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, which 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 2.97g while in circular motion with radius
9.55 m.
revolutions per second
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
2.97g = 29.13 m/s^2
so centripetal accn. of 2.97g = 29.13 m/s^2 =
so, rotation rate in rev/sec = 0.2769 rad/s
As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g...