Answer:
the speed of the astronaut is 36.78 m/s.
Explanation:
Given;
centripetal acceleration of the astronaut, [tex]a_c[/tex] = 12 g = 12 x 9.8 m/s² = 117.6 m/s²
radius of the centrifuge, r = 11.5 m
The speed of the astronaut is calculated as follows;
[tex]a_c = \frac{v^2}{r} \\\\v^2 = a_c r\\\\v = \sqrt{a_c r} \\\\v = \sqrt{117.6 \times 11.5} \\\\v = 36.78 \ m/s[/tex]
Therefore, the speed of the astronaut is 36.78 m/s.
