Question

if a rigid body is rotating with angular velocity" "the linear velocity"

Answer 1

Answer:

v=wr

Explanation:

if rigid body is rotating with angular velocity w then liners velocity of body is cross product of w and distance of object from center of circle let's say r

v=w×r

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Answer 2

Answer:

v = rω

Explanation:

Here, v is linear velocity, r is the radius vector and ω is the angular velocity.

Proof :-

A rotating body will travel in a circular path

i.e. Distance = 2πr & time = T

Then,

Speed = Distance/Time

Speed = 2πr/T

v = (2π/T) r

v = ω ⨯ r

v = rω