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Water flows from an inverted conical tank with circular orifice at the rate dx *= -0.6zr*/29 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 arez of the cross section of the tank x units above the orifice. Supposer = 0.1 ft, g = 32.1 ft/s, and the tank has an initial water level of 8 ft and the initial volume of 512 (7/3) ft. Use the Runge-Kutta method of order four to find the following a. The water level after 10 min with h = 20 s b. The time: when the tank will be empty.

Water flows from an inverted conical tank with circular orifice at the rate dx *= -0.6zr*/29 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 arez of the cross section of the tank x units above the orifice. Supposer = 0.1 ft, g = 32.1 ft/s, and the tank has an initial water level of 8 ft and the initial volume of 512 (7/3) ft. Use the Runge-Kutta method of order four to find the following a. The water level after 10 min with h = 20 s b. The time: when the tank will be empty.

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 dx 0.6r dt 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 arez of the cross section of the tank x units above the orifice. Suppose r = 0.1 ft, g = 32.1 ft/s", and the tank has an initial water level of 8 ft and the initial volume of 512 (1/3) ft. Use the Runge-Kutta method of order four to find the following a. The water level after 10 min with h = 20 s b. The time t when the tark will be empty.
Transcribed Image Text:Water flows from an inverted conical tank with circular orifice at the rate dx 0.6r dt 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 arez of the cross section of the tank x units above the orifice. Suppose r = 0.1 ft, g = 32.1 ft/s", and the tank has an initial water level of 8 ft and the initial volume of 512 (1/3) ft. Use the Runge-Kutta method of order four to find the following a. The water level after 10 min with h = 20 s b. The time t when the tark will be empty.
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