Centrifuge on Mercury. A laboratory centrifuge on earth makes n rpm (rev/min) and produces an acceleration of

Question:

Centrifuge on Mercury. A laboratory centrifuge on earth makes n rpm (rev/min) and produces an acceleration of 5.00g at its outer end.
(a) What is the acceleration ("m g's) at a point halfway out to the end?
(b) This centrifuge is now used in a space capsule on the planet Mercury, where gMercury is 0.378 what it is on earth. How many rpm (in terms of n) should it make to produce 5 gMercury at its outer end?