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Reading Guide – Chapter 6 Circular Motion, Orbits, and Gravity 6.1 Uniform Circular Motion 1. A particle moving in a circle has an acceleration even through it has constant speed because 2. How is the angular position of a particle measured? 3. How do you know if θ should be positive or negative? 4. What unit is θ measured in? 5. If you want to calculate the arc length (distance a particle travels along its circular path) in meters, how can you convert from radians to meters? 6. What is the conversion between revolutions, radians, and degrees? 7. Angular velocity is similar to linear velocity. What is the formula for angular velocity? 8. Angular velocity is __________________ for a particle moving with uniform circular motion 9. How do you determine if ω is positive or negative? 10. What can be determined from the slope of an angular position vs time graph? Do stop to think 6.1 6.2 Speed, Velocity, and Acceleration in Uniform Circular Motion 11. What is the relationship between linear velocity and angular velocity? 12. The acceleration we use with circular motion is centripetal acceleration. What is the formula for centripetal acceleration? What is the direction for centripetal acceleration always? Do stop to think 6.2 6.3 Dynamics of Uniform Circular Motion 13. What is the net force acting on a particle traveling is a circle equal to? 14. Without the net force the particle would move how? 15. How can the maximum velocity be determined for a car going around an unbanked curve? Do stop to think 6.3 6.4 Apparent forces in Circular Motion 16. When traveling in a vertical circle like in a loop on a roller coaster, you feel heaviest when? You feel lightest when? 17. What occurs at critical speed? Do stop to think 6.4 6.5 Circular Orbits and Weightlessness 18. If the launch speed of a projectile is sufficiently large, there comes a point where the curve of the trajectory matches the ____________________________________________. In this case, the projectile falls but _____________________ _________________________________ 19. The projectile returns to the point from which it was launched, at the same speed at which it was launched, making it a closed trajectory. This is called an ______________________ 20. An orbiting projectile is in ________________________________ 21. Weightlessness does not occur from an absence of weight. It occurs why? 6.6 Newton’s Law of Gravity 22. State the formula for Newton’s Law of gravity 23. How does doubling the distance between two objects affect the force between them? Do stop to think 6.5 6.7 Gravity and Orbits 24. State the formula for the speed of a satellite 25. The square of the period of the orbit of a satellite is proportional to _______________________________________ Do stop to think 6.6