The volume of a sphere:
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
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.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Kinetic Friction concept. You can view video lessons to learn Kinetic Friction. Or if you need more Kinetic Friction practice, you can also practice Kinetic Friction practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Heyward's class at NCSU.