Kinetic Friction Video Lessons

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Problem: Calculate the velocity of a spherical raindrop falling from 5.4 km.Take the size across the rain drop to be 3.2 mm, the density of air to be 1.25 kg/m3, density of water to be 1000 kg/m3, the surface area to be πr2, and the drag coefficient to be 1.0.

FREE Expert Solution

The volume of a sphere:

V=43πr3

Terminal velocity:

v=2mgμρA

Density:

ρ=massvolume

The diameter of raindrop, d = 3.2 mm (1m/1000mm) = 0.0032 m

r = d/2 = 0.0032/2 = 0.0016 m

mass, m = ρwater•V = 1000 × (4/3)π × (0.0016)3 = 1.716 × 10-5 kg

Cross sectional area, A = πr2 = π(0.0016)2 = 8.042 × 10-6 m2 

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Problem Details

Calculate the velocity of a spherical raindrop falling from 5.4 km.

Take the size across the rain drop to be 3.2 mm, the density of air to be 1.25 kg/m3, density of water to be 1000 kg/m3, the surface area to be πr2, and the drag coefficient to be 1.0.

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