Achild is riding a merry-go-round that is turning at 7.18 rpm. if the child is standing 4.65 m from the center of the merry-go-round, how fast is the child moving?

The rate of change of angular displacement is defined as angular speed, Its unit is rad/sec. The child is moving at a pace of 3.48 m/sec.

The rate of change of angular displacement is defined as angular speed, and it is stated as follows:

ω = θ t

The given data in the problem is;

n is the rpm of the child=7.18

r is the distance from the center= 4.65 m

v is the linear speed=?

The angular velocity of the child is found by the formula;

The linear speed is given by the product of angular speed and radius,

Hence the child is moving at a pace of 3.48 m/sec.

To learn more about the angular speed refer to the link;

link

it would be c. predictability