Sedimentation Coefficient Given Radius Of Particle Calculator

Sedimentation Coefficient Formula:

\[ s = \frac{v_t}{r_0 \cdot \omega^2} \]

Sedimentation Coefficient (s):

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1. What is Sedimentation Coefficient?

The Sedimentation Coefficient is defined as the ratio of a particle's sedimentation velocity to the applied acceleration causing the sedimentation. It is a measure of how quickly a particle settles in a fluid under centrifugal force.

2. How Does the Calculator Work?

The calculator uses the sedimentation coefficient formula:

\[ s = \frac{v_t}{r_0 \cdot \omega^2} \]

Where:

\( s \) — Sedimentation Coefficient (s)
\( v_t \) — Sedimentation Speed (m/s)
\( r_0 \) — Radius of Spherical Particle (m)
\( \omega \) — Angular Velocity (rad/s)

Explanation: The formula calculates how quickly particles settle in a centrifugal field based on their size, sedimentation velocity, and the angular velocity of the centrifuge.

3. Importance of Sedimentation Coefficient

Details: The sedimentation coefficient is crucial in various scientific fields including biochemistry, biophysics, and materials science. It helps characterize particles, determine molecular weights, and study particle interactions in suspensions.

4. Using the Calculator

Tips: Enter sedimentation speed in m/s, radius of spherical particle in meters, and angular velocity in rad/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical units for sedimentation coefficient?
A: The sedimentation coefficient is typically measured in Svedberg units (S), where 1 S = 10^-13 seconds.

Q2: How does particle size affect sedimentation coefficient?
A: Larger particles generally have higher sedimentation coefficients as they settle more quickly under centrifugal force.

Q3: What factors influence sedimentation speed?
A: Sedimentation speed depends on particle size, density difference between particle and fluid, fluid viscosity, and centrifugal force.

Q4: Can this formula be used for non-spherical particles?
A: The formula is specifically derived for spherical particles. For non-spherical particles, additional correction factors are needed.

Q5: What is the relationship between angular velocity and sedimentation?
A: Higher angular velocities create greater centrifugal forces, resulting in faster sedimentation rates for particles.