how important is the force of gravity to the motion of bacteria through air, compared to the force exerted by the motion of the air itself? in other words, consider the terminal velocity of the bacteria, and compare it to your estimate of the speed with which air moves in a typical room.

Terminal velocity is the maximum velocity an object can reach when falling through a liquid. Occurs when the sum of drag and buoyancy equals the downward force of gravity acting on an object. Since the net force on the object is zero, the acceleration of the object is zero. Air resistance to the movement of an object in free fall depends on many factors, including: Object size, shape, air density and temperature, and free-falling object velocity.

The bacterial terminal velocity can be calculated as:

v = mg/6 x π x η x R,

where v is the final velocity,

η is the viscosity of air

m is the effective mass

The bacterial load is too low and can be considered negligible. Therefore, its terminal velocity is meaningless compared to the air velocity in the room.

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