Savchenko Problem 2.1.37

Physics · mechanics · thermodynamics

Problem

The force of air resistance acting on raindrops is proportional to the product of the square of the droplet velocity and the square of their radius: f = Aρ0\rho_0 r²v², where ρ0\rho_0 ≈\approx 1.3 kg/m³ is the air density, and the dimensionless coefficient A for round drops is of the order of 1. Which drops, large or small, fall to the ground with faster speed? Estimate the velocity of a drop of radius r = 1 mm when it falls from a great height. 34

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