The velocity of water, v (m/s), discharged through a cylinder can be computed as f(H)= V2gH...

 

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The velocity of water, v (m/s), discharged through a cylinder can be computed as f(H)= V2gH tanh ( 2gH 2L t V Where g = 9.81 m/s, H = initial head (m), L = pipe length (m), and t = elapsed time (s). a) Develop a MATLAB script that plots the function f(H) versus H for H = 0 to 4 m. Make sure to label the plot. b) Develop a MATLAB script that determines the initial head needed to achieve v = 5 m/s in 2.5 s for a 50 m-long pipe using bisection method with initial guesses of x = 0 and x = 4 m and e, = 0.0000001. The velocity of water, v (m/s), discharged through a cylinder can be computed as f(H)= V2gH tanh ( 2gH 2L t V Where g = 9.81 m/s, H = initial head (m), L = pipe length (m), and t = elapsed time (s). a) Develop a MATLAB script that plots the function f(H) versus H for H = 0 to 4 m. Make sure to label the plot. b) Develop a MATLAB script that determines the initial head needed to achieve v = 5 m/s in 2.5 s for a 50 m-long pipe using bisection method with initial guesses of x = 0 and x = 4 m and e, = 0.0000001.