Question

If the speed of an object traveling in a circle is double, and the radius of the circle is halved, the centripetal acceleration of the object would increase by a factor of ___.

Group of answer choices

2

3

6

1/2

none of the above

Answer 1

Given

Where V is the initial velocity

Where R is the initial radius

Formula for centripetal acceleration is given by

Where

V is speed

R is radius

If V doubled and R is halved then centripital acceleration become

The centripetal acceleration of the object would increase by a factor of '8'

Option 5 is correct

"none of the above"