Syllabus Points — Motion in a Circle

12.1 Kinematics of uniform circular motion

1. define the radian and express angular displacement in radians
2. understand and use the concept of angular speed
3. recall and use $\omega = 2\pi / T$ and $v = r\omega$

12.2 Centripetal acceleration

1. understand that a force of constant magnitude that is always perpendicular to the direction of motion causes centripetal acceleration
2. understand that centripetal acceleration causes circular motion with a constant angular speed
3. recall and use $a = r\omega^2$ and $a = v^2 / r$
4. recall and use $F = mr\omega^2$ and $F = mv^2 / r$