Question

what is the relationship between the displacement and angular velocity

Answer 1

angular velocity :- change in angular displacement per unit time is called angular velocity .
e.g angular velocity = ∆∅/∆t

we know, angular and linear motion , both are different . but some relation between them .
e.g V = W x r

where V is the linear velocity , W is angular velocity and r is the position vector .
in magnitude e.g scalar quantity .

V = wrsin∅

we know V = dx/dt
use this ,

dx/dt =Wrsin∅

dx = Wrsin∅.dt

integrate both sides

x = Wrsin∅.t +C
this is relation between displacement and angular velocity .