For a particle in uniform circular motion the relation a=rα of acceleration hold. The acceleration 'a'
Correct answer: B. Is tangential acceleration
- A. Is centripetal acceleration
- B. Is tangential acceleration
- C. Is radial acceleration
- D. Both A and B
Explanation
In uniform circular motion, the relationship between acceleration (a), radius (r), and angular acceleration (α) is given by the equation: a = r * α. This means that the acceleration 'a' is tangential acceleration, which is along the tangent of the circular path and is proportional to both the radius and angular acceleration. Therefore, the correct answer is Option B: Tangential acceleration. The other options are incorrect because centripetal acceleration is towards the centre of the circle, radial acceleration is not the interpretation of the given equation, and the combination of centripetal and tangential acceleration does not apply in this context.
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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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