Answer :
If the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 60000 rpm , the magnitude of the net force on the rotor due to the unbalanced samples is 68.1N.
The velocity will be determined using the provided data as follows:
= 2πrf.
where radius equals 0.12 and r.
f = rotations per second equals 60000/60 = 1000.
There will be:
= 2 × 3.14 × 0.12 × 1000
= 753 m/s
The centripetal force will therefore be:
= [10^-5 × (753)²] ) 0.12
= 68.1N
A magnitude attribute of a mathematical object that indicates whether it is bigger or smaller than other things of the same kind is its magnitude or size. The rotor is a moving portion of an electromagnetic system in the electric motor, electric generator, or alternator. A part that circles in a stationary section is a brake rotor. More formally, an object's magnitude is the displayed result of an ordering
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The complete question is
The ultracentrifuge is an important tool for separating and analyzing proteins. Because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. Any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. Suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. If the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples
