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Problem 4 The velocity of water, v, in (m/s) is being discharged from a cylindrical tank through a long pipe and can be computed as |2gH v = V28H tanh(- Where g = 9.81 m/s2, H initial head (m), L = pipe length (m), and t elapsed time (s). Determine the initial head needed to achieve v = 5 m/s in 2.5 s for a 4-m long pipe. Design the tank with a maximum height of 4 m. Use a tolerance of 10-6. The answer must be accurate up to 6 decimal places. %3D

Problem 4 The velocity of water, v, in (m/s) is being discharged from a cylindrical tank through a long pipe and can be computed as |2gH v = V28H tanh(- Where g = 9.81 m/s2, H initial head (m), L = pipe length (m), and t elapsed time (s). Determine the initial head needed to achieve v = 5 m/s in 2.5 s for a 4-m long pipe. Design the tank with a maximum height of 4 m. Use a tolerance of 10-6. The answer must be accurate up to 6 decimal places. %3D

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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Problem 4 The velocity of water, v, in (m/s) is being discharged from a cylindrical tank through a long pipe and can be computed as /2gH V28H tanh(1 2L V = Where g = 9.81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Determine the initial head needed to achieve v = 5 m/s in 2.5 s for a 4-m long pipe. Design the tank with a maximum height of 4 m. Use a tolerance of 10-6. The answer must be accurate up to 6 decimal places.
Transcribed Image Text:Problem 4 The velocity of water, v, in (m/s) is being discharged from a cylindrical tank through a long pipe and can be computed as /2gH V28H tanh(1 2L V = Where g = 9.81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Determine the initial head needed to achieve v = 5 m/s in 2.5 s for a 4-m long pipe. Design the tank with a maximum height of 4 m. Use a tolerance of 10-6. The answer must be accurate up to 6 decimal places.
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