A child stands at the rim of a rotating merry-go-round of radius 2.7 m. he child

Question

A child stands at the rim of a rotating merry-go-round of radius 2.7 m. he child has a mass of 57.0kg, and the carousel turns with an angular velocity of 3.0 rad/s. What is the child's centripetal acceleration? Submit Answer Tries 0/10 What is the horizontal force required between her feet and the floor of the carousel to keep her in the circular path? Submit Answer Tries 0/10 What minimum coefficient of static friction is required (This will tell you whether she is likely to be able to stay on the merry-go-round.)

Explanation / Answer

here,

radius , r = 2.7 m

mass of child , m1 = 57 kg

angular velocity , w0 = 3 rad/s

the child's centripital accelration , ac = w0^2 * r

ac = 24.3 m/s^2

b)

the horizontal force required , Fx = m * ac

Fx = 1385.1 N

c)

let the minimum coefficient of static friction be us

us * g = a

us * 9.81 = 24.3

us = 2.48

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