Question

if both speed of a body and radius of circular path are doubled what happens to centripetal acceleration ?

Answer 1

Hola mate....Here is your answer....


Centri. Acceleration = v*(2)/r

If speed and radius are doubled....


Centr. Acceleration. = 4v*(2)/2r

= 2× original centr.Accn.

Answer 2

Explanation:

The centripetal acceleration of the body is given by :

$a=\dfrac{v^2}{r}$

According to given conditions, v' = 2 v and r' = 2 r

The new centripetal acceleration is given by :

$a'=\dfrac{v'^2}{r'}$

$a'=\dfrac{(2v)^2}{(2r)'}$

$a'=\dfrac{2v^2}{r}$

$a'=2\times a$

So, the new acceleration becomes twice of the previous value of acceleration.