Solve these 2 problems, please, and show work on paper.

Problem 3 (15 points) Water is discharged from a tank to the atmosphere at C. The volumetric flow rate is Q=0.475m' / s with the gate valve A fully open. The pipe is made of galvanized iron with a mean roughness & =0.15mm . The entrance to the pipe is sharp-edged with a minor loss coefficient of 0.5 and there are two 90-degree elbows. The free surface B is exposed to air. Neglect the minor loss associated with the exit. Find the pipe diameter d (Hint: Gate valve and elbow loss coefficient can be found from the table supplied below. You will need first to establish an eqgn. relating the diameter to the friction factor. Iterations may be needed to find the solution). B Loss coefficients for pipe fittings K 4m Gate valve fully opened 0.19 Globe valve fully opened 10 _ms Angle valve fully opened 5 Ball valve fully opened 0.05 6m Swing check valve 2 9% elbow (short radius) 09 A 90" long sweep elbow 0.6 ==_Datum 45 bend (short radius) 04 ra 1807 return bend (short radius) Tee for V along pipe run 0.4 fe-3 m == 8 m - Tee for V along branch 1.8 Problem 4 (15 points) A cast iron pipe having an inner diameter of 100mm, roughness 0.26mm and length 50m is used to fill the cylindrical tank with water, ( p=1000kg / m' , M=0.001kg / (m.s)). The pressure at A and B are both atmospheric. Water is drawn from a large reservoir so that the velocity at A can be approximated as zero and the flow can be treated as steady. Water will be filled in 6.5min to 3m depth in the tank which has a diameter of 2m. (a) Find the flow rate Q; (b) Find the required power output from the pump, Wp = pOgh,, with h, being the pump head. Neglect all minor losses. The head loss eqn. is: where h, = W / pQg,h, = W, / peg are the pump head and turbine head, respectively, with W,, W, being the pump power and turbine power. h friction includes both major and minor losses. - 2 m 12 m