20 !
at a space exploration center, astronauts are training on a human centrifuge that has a diameter of 70 feet.
a. the centrifuge makes 72 complete revolutions in 2 minutes. what is the angular velocity of the centrifuge in radians per second? what distance does an astronaut travel around the center each second?
b. acceleration is the rate of change of velocity with time. an object
moving at a constant velocity v in circular motion with a radius of r 2
has an acceleration a of a = _v_. what is the astronaut’s acceleration? r
(note that the acceleration will have units of feet per second squared.)
c. one“g”’ssurfacebygravity. this acceleration is what gives you your weight. some roller coasters can produce an acceleration in a tight loop of 5 or even 6 g’s. earth’s gravity produces an acceleration of 32 ft/s2. how many g’s is the astronaut experiencing in the centrifuge?