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Meteorology

A Stairmand high-throughput cyclone is chosen to clean a dusty airstream flowing at 8,000 acfm (180 °F, 1 atm). The maximum allowable pressure drop is 9 in. H2O. The particle density is 1,300 kg/m3 and K = 16. Find the cyclone diameter, D. Report your answer in units of meters, rounded to two values past the decimal point.

1 \text { in. } \mathrm{H}_{2} \mathrm{O}=248.8 \mathrm{~Pa}

1 \mathrm{~m}^{3} / \mathrm{s}=2,118.9 \mathrm{ft}^{3} / \mathrm{min}

\left(\mathrm{lb} / \mathrm{ft}^{3}\right) \times 16.0187=\left(\mathrm{kg} / \mathrm{m}^{3}\right)

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