Answer :
Answer:
[tex]F=156.416\ N[/tex] the child have to exert this much amount of force radially to stay on the wheel.
Explanation:
Given:
mass of the child, [tex]m=47\ kg[/tex]
radius of the merry-go round wheel, [tex]r=1.3\ m[/tex]
moment of inertia of the wheel, [tex]I=56.3953\ kg.m^2[/tex]
angular velocity of the wheel, [tex]\omega=1.6\ rad.s^{-1}[/tex]
Since the child is sitting on the edge of the rotating wheel the child will feel and outward throwing force called centrifugal force.
Centrifugal force is mathematically given as:
[tex]F=m.r.\omega^2[/tex]
[tex]F=47\times 1.3\times 1.6^2[/tex]
[tex]F=156.416\ N[/tex] the child have to exert this much amount of force radially to stay on the wheel.