Question
Question: A particle moves in a circular path of radius r with speed v. It then increases its speed to 2v whil...
A particle moves in a circular path of radius r with speed v. It then increases its speed to 2v while traveling along the same circular path. The centripetal acceleration of the particle has changed by a factor of –
A
0.25
B
0.5
C
2
D
4
Answer
4
Explanation
Solution
Because the centripetal acceleration is proportional to the square of the speed, doubling the speed increases the acceleration by a factor of 4.