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A tailings solution (density = 1450 kg/m3) is flowing steadily from left to righ

ID: 1862556 • Letter: A

Question

A tailings solution (density = 1450 kg/m3) is flowing steadily from left to right and

the pipe is narrowing in the same direction. Pipe dimension at section 1 & 2 are 300

mm & 125 mm, respectively. If liquid velocity at section 1 is 0.5 m/s, obtain velocity

at section 2 and discharge in the pipe.

Now assume the following periodic signal was applied at the input of the above system. Expand the function x[t) in a "trigonometric Fourier Series" and find the corresponding Fourier Series Coefficients. What is the output of the system (write the first four terms of the output) Expand the function x[t) in a "Complex Exponential Fourier Series." Verify the relations between the "Trigonometric Fourier Series" coefficients and the "Complex Exponential Fourier Series" coefficients. Sketch the magnitude and the phase of the Complex Exponential Fourier Series coefficients and verify using Matlab code and graphics.

Explanation / Answer


from equation of continuty.......

A1*V1=A2*V2.......(1)


given the diameter at section 1 is 300mm..radius r1=300/2=150mm

r2=125/2=62.5mm

from equation (1)

pi*r1^2*V1=pi*r2^2*V2...........


v2=2.88 m/sec

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