A child of mass 5,kg is going round a merry-goround that makes 1 rotation in 3.14,s . radius of merr

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3-2.Motion in Plane

medium

A child of mass $5\,kg$ is going round a merry-goround that makes $1$ rotation in $3.14\,s$. The radius of the merry-go-round is $2\,m$. The centrifugal force on the child will be $.......\,N$

A$80$ $N$

B$50$ $N$

C$100$ $N$

D$40$ $N$

(JEE MAIN-2023)

Solution

$\omega=\frac{2 \pi}{3.14}=2\,rad / s$
$\left|\bar{f}_{\text {centrifiugal }}\right|=\left|-m \bar{a}_{\operatorname{Re} f .}\right|$
$=M \omega^2 R$
$=40\,N$

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A child of mass $5\,kg$ is going round a merry-goround that makes $1$ rotation in $3.14\,s$. The radius of the merry-go-round is $2\,m$. The centrifugal force on the child will be $.......\,N$

Solution

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