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In the transmission of infectious diseases, aerosolised droplets (from coughing and sneezing) are an important potential...

In the transmission of infectious diseases, aerosolised droplets (from coughing and sneezing) are an important potential mode of transmission.

The size of droplets is critical, as the size dictates the rate at which droplets settle to surfaces under the action of gravity. You have been tasked with determining the settling rate (terminal velocity) of aerosolized droplets. The droplets may be assumed to be spherical, and have the properties of water (ρ=1000 kg/m3, μ=0.001 Pas). The droplets can be assumed to be settling in a quiescent atmosphere at standard temperature and pressure.

Determine the length of time droplets of the following sizes (at their terminal velocity) take to fall a distance of 1.0 m:

• 1μm

• 200μm

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