Answer:
The value is [tex]F = 454 \ N[/tex]
Explanation:
From the question we are told that
The mass of the child is [tex]m = 23.0 \ kg[/tex]
The angular velocity is [tex]w = 30 \ rpm = \frac{2 \pi * 30 }{60} = 3.142 \ rad/s[/tex]
The distance from the center is [tex]r = 2.0 \ m[/tex]
Generally the centripetal force is mathematically represented as
[tex]F = m * w^2 * r[/tex]
=> [tex]F = 23 * 3.142 ^2 * 2[/tex]
=> [tex]F = 454 \ N[/tex]
