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

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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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