- Centripetal acceleration $a_c = \frac{v^2}{r}$. - For constant speed $v$, $a_c \propto \frac{1}{r}$. - Gentle curve = larger radius; Sharp curve = smaller radius.
An object moves in a circular path with a constant speed. Which one of the following statements is correct ?
Asked in UPSC NDA 2 2017 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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Answer: A. The centripetal acceleration of the object is smaller for a gentle curve (i.e., curve of larger radius) than that for a sharp curve (i.e., curve of smaller radius).
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