Two points of a rod move with velocity `3 v` and `v` perpendicular to the rod and in the same direction, separated by a distance `r`. Then the angular velocity of the rod is :

Options

A. `(3v)/( r)`
B. `(4 v)/( r)`
C. `(5 v)/( r)`
D. `(2 v)/( r)`

Answer

D

Explanation

(d) `omega_(rad) = omega_(point) = ((v_(rel))/( r)) , v_(rel)`. Being the velocity of one point w.r.t. other.
=`(3v - v)/( r)` and 'r' being the distance between them.
=`(2 v)/( r)`.
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