The relation between linear and angular acceleration is
Correct answer: B. a= rxalpha
- A. a= alphaxr v
- B. a= rxalpha
- C. a= alphaxr
- D. a= ax alpha
Explanation
This is correct. This equation represents the fundamental relationship between linear and angular acceleration for a point on a rotating object. It states that the linear acceleration (a) of the point is directly proportional to the magnitude of the angular acceleration (α) and the distance of the point from the axis of rotation (r). The cross product (×) ensures the direction of the linear acceleration is perpendicular to both r and α.
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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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