PHYS 213 – Concepts and Equations
Chapter 8 – Circular Motion and Gravitation


Circular Motion

  • Tangential acceleration: Meaning, and uniform vs non-uniform circular motion.
  • Centripetal acceleration: Concept, and relationship with speed, aR = v2/r.
  • Frequency and period: Concepts, and relationships between them and with speed,

f = 1/T ,     v = 2r/T .

Gravitation

  • Newton's law of gravitation: General form of the force of gravity,

FG = G m1m2/r2 .

  • Near Earth's surface: Relating Newton's law of gravitation with FG = mg.
  • Gravity in space: Is it zero in an orbiting spacecraft? Why are astronauts "weightless"?
  • Gravitational potential energy: In general, not necessarily close to the Earth's surface,

PEG = –G m1m2/r .

Solving Problems

  • String tensions and normal forces: Finding how they vary in vertical circular motion.
  • Highway curves: Using friction in connection with radial acceleration.
  • Gravity: Using vectors to calculate the force of gravity due to various objects.
  • Satellite motion: Relating the period of its orbit to the orbit radius and the Earth's mass.

(* Website by Luca Bombelli <bombelli"at"olemiss.edu>; Content of this page last modified on 3 dec 2006 *)