physics

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A laboratory centrifuge on earth makes n rpm and produces an acceleration of 3.20 g at its outer end.
A) What is the acceleration (in g's, i.e., acceleration divided by g) at a point halfway out to the end?
B) 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 rpm (in terms of n) should it make to produce 7 g_mercury at its outer end?

  • physics -

    Ac = v^2/R = w^2 r

    divide r by two --> divide Ac by to

    7*.378 = 2.646 g
    so
    Ac final = 2.646/3.2 = .827 Ac original

    w^2 r final = .827 w^2 r original
    r did not change
    w final = sqrt (.827) w original
    n final = .91 n original

  • physics -

    can you explain how to find the acceleration at a point halfway out to the end?

  • physics -

    sure,
    Ac = w^2, the angular velocity squared
    times the radius.
    If you cut the radius in half, go halfway out, then you cut the acceleration in half since w is the same.

  • physics -

    So how do you get the first part? "{

  • physics -

    3.2 / 2

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