A spherical tank is emptied through a small circular hole at the bottom. The water level, h, measured from the bottom of the tank, can be determined from the solution of the following ODE: dh dt r²√√2gh 2hRh² where R is the radius of the tank, r is the radius of the hole and g = 9.81 m/s². Let R = 4m, r = 0.02m and h = 6m at time t = 0s. Use the midpoint method with step size 10s to find the time required to drain the tank to a level of h =0.5m. Print the result.
A spherical tank is emptied through a small circular hole at the bottom. The water level, h, measured from the bottom of the tank, can be determined from the solution of the following ODE: dh dt r²√√2gh 2hRh² where R is the radius of the tank, r is the radius of the hole and g = 9.81 m/s². Let R = 4m, r = 0.02m and h = 6m at time t = 0s. Use the midpoint method with step size 10s to find the time required to drain the tank to a level of h =0.5m. Print the result.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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