Respuesta :
The boy near the outer edge has the greater centripetal acceleration.
As the merry- go- round is turning at a constant rate, it means it has constant angular velocity.
The rate at which a particle or an object rotates around a specific point or center within a given period of time is known as its angular velocity.
In terms of angular velocity,
Centripetal acceleration [tex]a_{C} = rw^{2}[/tex]
where, r is the radius of the circle
and w is the angular velocity
At the constant angular velocity
Centripetal acceleration is directly proportional to the radius of the circle. [tex]a_{C}[/tex] [tex]\alpha[/tex] [tex]r[/tex]
It means as the radius of the circle increases, centripetal acceleration also increases and vice versa.
As the boy near the outer edge has a larger radius in comparison to the girl towards the center.
That’s why when a boy and a girl are riding a merry-go-round which is turning at a constant rate, the boy who is near the outer edge will have the greater centripetal acceleration.
Learn more about centripetal acceleration here https://brainly.com/question/25243603
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