Objectives - phys161

chapter 7

Vocabulary

Average Angular Acceleration, Angular Displacement, Angular Position, Average Angular Speed, Average Angular Velocity, Centrifugal, Centripetal, Instantaneous Angular Acceleration, Instantaneous Angular Speed, Instantaneous Angular Velocity, Non-Uniform Circular Motion, Period, Radial, Tangential, Uniform Circular Motion, Orbit.

Objectives. At this point in the course, the student should

1. Be comfortable with polar coordinates and cylindrical coordinates. As a specific application of this comfort, the student should be able to determine the length of a circular arc if the subtended angle is known.
2. Be able to convert between cylindrical (or polar) coordinates and Cartesian coordinates at will.
3. Be able to relate the tangential velocity of an object in circular motion to its angular velocity.
4. Be able to relate the tangential acceleration of an object in circular motion to its angular acceleration.
5. Be able to determine the acceleration (and hence the net force) necessary to keep a given object on a circular arc, given sufficient information.
6. Know the SI units in which any of the "dimensionful" quantities in the vocabulary section above are measured.
7. Understand the details of uniform circular motion. Specifically, the student should be able to explain the relationship between the velocity and acceleration vectors for an object undergoing uniform circular motion (qualitatively and quantitatively, magnitude and direction).
8. Be comfortable with rotational kinematics in two dimensions. It should be possible for the student to communicate this comfort both algebraically and graphically.
9. Be able to apply the principles of uniform circular motion to satellites in circular orbits.
10. Be able to use chain rules as appropriate to take derivatives of nested expressions.
11. Be able to determine, quantitatively, the fictitious forces present in any Non-Inertial Reference Frame.