A child of mass 5 kg is going round a merry-go-round 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 [2023]

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Solution

Q.
A child of mass 5 kg is going round a merry-go-round 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 [2023]

1 80 N

2 50 N

3 100 N

4 40 N

Ans.
(4)

$ω = \frac{2 π}{3.14} = 2 rad/s$

$| {\vec{f}}_{centrifugal} |$ $=$ $| - m {\vec{a}}_{ref} |$ $= m ω^{2} R = 40 N$

Correct option (4)

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