Question

Please help!! An astronaut passes out when the centrifuge reaches an acceleration of 12 g. If the centrifuge has

a radius of 11.5 m, at what speed will the astronaut pass out?

Answer 1

the speed of the astronaut is 36.78 m/s.

Step-by-step explanation:

Given;

centripetal acceleration of the astronaut,
`a_c` = 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;

`a_c = (v^2)/(r) \\\\v^2 = a_c r\\\\v = √(a_c r) \\\\v = √(117.6 * 11.5) \\\\v = 36.78 \ m/s`

Therefore, the speed of the astronaut is 36.78 m/s.