Angular Kinematics
- 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)
- 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.
Equations of angular motion
Connection of Linear and Angular Velocity:
v = w * r (Golf example)
Tangential Acceleration: The component of of linear acceleration tangent to the circular path of a point on a rotating object
aT = a * r
Centripetal Acceleration: The linear acceleration directed toward the axis of rotation (Hammer throw)
ar = w 2 r
Angular Momentum
H=Iw
Angular Inertia
I=mk2
Ice-skating spin
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