1. Rotational Kinematics

2. Linear Motion Circular Motion
displacement
angular displacement (q)
angular velocity (w)
velocity
acceleration
angular acceleration (a)
(tangential)
torque (t)
force
mass
moment of inertia (I)
momentum
angular momentum (L)

3. Circular Motion
The time required to complete one revolution is called the period (T)
s = 2pr
v = 2pr / T
2p radians = 1 rev
= 2p / T
v = rw

4. Relationship between linear and rotational values
s = r q
v = r w
aT = r a

5. Linear to Rotational

6. Rotational Kinematics

7. What is the angular speed when 5 m of rope has been pulled from the wheel?
wo = 0
r = 0.25 m
= 1 rad/s2
s = 5.0 m