A centrifuge is used to increase the sedimentation rate of particles suspended in a liquid, over the rate produced by gravity alone. Find the angular velocity of a centrifuge in which a particle 12.0 cm from the axis of rotation experiences a radial acceleration of 1.94 103 times gravitational acceleration g.
I tried this and got 2281.44 rad/s this is wrong...I have gotten 9/10 questions right but i am stumped here please help
I tried this and got 2281.44 rad/s this is wrong...I have gotten 9/10 questions right but i am stumped here please help
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centrip accel = w^2 r
where w is angular velocity
and this acceleration is 1.94x10^3 x g = 19031m/s/s (where g = 9.81m/s/s)
therefore we have
w = Sqrt[a/r] = Sqrt[19031m/s/s / 0.12m] = 398.2rad/s
where w is angular velocity
and this acceleration is 1.94x10^3 x g = 19031m/s/s (where g = 9.81m/s/s)
therefore we have
w = Sqrt[a/r] = Sqrt[19031m/s/s / 0.12m] = 398.2rad/s