An 18.4-kg child is riding on a merry-go-round with a radius of 6.7 m and a speed of 14.44 m/s. Calculate the centripetal acceleration of the child.

Respuesta :

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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