For constant linear acceleration, angular acceleration and radius are
Correct answer: B. Inversely related
- A. Equal
- B. Inversely related
- C. Directly related
- D. No relation
Explanation
When an object undergoes constant linear acceleration, it experiences a change in velocity over time. Similarly, when an object undergoes angular acceleration, it experiences a change in angular velocity over time.The angular acceleration is related to the linear acceleration and the radius of rotation through the equation:angular acceleration = linear acceleration / radiusFrom this equation, we can see that the angular acceleration is inversely related to the radius. As the radius increases, the angular acceleration decreases for a constant linear acceleration. Conversely, if the radius decreases, the angular acceleration increases.Therefore, option B) Inversely related is the correct choice.
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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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