Question

The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube 58 ft long and is represented in the figure below. Assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.0 ft away. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 19.0g.

Answer 1

please explain steps/thinking thank you!

Answer 2

Centripetal acceleration is
a = ω ²•r
where ω is the angular velocity (in radians per second), and r is the radius r=29 ft
ω=sqrt(a/r)= …. (in rad/s)

f(rev/s)= ω (rad/s)/2π

Answer 3

34