In a rigid body, what is the angular velocity of any particle with respect to a specified axis of rotation?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. The same for all particles.
In a rigid body, all particles rotate together about a fixed axis. The angular velocity (ω) is a measure of how fast the body rotates and is uniform for all particles, regardless of their distance from the axis. This is because a rigid body maintains constant distances between its particles during rotation.
-
“Zero for all particles” – Incorrect; a rotating body has non-zero angular velocity.
-
“Different for each particle depending on its distance from the axis” – Incorrect; linear velocity varies with distance, but angular velocity remains the same.
-
“Always equal to linear velocity divided by mass” – Incorrect; angular velocity is related to linear velocity by v=ωr, not mass.