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MATLAB pleaae answer correctly Q1 (5 pt). Water in a tank is allowed to flow through an orifice, thus lowering the elevation of the free

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Q1 (5 pt). Water in a tank is allowed to flow through an orifice, thus lowering the elevation of the free surface. The elevation of the free surface above the orifice is measured as a function of time. The purpose is to determine the discharge coefficient, Cd, for the orifice that best fits the experimental data. The governing equation for the height, heq, of the free surface above the orifice as a function of time is: heq=hcq,02ATCdA02gt where Cd= the discharge coefficient. heq,0= the fluid level in the tank at time, t=0. A0= the area of the orifice with a diameter D=0.0055, AT= the cross-sectional area of the tank with a diameter Dt=0.146. The experimental data of hexp vs. t follows: t=[0102030405060708090100110120130140150160170180190200]: You are asked to calculate hcq, then determine the mse for each Cd varying from 0.3 to 0.9 in steps of 0.1. The equation for the m se is: t=[0102030405060708090100110120130140150160170180190200]; You are asked to calculate heq, then determine the mse for each Cd varying from 0.3 to 0.9 in steps of 0.1. The equation for the mse is: mse=N1i=1N[heq(ti)hexp(ti)]2 where N= the number of data points 180 he(t)=, the water level in the tank at t, as determined by the equation (1). heq(ti)= the water level in the tank at tt as determined by experiment

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