Question

A child of mass 49.7 kg sits on the edge of a merry-go-round with radius 2.7 m and moment of inertia 311.589 kg m2 . The merrygo-round rotates with an angular velocity of 2.8 rad/s. What radial force does the child have to exert to stay on the merry-go-round? Answer in units of N.

Answer 1

The radial force is F_c = 1052.04 N

Step-by-step explanation:

Given to find the radial force

m = 49.7 kg

r1 = 2.7 m

I = 311.589 kg*m^2

ω = 2.8 rad/s

F_c = m*r1 *ω²

To find the angular force to stay on the merry go round

so replacing numeric:

F_c = 49.7 kg* 2.7m* (2.8 rad/s ^2)

F_c = 1052.04 N