Advanced/Notes 8.1
- 2. Angular Quantities How do I define angular quantities?
- 3. Rotational Motion Purely rotational : all points on the object move in circles The circle moves around an axis of rotation
- 5. Radian Review Radian: The angle subtended by an arc whose angle length is equal to the radius (?!) 1 revolution = 360° = 2π radians A bike wheel rotates 4.50 revolutions. How many radians has it rotated?
- 6. Example A particular bird’s eye can just distinguish objects that subtend an angle no smaller than 3 x 10-4 rad. (a) How many degrees is this? (b) How small an object can the bird just distinguish when flying at a height of 100m?
- 9. Relating Angular and Linear Velocity
- 10. Relating Angular and Linear Velocity Objects farther from the axis of rotation will move faster
- 12. Without Slipping Must have static friction between the rolling object and the surface Tangential accelerations and velocities must be the same ◦ # 13 on HW
- 13. Relating Linear and Rotational Quantities
- 14. Example A carousel is initially at rest. At t = 0, it is given a constant angular acceleration α = 0.060 rad/s2, which increases its angular velocity for 8.0 s. At t = 8.0 s, determine the following quantities: a) The angular velocity of the carousel b) The linear velocity of a child located 2.5 m from the center, P c) The tangential (linear) acceleration of that child d) The centripetal acceleration of the child e) The total linear acceleration of the child
- 15. Timing Review
- 16. Homework Read Section 8.1 Do Problems # 1, 3 – 8, 12, 13 on page 219