- Define how to measure and calculate changes in angular position (angular displacement) and the time derivatives angular velocity and angular acceleration
- Apply Newton's Laws of Motion to angular motion
- Use the equations of angular motion and demonstrate how they interact with each other
Describing angular position
Joint and segmental angles
Newton's Laws (applied to angular motion)
Equations of angular motion Connection of Linear and Angular Velocity:
v = w * r
- Every body continues in its state of rest, or of uniform angular motion, unless it is compelled to change that state by torques impressed upon it.
- The change of angular motion of an object is proportional to the torque impressed; and is made in the direction of the torque (T=Ia).
- To every action, there is always opposed an equal reaction: or the mutual actions of two bodies upon each other are always equal and directed to contrary parts.
The component of of linear acceleration tangent to the circular path of a point on a rotating object
aT = a * r
The linear acceleration directed toward the axis of rotation (Hammer throw)
ar = w 2 r
Angular Momentum H=Iw
Angular Inertia I=mk2