An experiment to determine ceramic particle sizes

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SUMMARY

An experiment to determine ceramic particle sizes utilized the equation v = (d² (p_s - p_1) g) / (18 η) to calculate the range of sizes based on the rate of descent in a fluid. The observed descent rates were between 1.2 × 10–6 m s–1 and 5 × 10–6 m s–1, with the ceramic density at 3800 kg m–3 and the fluid density and viscosity at 1632 kg m–3 and 0.00972 Pas, respectively. The equation relates particle diameter to speed, density, and gravitational acceleration, confirming its applicability for this experiment.

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Tiberious
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Homework Statement


(I) An experiment to determine ceramic particle sizes showed that the rate of descent when suspended in a fluid ranged from 1.2 × 10–6 m s–1 to 5 × 10–6 m s–1. 
The density of the material was 3800 kg m–3 and the density and viscosity of the fluid at room temperature were 1632 kg m–3 and 0.00972 Pas respectively. Calculate the range of sizes of the particles. 


Homework Equations



v= (d^2 (p_s-p_1 )g)/〖18〗_η

The Attempt at a Solution



Im slightly confused on the above equation. Is this the correct equation to be used in this instance. it's the only one I can find from the notes.
 
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That has an odd formatting, but it gives a relation between speed and particle diameter where the rest should be known.
 

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