Angular and Linear Velocity

Converting from angular to linear velocity

  • Angular velocity(ω, "omega") - the rate sometihng rotates about an axis
    • degrees/second, rad/second, revolutions/minute (rpm)
  • Linear velocity (v) - the rate something is dispalced (moves)
    • kilometers/hour, meters/second, feet/second
  • For each rotation of a cylinder, it moves a distance equal to its circumference
    • Circumference = distance/revolution = πD
    • Therefore linear velocity is the rotation rate times circumference
    • v = ωπD