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# Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s. In r?

As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm that then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.08g while in circular motion with radius 9.74 m.

Answer in revolution per second.

### 1 Answer

- 1 decade agoFavorite Answer
acceleration=v^2*r

29.4 m/s/s=v^2*9.74 m

29.4/9.74=v^2

w^2= 3.01848 radians/sec

w= 1.7374

because there is 2*pi radians per revolution, then it comes out to;

1.7374 radians/sec* 1 rev/(2*pi rad)= 0.2765 rev/sec

Source(s): Yahoo Answers