Physics
posted by Emilia on .
Life scientists use ultracentrifuges to separate biological components or to remove molecules from suspension. Samples in a symmetric array of containers are spun rapidly about a central axis. The centrifugal acceleration they experience in their moving reference frame acts as "artificial gravity" to effect a rapid separation. If the sample containers are 13 cm from the rotation axis, what rotation frequency is required to produce an acceleration of
1.40 ยท 105 g?
The answer is supposed to be 517 1/s. How do I arrive at this answer. Thank you very much in advance.

Ac = v^2/r = w^2 r
where w = omega, angular speed = 2 pi f
1.4 *10^5 * 9.8 = w^2 (.13)
w^2 = 106 * 10^5 = 10.6 * 10^6
so
w = 3.25 * 10^3 = 3250 radians/s
f = w/2 pi = 517 sure enough