Question

A particle is revolving on circular path with constant speed. if it's speed and radius of path are double then it's centripetal acceleration will - a) get double b) get halved c) get tripled d) remain the same ​

Answer 1

Answer:

b

Explanation:

centripetal acceleration,a= v²/r

this means a α 1/r

if radius is doubled then acceleration will get half

Answer 2

The new centripetal acceleration gets doubled when the its speed and radius of path are double.

Explanation:

The centripetal acceleration of the particle on the circular path is given by :

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

v is the speed of particle

r is the radius of circular path

If it's speed and radius of path are double, v' = 2v and r' = 2r

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

So, the new centripetal acceleration gets doubled when the its speed and radius of path are double.

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