[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The centripetal acceleration of an object is given by
[tex]\boxed{a_{c} = \frac{v^{2}}{r}}[/tex]
where:
[tex]a_{c} =[/tex] centripetal acceleration
v = speed
r = radius
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for the centripetal acceleration
[tex]a_{c} = \dfrac{v^{2}}{r}[/tex]
[tex]a_{c} = \dfrac{(\text{12.5 m/s})^{2}}{\text{5.5 m}}[/tex]
[tex]\boxed{a_{c} = \text{28.41 m/}\text{s}^{2}}[/tex]
Therefore, the centripetal acceleration of the object is 28.41 m/s².
[tex]\\[/tex]
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