A centrifuge rotates at 100 rev/s (i.e. ,628 rad/s).If the test tube places the suspension at 8.0 cm from the axis of rotation,by what factor are the terminal speeds of the settling particles increased as compared to sedimentation cause by gravity? A)3.2 ´ 10² B)64 C)800 D)3.9 ´ 10⁵

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Quizplus · Accepted Answer

The centrifugal acceleration is given by $ a = \omega^2 \times r $. Substituting $ \omega = 628 \, \text{rad/s} $ and $ r = 0.08 \, \text{m} $, we find $ a \approx 3.2 \times 10^4 \, \text{m/s}^2 $. The factor increase compared to gravity ($ g = 9.8 \, \text{m/s}^2 $) is $ \frac{3.2 \times 10^4}{9.8} \approx 3.2 \times 10^3 $.

A Centrifuge Rotates at 100 Rev/s (I