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Water flows from an inverted conical tank with circular orifice at the rate = -0.6Tr? /29A) where r is the radius of the orifice, x is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of the tank x units above the orifice. Suppose r = 0.1ft g = 32.1ft/s?, and the tank has an initial water level of 8ft and initial volume of 512(T/3)ft°. Use the Runge-Kutta method of order four to find the following: a. The water level after 10 min with h = 20s

Water flows from an inverted conical tank with circular orifice at the rate = -0.6Tr? /29A) where r is the radius of the orifice, x is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of the tank x units above the orifice. Suppose r = 0.1ft g = 32.1ft/s?, and the tank has an initial water level of 8ft and initial volume of 512(T/3)ft°. Use the Runge-Kutta method of order four to find the following: a. The water level after 10 min with h = 20s

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Water flows from an inverted conical tank with circular orifice at the rate = -0.67r? /2g E dt A(x) where r is the radius of the orifice, x is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of 32.1ft /s?, and the tank has an initial water level of 8ft and initial volume of the tank x units above the orifice. Suppose r = - 0.1ft g = 512(T/3)ft°. Use the Runge-Kutta method of order four to find the following: a. The water level after 10 min with h = 20s
Transcribed Image Text:Water flows from an inverted conical tank with circular orifice at the rate = -0.67r? /2g E dt A(x) where r is the radius of the orifice, x is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of 32.1ft /s?, and the tank has an initial water level of 8ft and initial volume of the tank x units above the orifice. Suppose r = - 0.1ft g = 512(T/3)ft°. Use the Runge-Kutta method of order four to find the following: a. The water level after 10 min with h = 20s
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