c4 rot mot

• angular displacement (Δθ)

  Wo + 1/2at^2 , Δθ=θ2-θ1
• angular velocity (Δw)/Wo

  W=Δθ/Δt , W=Wo+ at
• Angular position , θ

  s/r
• 1 rev

  2π rad
• Angular acceleration

  ΔW/ΔT
• 1 rpm

  2π/60
• angular speed

  (rad = rpm x 2π/60 ) = W
• no of revolution , N

  rad/2π ( find rad using Wo + 1/2at^2 )
• angle , 90 deg


  rad x( 180/n)
• linear speed( all speed)

  V=Wr
• Final speed


  initial speed + (a)(t)
• tanginental speed


  r x a
• radial acceleration

  a=wr^2
• distance 


  s=vt
• centripetal acceleration

  ac=v^2/r
• translational acceleration

  at= v^2/r
• force


  m x a
• W^2

  Wo^2 + 2aΔθ
• total linear acceleration

  a =√ ta^2 + ac^2
• Time taken for one complete revolution


  T= (2 pi ) (r) / v
• tension , T

  mv^2 / r
• Minimum tension

  T min = mv^2/r + mg
• Maximum tension

  T max = Mv^2/r - mg
• reaction

  Na = ma+/- mg