Respuesta :

The answer is B.

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Answer:

B)[tex]a_c = \frac{4\pi^2 R}{T^2}[/tex]

Explanation:

As we know that for uniform circular motion the speed of the object is given by

[tex]v = \frac{distance}{time}[/tex]

here we know that

[tex]v = \frac{2\pi R}{T}[/tex]

now we know the formula of centripetal acceleration as

[tex]a_c = \frac{v^2}{R}[/tex]

here we know that

[tex]a_c = \frac{(\frac{2\pi R}{T})^2}{R}[/tex]

by solving above we have

[tex]a_c = \frac{4\pi^2 R}{T^2}[/tex]

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