Respuesta :
Answer:
4 TIMES
Explanation:
As centripetal acceleration has formula a =v^2/r. as r is constant so a is directly proportional to square of speed so square of 2 is 4 hence 4 times
Answer:
centripetal acceleration becomes 4 times
Explanation:
Given that a car is in the uniform circular motion on a circular track initially and then its speed is doubled.
Now as we know the equation for centripetal acceleration in a circular motion is given as:
[tex]a_c=\frac{v^2}{r}[/tex]
where:
[tex]a_c=[/tex] initial centipetal acceleration
v = initial speed of the car
r = radius of the track (remains constant)
When the speed is doubled:
[tex]a_c'=\frac{(2v)^2}{r}[/tex]
[tex]a_c'=\frac{4v^2}{r}[/tex]
[tex]a_c'=4\times \frac{v^2}{r}[/tex]
[tex]a_c'=4\ a_c[/tex]
i.e. centripetal acceleration becomes 4 times in the later case.
