Answer:
4ac (quadruples)
Explanation:
The general formula for centripetal acceleration is given as follows:
[tex]a_{c} = \frac{v^2}{r}\\\\[/tex] -------------- equation (1)
where,
ac = centripetal acceleration
v = tangential speed
r = radius of circular path
Now, if we double tangential speed, v' = 2v, then the acceleration will become:
[tex]a_{c}' = \frac{(2v)^2}{r}\\\\a_{c}' = \frac{4v^2}{r}[/tex]
using equation (1):
[tex]a_{c}' = 4a_{c}[/tex]
therefore, the correct answer is:
4ac (quadruples)
