Answer:
F = 482.51 N
Step-by-step explanation:
Given that,
Mass of a child, m = 22 kg
Angular velocity of the merry-go-round,
![\omega=40\ rev/min](https://img.qammunity.org/2022/formulas/physics/college/8ppltsk48ohuliwk7fv9anmcisng18yl71.png)
Let the radius of the path, r = 1.25 m
We need to find the centripetal force acting on the child. The formula for the centripetal force is given by :
![F=m\omega^2r\\\\=22* (4.18879)^2* 1.25\\\\=482.51\ N](https://img.qammunity.org/2022/formulas/physics/college/2t48ivx0212rv6b5f5wewf6w550ujhhjni.png)
So, the required centripetal force is 482.51 N.