where h is the height of the water, t is time (in sec) and g is gravitational acceleration = 9.8 m/sec?. Find the level of the water in the tank at t = 3 sec using Ralston's %D method with 2 iterations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A cylindrical tank with diameter D (= 0.3 meter) filled with water of height ho (= 0.25
meter) is being drained out through a cylindrical outlet of diameter d (= 0.025 meter)
at the bottom side of the tank.
h.
The rate of water draining from the tank is given by
2
dh
:= -/2g G) h(t)
dt
where h is the height of the water, t is time (in sec) and g is gravitational acceleration
= 9.8 m/sec. Find the level of the water in the tank at t = 3 sec using Ralston's
method with 2 iterations.
Transcribed Image Text:A cylindrical tank with diameter D (= 0.3 meter) filled with water of height ho (= 0.25 meter) is being drained out through a cylindrical outlet of diameter d (= 0.025 meter) at the bottom side of the tank. h. The rate of water draining from the tank is given by 2 dh := -/2g G) h(t) dt where h is the height of the water, t is time (in sec) and g is gravitational acceleration = 9.8 m/sec. Find the level of the water in the tank at t = 3 sec using Ralston's method with 2 iterations.
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