1. Circular Motion Uniform and Non-Uniform

2. Review Equations for Motion Along One Dimension

3. Review Motion Equations for Constant Acceleration 1. 2. 3. 4.

4. Review Acceleration in Uniform Circular Motion Velocity is always tangent to the path Acceleration is always perpendicular to velocity Acceleration is center seeking (Centripetal)

5. Review 3 Laws of Motion If in Equilibrium If not in equilibrium Change in Motion is Due to Force Force causes a change in acceleration!

6. Acceleration on a Curve

7. Acceleration on a Curve Car is always accelerating There must be a force acting on the car!

8. Force on a Curve Centripetal Force

9. Note: On Centrifugal Force There is no such thing as centrifugal force It is merely the action reaction pair of centripetal force.

10. Centrifugal Force Centrifugal force you feel in a turning car is just a result of your inertia trying to maintain a straight line of motion.

11. Example: Car on a curve A 1,500 kg car is rounding a curve with radius 35.0 m. If the coefficient of friction is 0.500 find the maximum speed the car can have without slipping.

12. Example: Car on a curve Max velocity is related to max acceleration is related to Centripetal force No slipping means Centripetal Force= Force of friction

13. Example: Car on a curve

14. Example: Car on a banked curve A civil engineer wishes to design a curved ramp in such a way that a car will not have to rely on friction to round the curve without skidding (in case of rain or ice). This is done by banking the curve (tilted towards one side). If the speed of the ramp is supposed to be 13.4 m/s, and the radius is 50.0m at what angle should the curve be banked?

15. Example: Car on a banked curve

18. Giancoli 5-22 A 1200 kg car rounds a curve of radius 67m banked at 12 o. If the car is travelling at 95 kph will a friction force be required? If so, how much and in what direction?

19. Vertical Uniform Circular Motion A passenger on a Ferris wheel weighs 750N. The wheel has a radius of 100 m and moves at constant speed of 10.5m/s. Find the apparent weight of the passenger at the top and at the bottom of the wheel.

20. Vertical Uniform Circular Motion At top At Bottom

21. Non- Uniform Circular Motion Radial acceleration – causes change in direction Tangential acceleration – causes change in speed

22. Artificial Gravity