Answer:
[tex]a=32\ m/s^2[/tex]
Explanation:
Given that,
The velocity of an astronaut in a circular path, v = 16 m/s
The radius of the accelerator, r = 8 m
We need to find his centripetal acceleration. The formula that is used to find the centripetal acceleration is given by :
[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(16)^2}{8}\\\\a=32\ m/s^2[/tex]
So, the required centripetal acceleration is [tex]32\ m/s^2[/tex].