In a Beams ultra centrifuge, the rotor is suspended magnetically in a vaccume. S

Question

In a Beams ultra centrifuge, the rotor is suspended magnetically in a vaccume. Since there is no mechanical connection to the rotor, the only friction is air resistance, due to the few air molecules in the vaccume. If the rotor is spinning with an angular speed of 5.3 x 10 5 rad/s and the driving force is turned off it's spinning rate slows down to an angular rate of 0.42 rad/s 2. How long does the rotor spin before coming to rest? During this time through how many revolutions does the rotor spin?

Explanation / Answer

f = i + at

0 = 5.3 x 10^5 + -.42t

t= 1261904.76 sec

f^2 = i^2 + 2ad

0= (5.3 x 10^5)^2 + 2(-.42)d

d= 3.344 x 10^11 radians

3.344 x 10^11 radians x (1rev/2rad) = 5.322 x 10^10 Revs

Hope this helps!

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