Definition of an angular velocity
Angular velocity-If a body moving in a circular path turns through an angle θ radians in time ‘t’, we define angular velocity omega (ω), as the rate of change of theangle θ with time. ω= #θ / t#, unit for angular velocity is radians per second (#rads^-1#). -Since the radian measure is a ratio we can write it as #second^-1 (s^-1).#- We can establish the relationship between angular velocity ‘ω’ and linear velocity ‘v’, from the relation, θ = #(arc) / (radius)#, arc = radius × θ.-Dividing the expression by ‘t’, then #(arc) / t# = radius, but #(arc) / t = v (angular velocity). So ‘v’ =radius × ω. -This expression gives us the relationship between angular and linear velocity.