Asked by Kiki
A blood sample placed in a centrifuge is subjected to a force of 4.8 10-11 N when the centrifuge is operated at 126 rev/s. What is the diameter, in cm, of the centrifuge?
Answers
Answered by
Damon
I need to know the mass, m, of the sample
because F = m a = m v^2/R = m omega^2 R
omega = 2 pi * radians/second
1rev = 2 pi radians
126 revs/s = 126 * 2 * 3.14159 radians/second
so
4.8*10^-11 = m (252*pi)^2 * R
R is radius in meters/multiply by 2 to get diameter and divide by 100 to get cm
because F = m a = m v^2/R = m omega^2 R
omega = 2 pi * radians/second
1rev = 2 pi radians
126 revs/s = 126 * 2 * 3.14159 radians/second
so
4.8*10^-11 = m (252*pi)^2 * R
R is radius in meters/multiply by 2 to get diameter and divide by 100 to get cm
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