Question Detail

PHY 101 PHY 101 Past Questions Objective Question

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?
Options
A Remains the same
B It increases by a factor of 8
Correct Answer
C It increases by a factor of 4
D Decreases by a factor of 2
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.

Question Info