Explanation:
Formula for centripetal acceleration of an object is as follows.
a = [tex]\frac{v^{2}}{r}[/tex]
When an object is travelling in a circular path then it is difficult to measure its velocity.
Hence, for a circular object the formula for acceleration is as follows.
a = [tex]\frac{4 \pi^{2} r}{T^{2}}[/tex]
a = [tex]\frac{V^{2}}{r}[/tex], and V = [tex]\frac{d}{T} = \frac{2 \pi r}{T}[/tex]
a = [tex]\frac{(\frac{[2\pi r]}{T})^{2}}{r}[/tex]
= [tex]\frac{4 \pi^{2} r}{T^{2}}[/tex]
Thus, we can conclude that the magnitude of the acceleration of the toy is [tex]\frac{4 \pi^{2} r}{T^{2}}[/tex].
