A laboratory centrifuge on earth makes n rpm leftn rev/min and produces an acceleration of 6.90 {g} at its outer end.

What is the acceleration (in { g}’s, i.e., acceleration divided by{ g}) at a point halfway out to the end?

This centrifuge is now used in a space capsule on the planet Mercury, where g_{{Mercury} is 0.378 what it is on earth. How many {rm rpm} (in terms of n) should it make to produce 4 g_{{{Mercury}}} at its outer end?