is the centripetal acceleration?
  6. Homework Problems A young boy is swinging a yoyo parallel to the ground and above his head. If the string is 0.5 meters long and the tangential speed is 11 m/s what is the centripetal acceleration. A dog sits 1.5 meters from the center of a merry-go-ground. The merry-go-round is set in motion and the dogs tangential speed is 1.5 m/s what is the dog’s centripetal acceleration? Problem 4 on page 236.
  7. Centripetal Force Centripetal Force is the net force that is directed towards the center of an objects circular path. Equation Fc=mv^2/r
  8. Sample Problem A pilot is flying a small plane at 55.6 m/s in a circular path with a radius of 188.5 m. The planes mass is 1110 kg what is its centripetal force?
  9. Homework Problems Pg. 238 1-4
  10. Friday Physics Video Video
  11. Newton’s Law of Universal Gravitation Gravitation Force is the Force that causes an attraction between all objects. There is a gravitational force between all objects. Between people. Between cars Between you and Jupiter. Between you and the sun
  12. Equation for Gravitation All objects pull equally on one another. Equal opposite force law. Equation below will give you the force of gravity. G is the universal gravitation constant and is equal to 6.673 x 10^-11
  13. Sample Problem Find the distance between a 0.3 kg billiard and a 0.4 kg billiard ball if the magnitude of the gravitational force between them is 8.92 x 10^-11 N. Homework pg.242 problems 1-3
  14. Motion In Space Kepler’s Laws Weight and Weightlessness
  15. Kepler’s Three Laws of Planetary Motion First Law: Each planet travels in an elliptical orbit around the sun and the sun is at one of the focal points. Second Law: An imaginary line drawn from the sun to any planet sweeps out equal areas in equal time intervals. The square of a planet’s orbital period (T^2) is proportional to the cube of the average distance (r^3) between the planet and the sun.
  16. First Law
  17. Second Law
  18. Review Kepler’s First Law Kepler’s Second Law
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