Bus driving in rain water collection · Physics Brawl 2014 #FoL.10

Physics · mechanics

Problem

Find the total volume of water (in litres) that falls down on a Karosa 700 type bus as it travels for an hour at a speed of

v_b = 50

km·h

^{-1}

. Assume the bus to be of a cuboid shape with height

h = 4

m, width

w = 2.5

m and length

l = 12

m. The rain falls vertically downwards with speed

v_r = 10

m·s

^{-1}

and flux (that is, the volume of water crossing a unit area perpendicular to the velocity of the falling rain, per unit time)

Q = 5

mm·h

^{-1}