I\'ve worked this problem out a few times and can\'t get the right answer. I\'m

Question

I've worked this problem out a few times and can't get the right answer. I'm not sure what I'm doing wrong, This shouldn't be a hard problem at all. Here is the question and what I've done. Can someone tell me where I'm doing this wrong? And explain what I need to do and why?

An advertisement claims that a centrifuge takes up only 0.127 m of bench space but can produce a radial acceleration of 4800 g at 8000 rev/min.

Calculate the required radius of the centrifuge.

Here is my work, this is how I've attempted to solve this problem.

This is the equation I'm using.

using sig figs I get

=158,000 rev/s

Now i just plug these numbers into the equation I'm using and I should get the answer, but Its wrong and I don't know why. Heres what I'm getting.

This answer is wrong, it seems too small for me, but I'm not sure what I've done wrong. Can someone please help. I really need to have an explination as to what I'm doing worng, and why I should do what ever.

Explanation / Answer

Your calculation of is incorrect

= 8000*2/60 = 837.76 rad/s

You should take g=10m/s^2

Hence = 48000m/s^2

r = /^2 = 48000/(837.76^2) = 0.0684m

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