Question Detail
Question
A race car travelling in a uniform circular motion around a track. What happens to the radial acceleration of the car if the velocity is doubled and the radius of the circle is halved?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Radial acceleration a_c = v²/r. New v' = 2v, r' = r/2. Then a_c' = (2v)²/(r/2) = 4v² × 2/r = 8v²/r = 8a_c.
Hint
a_c = v²/r.