Give the equations of rotational motion.

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Solution

$\begin{matrix} L i n e a r M o t i o n & R o t a t i o n a l M o t i o n P o s i t i o n & x & θ & A n g u l a r p o s i t i o n V e l o c i t y & v & ω & A n g u l a r v e l o c i t y A c c e l e r a t i o n & a & α & A n g u l a r a c c e l e r a t i o n M o t i o n e q u a t i o n s & v = v_{0} + a t & ω = ω_{0} + α t x = v_{0} t + \frac{1}{2} a t^{2} & θ = ω_{0} t + \frac{1}{2} α t^{2} v^{2} = v_{0}^{2} + 2 a x & ω^{2} = ω_{0}^{2} + 2 α θ M a s s (l i n e a r i n e r t i a) & m & I & M o m e n t o f i n e r t i a N e w t o n^{'} s s e c o n d l a w & F = m a & τ = I α & N e w t o n^{'} s s e c o n d l a w M o m e n t u m & p = m v & L = I ω & A n g u l a r m o m e n t u m W o r k & F d & τ θ & W o r k K i n e t i c e n e r g y & \frac{1}{2} m v^{2} & \frac{1}{2} I ω^{2} & K i n e t i c e n e r g y P o w e r & F v & τ ω & P o w e r \end{matrix}$

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