Physics Class 11 Chapter 7 System of Particles & Rotational Motion | Page 11

Example - Calculate the cross product between a = ( 3 , −3 , 1 ) and b = ( 4 , 9 , 2 )
Solution :
Angular velocity & its relation with linear velocity
Every particle of a rotating body moves in a circle . Angular displacement of a given particle about its centre in unit time is defined as angular velocity .
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Average angular velocity = ΔΘ / Δt Instantaneous angular velocity , ω = dΘ / dt
v = w r , where v – linear velocity of particle moving in a circle of radius r