Problem D4 Solution
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View Full DocumentProblem D6 Solution
You are purifying samples of neurons by placing them in a
centrifuge.
Test tube 1 is placed in the outer ring of the centrifuge
at a distance R
1
= 15 cm from the center of rotation, while test
tube 2 is placed the inner ring, R
2
= 13 cm from the center of
rotation. The radius of a test tube is r = 0.5 cm
The centrifuge accelerates at constant angular acceleration and
takes 10 second to reach a maximum angular velocity of 5000
rpm (revolutions/minute). It then maintains a constant angular
velocity of 5000 rpm.
a)
How long does it take for the centrifuge to reach an angular velocity of 3500 rpm?
b)
What is the normal and tangential acceleration of test tube 1 when
ω
= 3500 rpm?
c)
What is the normal and tangential acceleration acting on neuron A when the centrifuge
reaches constant angular velocity?
d)
If a neuron has mass of 10
μ
g, what is the normal force acting on a neuron A when the
centrifuge reaches constant angular velocity?
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 Spring '08
 Staff
 Acceleration, Angular Acceleration, Velocity, Euclidean vector

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