Angular motion

• 2 𝛑 radians in full circle
• $\theta$ 


  angular displacement ( radians )
• $\omega_1$


  angular initial velocity ( rad / s )
• $\omega_2$


  angular final velocity ( rad / s )
• $\alpha$


  angular acceleration ( rad / s2 )
• t

  time ( s )
• $\theta\omega_1\omega_2\alpha\text{t}$


  theta omega1 omega2 alpha t same order as SUVAT but for angular
• $\omega_2 =$$\omega_1 +$$\alpha t$


  angular final velocity = angular initial velocity + angular acceleration x time
• $\omega_2 ^2 =$$\omega_1 ^2 +$$2 \alpha \theta$


  angular final velocity ^2 = angular initial velocity ^2 + 2 x angular acceleration x angular displacement
• $\theta =$$\omega_1 t +$$\frac {1}{2} \alpha t^2$


  angular displacement = angular initial velocity x time + 0.5 x angular acceleration x time ^2
• $\theta =$$[\frac {(\omega1 + \omega2)}{2}]t$


  angular displacement = (sum of angular velocity / 2 ) x time
• $a =$$αr$


  linear acceleration = angular acceleration x radius
• $v =$$\omega r$


  linear velocity = angular velocity x radius
• $s =$$\theta r$


  linear displacement = angular displacement x radius
• $2\pi\theta=$$1_{rev}$


  2 x pi radians = 1 revolution