A 27.1 kg child is riding a playground merry-go-round that is rotating at 31.6 rev/min. What centripetal force (in N) must she exert to stay on if she is 1.75 m from its center

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

gravity

explanation:

c. magnitude and direction