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On the Curves

On the Curves

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On the Curves

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  1. On the Curves Section 4.6

  2. Investigate: Part A Toy Car with String • What kept it moving in a circle? • What happened when you let go of the string? • Which way did the string pull?

  3. Investigate: Part A Car on Road • What keeps it moving in a circle? • Which way would it move if nothing keeps it moving in a circle?

  4. Investigate: Part A Car on Road • Vectors

  5. Investigate: Part B What happened as you spun the stopper faster? What happened as you made the string shorter? What happened when you added more mass?

  6. Investigate: Part C Fc = mv2/R Fc: Centripetal Force m: Mass v: Velocity R: Radius

  7. Investigate: Part C The gentler the curve, the _____ the force required to keep the car moving along the curve. If the curve is tight (R is very small) then a _____ is required

  8. Physics Talk Centripetal Force and Newton’s First Law Centripetal Force and Newton’s Second Law

  9. Physics Talk How to find acceleration of an object moving in a circle a = v2/R

  10. Physics Talk What keeps an object moving in a circle?

  11. Vocabulary Centripetal Force – a force directed towards the center that causes an object to follow a circular path.

  12. Vocabulary Centripetal Force: Practice A roller coaster car is traveling east at 20 m/s. After 16 s, it is traveling north at 20 m/s. The circular curve had a radius of 200 m. Calculate the acceleration of the car.

  13. Physics Talk Centripetal Force • When you held the string of the toy car? • When a roller coaster car is upright? • When a roller coaster car is tilted? • When a car is on the road?

  14. Physics Talk Centripetal Force • IT IS NOT AN ADDITIONAL FORCE!!!

  15. Physics Talk Centripetal Force

  16. Physics Talk Three Locations used for summarizing forced and weight Constant speed:

  17. Physics Talk Three Locations used for summarizing forced and weight Net force at bottom of loop:

  18. Physics Talk Three Locations used for summarizing forced and weight Net force at top of loop:

  19. Physics Talk Clothoid loop - a loop with a big radius at the bottom and a small radius at the top

  20. Physics Talk Clothoid loop: WHY?!

  21. Physics Talk SAFETY!!! What is the cutoff for “g’s”? WHY?!