Some Workout Problems on Motion of Raindrop

Abstract

The motion of rain drop through atmosphere is an interesting classical problem because of the fact that air resistance and moisture accretion are integral part of it. Mathematical modeling of it using Newtonian formalism is considered here and discussions are made for no mass accretion and air resistance proportional to nth power of velocity. We use python program and library extensively to find the terminal velocity of rain drop. Graphs show close agreement and velocity power up to n=3 is good. Keywords— Rain drop, terminal velocity, air resistance, mass accretion. _________________________________________________________________________________