Circular motion

• Angular displacement:

  Arc length = rѲ 
• Angular speed:

  $w =$$2π/T$

  $w =$$2πf$
• Linear velocity:

  $v=$$rw$

  $v =$$2πr/T$
• Acceleration:

  $a=$$w^2r$

  $a=$$v^2/r$
• Newton's law:

  $F=$$ma$

  $F=$$mv^2/r$

  $F=$$mrw^2$
• Motion in a vertical circle:

  centripetal foce = resultant force