At a space exploration center, astronauts train on a centrifuge with a radius of 70 feet. a. The centrifuge makes 72 complete revolutions in 2 minutes.
Find the angular velocity of the centrifuge in radians per second.
What distance does an astronaut travel around the center each second?
This is the velocity v of the astronaut.

b. Acceleration is the rate of change of velocity with respect to time.
An object moving at a constant velocity v in circular motion with radius r
has an acceleration of
Using the velocity v from part a. determine the astronaut’s acceleration.

c. One “g” is the acceleration due to gravity on Earth,
about 32 feet per second per second.
How many g’s is the astronaut experiencing in the centrifuge?
How does this compare with a roller coaster?