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]
