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Circular Motion

Circular Motion. 2D Forces and Motion. Which is faster? The horse on the outside or the horse on the inside?. Merry-Go-Round. Same rotational speed for all animals on the Merry-Go-Round because they are attached rigidly. Animals further out have a greater linear speed. Rotational Speed.

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Circular Motion

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  1. Circular Motion 2D Forces and Motion

  2. Which is faster? The horse on the outside or the horse on the inside?

  3. Merry-Go-Round • Same rotational speed for all animals on the Merry-Go-Round because they are attached rigidly. • Animals further out have a greater linear speed.

  4. Rotational Speed • Also called • Angular Speed • Circular Speed • ω (lower case Omega Ω)

  5. Linear Speed (v) • Also called • Tangential Speed • v or vT

  6. Describe Earth’s motion using the words rotate, revolve, and axis. Axis: Straight line around which rotation takes place. Days on Earth. Rotation: Spin. Axis is located within the object. Days on Earth. Revolution: Object turns about an external axis. Earth years.

  7. Frequency vs. Period • Period (T)- The time it takes for one full rotation or revolution of an object in seconds. • Frequency (f)- The number or rotations or revolutions per unit time, measured in Hertz (Hz)

  8. Revolution Lab • Questions: • 1) How is radius related to revolution speed? • 2) What happens when you are spinning the stopper at a constant rate and then suddenly pull down on the string? Why does this happen? • 3) Does a spinning object accelerate? If so, what is the direction of acceleration? • Challenges: • 1) Spin a rubber stopper above your head at several different lengths to answer the question above. Do multiple trials. • 2) Graph your data to help find the mathematical relationship between radius and revolution speed.

  9. Tangential Speed

  10. How is radius related to revolution speed? In Uniform Circular Motion (fixed tangential speed), a larger radius will result in a smaller rotational speed.

  11. How is radius related to revolution speed? In Uniform Circular Motion (fixed tangential speed), a larger radius will result in a smaller rotational speed.

  12. Rotational Speed

  13. What happens when you are spinning the stopper at a constant rate and then suddenly pull down on the string? Why does this happen? It spirals in because you apply a constant force inward. You reduce the radius.

  14. what is the direction of acceleration of an object in uniform circular motion?

  15. what is the direction of acceleration of an object in uniform circular motion? There is a radial component of acceleration responsible for the constant direction change, and a tangential component of acceleration which results in an increase or decrease in tangential speed.

  16. Describe the path of the stopper IF you were to cut the string between the tube and the bottom weight

  17. Centripetal Force Fc • A force of some kind is required to maintain circular motion. Why? • Any force that causes an object to follow a circular path is called a centripetal force. • Centripetal means “center-seeking” • Always acts inwards

  18. Centripetal Acceleration ac Tangential Velocity Radius

  19. Centripetal Force

  20. The banked ramp exit • The goal is to design a banked ramp exit that drivers can round safely even on ice. • radius of curve is 50m • speed of cars- 13.4m/s • What should the angle of the bank be?

  21. The banked ramp exit FN FNy FNx Fg

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