Answer:
F_c = 519.32 N
Explanation:
We are given;
Mass of child; m = 27.1 kg
Angular velocity;ω = 31.6 rev/min
Radius;r = 1.75m
Since we want to find the force in Newton's, let's convert the angular velocity to Linear Velocity. The formula is :
v = r × RPM × 0.10472
v = 1.75 × 31.6 × 0.10472
v = 5.791 m/s
Formula for centripetal force is;
F_c = mv²/r
F_c = (27.1 × 5.791²)/1.75
F_c = 519.32 N