Answer:
[tex]a_c=9.66\frac{m}{s^2}[/tex]
Explanation:
The centripetal acceleration is given by:
[tex]a_c=\frac{v^2}{r}(1)[/tex]
Here v is the linear speed and r is the radius of the circular motion. v is defined as the distance traveled to make one revolution ([tex]2\pi r[/tex]) divided into the time takes to make one revolution, that is, the period (T).
[tex]v=\frac{2\pi r}{T}(2)[/tex]
Replacing (2) in (1) and replacing the given values:
[tex]a_c=\frac{(\frac{2\pi r}{T})^2}{r}\\a_c=\frac{4\pi^2 r}{T^2}\\a_c=\frac{4\pi^2 (1.85m)}{(2.75s)^2}\\a_c=9.66\frac{m}{s^2}[/tex]
