Question

A child of mass 47 kg sits on the edge of a merry-go-round with radius 1.3 m and moment of inertia 56.3953 kg m2 . The merrygo-round rotates with an angular velocity of 1.6 rad/s. What radial force does the child have to exert to stay on the merry-go-round?

Answer 1

Answer:

$F=156.416\ N$ the child have to exert this much amount of force radially to stay on the wheel.

Explanation:

Given:

mass of the child, $m=47\ kg$

radius of the merry-go round wheel, $r=1.3\ m$

moment of inertia of the wheel, $I=56.3953\ kg.m^2$

angular velocity of the wheel, $\omega=1.6\ rad.s^{-1}$

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:

$F=m.r.\omega^2$

$F=47\times 1.3\times 1.6^2$

$F=156.416\ N$ the child have to exert this much amount of force radially to stay on the wheel.