Answer:
The centripetal acceleration, [tex]a_c = 1280 m/s^2[/tex]
Explanation:
Centripetal acceleration is given by the formula:
[tex]a_c = \frac{v^2}{r}[/tex]
Where the speed of the ball, v = 16 m/s
Length of the string, r = 0.2 m
Substituting these parameters into the centripetal equation above:
[tex]a_c = \frac{16^2}{0.2}\\a_c = \frac{256}{0.2}\\a_c = 1280 m/s^2[/tex]