At its Ames Research Center, NASA uses its large 20-G centrifuge to test the effects of very large accelerations (hypergravity) on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and the astronaut is strapped in at the other end. Suppose that he is aligned along the arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this machine is typically 12.5 g .Part AHow fast must the astronaut's head be moving to experience this maximum acceleration?Part BWhat is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall?Part CHow fast in rpm (revolutions per minute) is the arm turning to produce the maximum sustained acceleration?

Explanation:

v = square root ( 12.5 x 9.81 x 8.84)

v = 32.92m/s =astronauts speed

b) astronaut acceleration ;

from ac = w^2 r

w = square root ( ac/r)

w = square root(12.5g/8.84)

= square root( 12.5 x 9.81 /8.84)

= 3.72rad/s

c) What is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall ; new r' = 8.84 - 2.00 , r' = 6.84m

d) How fast in rpm (revolutions per minute) is the arm turning to produce the maximum sustained acceleration ; i.e convert w in rads/s to rvpm

= 3.72 x 60 / 2 x 3.142

= 35.52rvpm = the angular speed

where rvpm = revolutions per minute

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.