When a body moves in a circle, the angle between its velocity v and angular velocity ω is always
Correct answer: D. 90o
- A. 0o
- B. 180o
- C. 360o
- D. 90o
Explanation
When a body moves in a circle, the angle between its velocity vector (v) and angular velocity vector (ω) is always 90 degrees, or π/2 radians. This is because the velocity vector is tangential to the circle at any point, pointing in the direction of motion, while the angular velocity vector is perpendicular to the plane of the circle and points along the axis of rotation. As a result, the angle between them is always a right angle. Options A, B, and C are incorrect because the angle between velocity and angular velocity in circular motion is not 0, 180, or 360 degrees. The correct angle is always 90 degrees due to the specific geometric relationship between these vectors in circular motion.
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About Angular and Linear Quantities
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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