FYKOS Year 25 Series 3 Problem 2 — river ride · FYKOS 25 #25.3.2

Physics · mechanics

Problem

Lock is placed in a dam on a river in order for ships to be able to pass through. Assume the river has a flow rate of

Q=200m⁄s

and that the lock connects places with height difference

H=4\;\mathrm{m}

and has dimensions

s=100\;\mathrm{m}

d=20\;\mathrm{m}

. How many ships per day can this lock transport from the lower place to the higher place if the maximum flow rate in and out of the lock is

Q_{Z}=250m⁄s?