In equation v=ω×r 90o is angle between
Correct answer: B. r and ω
- A. v and r
- B. r and ω
- C. v and ω
- D. All are correct
Explanation
In the equation v=ω×r, the linear velocity (v) is the cross product of angular velocity (ω) and the radius (r), implying that ω and r are perpendicular to each other, hence the 90° angle. Option B correctly identifies that the angle is between r and ω. Options A and C mistakenly suggest the angle involves v, which is not the case in the context of this equation. Option D incorrectly assumes all options are correct, but only r and ω have this specific perpendicular relationship.
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Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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