QuestionDecember 14, 2025

Part 2 If the radius of the circular track is halved, what happens to the magnitude of centripetal acceleration of the sprinter? It doubles. It quadruples. It is reduced four times. It remains the same.

Part 2 If the radius of the circular track is halved, what happens to the magnitude of centripetal acceleration of the sprinter? It doubles. It quadruples. It is reduced four times. It remains the same.
Part 2
If the radius of the circular track is halved, what happens to the magnitude of centripetal acceleration of the sprinter?
It doubles.
It quadruples.
It is reduced four times.
It remains the same.

Solution
3.5(227 votes)

Answer

It doubles. Explanation 1. Write the centripetal acceleration formula Centripetal acceleration is a_c = \frac{v^2}{r}. 2. Analyze effect of halving radius If r becomes \frac{r}{2}, then a_c' = \frac{v^2}{r/2} = 2\frac{v^2}{r} = 2a_c.

Explanation

1. Write the centripetal acceleration formula<br /> Centripetal acceleration is $a_c = \frac{v^2}{r}$.<br />2. Analyze effect of halving radius<br /> If $r$ becomes $\frac{r}{2}$, then $a_c' = \frac{v^2}{r/2} = 2\frac{v^2}{r} = 2a_c$.
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