Question

if the radius of a circular arc is doubled ,the centripetal force acting on the moving body will be:​

Answer 1

Given :  Radius of a circular arc is doubled

To Find : centripetal force acting on the moving body will be

Solution:

Centripetal force = mass x velocity² / radius

F = mv²/r

F  ∝  1/ r

=> if radius is doubled  then  centripetal force will be halved

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Answer 2

HELLO DEAR,

GIVEN:- If the radius of a circular arc is doubled ,

TO FIND:- The centripetal force acting on the moving

body will be

SOLUTION:- Let the mass of the body = $\large{m}$

And the velocity of the body = $\large{v}$

And radius of circular arc = $\large{r}$

So, the centripetal force $\large{F}$ of the body = $\large{\frac{mv^2}{r}}$

The centripetal force $\large{F}$ is inversely proportional to radius,

$\large{F}$ ∝ $\large{\frac{1}{r}}$

Therefore, if the radius $\large{r}$ is double then the centripetal force$\large{F}$ is half.

THANKS.