A 27.0 kg child is riding a playground merry-go-round that is rotating at 25.0 rev/min. What centripetal force (in N) is exerted if he is 1.25 m from its center? (Enter the magnitude.) N (b) What centripetal force (in N) is exerted if the merry-go-round rotates at 1.5 rev/min and he is 8.00 m from its center? (Enter the magnitude.) N (c) Compare each force with his weight. (Enter the ratios of the magnitudes.) F(a) w = F(b) w =

231.318853151 N

5.32958637659 N

and

Explanation:

m = Mass of child = 27 kg

r = Distance from center

= Angular velocity

Centripetal force is given by

The centripetal force is 231.318853151 N

At r = 8 m and

The centripetal force is 5.32958637659 N

Comparing

and

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