Answer:
[tex]v = 23.95 m/s[/tex]
Explanation:
As we know that when astronaut is revolving in circular path then the acceleration of the astronaut is due to centripetal acceleration
so it is given as
[tex]a_c = \frac{v^2}{R}[/tex]
here we know that
[tex]a_c = 4.50 g[/tex]
also we know that
[tex]R = 13 m[/tex]
now we have
[tex]4.50 \times 9.81 = \frac{v^2}{13}[/tex]
[tex]v = 23.95 m/s[/tex]