Answer:
d. [tex]\frac{4\pi^{2} R}{T^{2}}[/tex]
Explanation:
[tex]R[/tex] = Radius of the circular path
[tex]T[/tex] = Time period of motion
[tex]w[/tex] = Angular speed of the motion
Angular speed of the motion is given as
[tex]w = \frac{2\pi }{T}[/tex]
The toy is moving in a circle and hence centripetal acceleration acts on it which can be given as
[tex]a = R w^{2} \\a = R (\frac{2\pi }{T})^{2}\\a = \frac{4\pi^{2} R}{T^{2}}[/tex]
hence the correct choice is
d. [tex]\frac{4\pi^{2} R}{T^{2}}[/tex]
