The centripetal acceleration of the child is [tex]31.1 m/s^2[/tex]
Explanation:
The centripetal acceleration of a body in circular motion is given by
[tex]a=\frac{v^2}{r}[/tex]
where
v is the speed of the body
r is the radius of the circular trajectory
For the child in this problem, we have:
r = 6.7 m is the radius of the circle
v = 14.44 m/s is the speed
Substituting,
[tex]a=\frac{(14.44)^2}{6.7}=31.1 m/s^2[/tex]
Learn more about centripetal acceleration:
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