Centrifuge principle

Centrifuge principle

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To separate the particles suspended in the liquid from the liquid, the simple method is to let the liquid stand for a period of time, and use gravity to sink the heavier particles and the lighter particles to float. For example, v represents the volume of the particles, ρ represents the density of the particles, σ represents the density of the liquid, and g represents the acceleration of gravity, and the force F for the particles to sink is

F=gravity-buoyancy=ρvg-σvg

When ρ>σ, F is downward and the particles sink.

When ρ < σ, F is upward and the particles are floating.

When the particles are very small and ρ is close to σ, it takes a long time for the particles to sink or float, so it is difficult to achieve separation. In order to allow the particles in the liquid to separate in a short period of time, a centrifuge is often used in the laboratory.

1-2-1 Centrifugation principle

As shown in Figure 1-2-1, when the particles in the solution move in a circular motion around an axis in the inertial system, they have a certain centripetal acceleration. At the same time, due to the centripetal force, there is a centrifugal force in equilibrium with the centripetal force. This centrifugal force is non-existent. The force in the inertial system. The centrifugal force in a non-inertial system can form a centrifugal force field with the same properties as the gravity field. The centripetal force F of the particles in the gravitational field is

F=ma=mRw =ρv Rw (1-1)

Where: ρ - the density of the particles

V——the volume of the particles

R——the radius of the particle as a circular motion

W——the angular acceleration of the particles

The centrifugal force of the particles is equal to the centripetal force and the direction is opposite, so the magnitude of the centrifugal force can also be expressed by the formula (1-1).

It can be known from formula (1-1) that the particles in the solution are different in position, that is, R is different, and the centrifugal force and resistance are different. The particles at different positions will move away from the axis at different rates. . The centrifugal force that maintains the movement of the particles away from the axis is an artificial gravity whose magnitude is related to the mass of the particles, the radius of rotation, and the angular acceleration of the rotation. Different types of different quality materials will be arranged in the order of their density. This is the principle of centrifuging different substances. The centrifuge is also based on this principle.

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