1. Rotational Motion Angular Measure (radian) Angular Speed and velocity
Centripetal Acceleration
Centripetal Force
Angular Acceleration

3. Angular measure y
x=r cos(q) r y
y=r sin(q) q x x

4. Angular measure s Q= r r s 2p radians = 360° 1.0 radian = 57.3°y
1.0 radian = 57.3° s Q=
radians r r s q x x

5. How far to the moon?
Early Greek scientists estimated that the earth’s diameter is 3.5 times larger than the moon’s.
If a penny covers up the moon when held 200 cm from your eye, How far is the moon from Earth? (the diameter of a penny is 1.9 cm)

6. Small angles
h≈ s & r ≈ x r s h q x
h/r ≈ s/r ≈ h/x
Sin q ≈ q ≈ tan q

7. Angular speed and velocity
Average angular speed

9. Linear speed and angular speedh q x

11. Linear speed and angular speedh q x
h/r ≈ s/r ≈ h/x
Sin q ≈ q ≈ tan q

12. Angular acceleration

13. Angular acceleration

14. Circular Motion (with constant a)

15. Circular Motion (constant a)

17. Kinetic Energy

24. d

29. Torque

32. a=?
T=?

33. T=? St = Ia TR = 1/2MR2 (a/R) a=? T= 1/2M a mg-T=ma mg- 1/2M a=ma
mg= (1/2M +m)a mg
(1/2M +m)
T= 1/2M a
SF=ma
mg-T=ma
a =

34. Work and Power