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Uniform Circular Motion

Uniform Circular Motion. 4 minutes. 3 minutes. 2 minutes. 1 minutes. 30 seconds. Cycle, Period (T), and Frequency ( f ). 15 seconds. TIME’S UP!!!. Natural Rhythms Activity. Basic Definitions. How are T and f related? Inversely (1/T = f )

sarah-fitzgerald
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Uniform Circular Motion

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  1. Uniform Circular Motion

  2. 4 minutes 3 minutes 2 minutes 1 minutes 30 seconds Cycle, Period (T), and Frequency (f) 15 seconds TIME’S UP!!! Natural Rhythms Activity

  3. Basic Definitions • How are T and f related? • Inversely (1/T = f) • An object with a frequency of 20 Hertz has a period of…. • 0.05 seconds

  4. Uniform Circular Motion: Observationscentripetal force • speed stays the same • velocity constantly changing • So there is acceleration that is NOT zero! definition: UCM refers to the motion of an object in a circle of fixed radius with a constant speed.

  5. Calculating Speed of Circular Motion d for a circle is the circumference (2 π r) so:

  6. Which bug is moving fastest? Why? r 3r

  7. r 3r • Greater circumference (distance traveled)  greater radius  greater speed

  8. Why is velocity tangent to the circle?

  9. Acceleration • Towards the center of the circle of motion • Why towards the center? • Acceleration is not zero!

  10. Law of inertia...

  11. With a pull towards the center, an object in motion will be accelerated and change its direction. Without a pull towards the center, an object in motion continues along a straight-line path.

  12. Centripetal Force • An object’s natural path is a straight line (inertia) • Therefore to pull an object out of its natural path a net force must be present, towards the center of the circle • Acceleration is NOT zero, so F cannot be zero • The force maintains the circle (whether the circle is complete or partial) • Where does the force originate? • could be any of typical forces (weight, tension, normal, applied, or friction) or a combination of those • Called the Centripetal (center seeking)Force – Fc

  13. What is the equation for centripetal force?

  14. Practice • A 2.0 kg mass attached to a 1.5 m cord is swung at 8.0 m/s. What is the magnitude of the Fc acting on the mass? (2)(82)/1.5 = 85 N

  15. CentriFugal Force: The False Force – it’s only a feeling, not an actual force Anti-gravity machine simulation Video disk: barrel ride

  16. Examples of Fc

  17. Examples of Fc

  18. Examples of Fc

  19. Examples of Fc

  20. Examples of Fc

  21. video re-cap

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