Answer:
1974.4328 m/s²
Explanation:
r = Radius = 0.5 m
t = Time taken = 0.1 second
Rotational speed
[tex]v=\dfrac{2\pi r}{t}\\\Rightarrow v=\dfrac{2\pi 0.5}{0.1}\\\Rightarrow v=31.42\ m/s[/tex]
The centripetal acceleration is given by
[tex]a_c=\dfrac{v^2}{r}\\\Rightarrow a_c=\dfrac{31.42^2}{0.5}\\\Rightarrow a_c=1974.4328\ m/s^2[/tex]
The centripetal acceleration of the rock is 1974.4328 m/s²
