Discussion
Which principle does Archimedes' result express for a parcel of air?
Answer: D
The net upward force on a parcel is the weight of the air it displaces, so a parcel less dense than its surroundings rises and one denser than its surroundings sinks. Buoyancy is exactly the residual left when hydrostatic balance is subtracted from the vertical momentum equation, which is why the two ideas are inseparable. Expressing the result per unit mass gives an acceleration proportional to the fractional density difference, which for the atmosphere is more conveniently written in terms of virtual temperature.
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