For this lab, a hypothetical system is created so that a system curve can be calculated. Assume that you have a system that delivers water from a lower reservoir (open to the atmosphere) at elevation 0-ft to a higher reservoir (also open to the atmosphere) at and elevation of 3-ft using a 1-inch diameter pipe made of new cast iron ( = 1 % 1073 ft). The pipe is 470 ft long. All minor losses are negligible. To develop the system curve, first, write down the energy equation for the system and neglect minor losses: heys = Az + hy For our hypothetical system, Az = 3 ft (the difference in elevation between the two reservoirs) and the friction loss is: Ly? hy = f r=Ip3 > For our hypothetical system, L = 470 ft,D = 1", and V = /A where A = %Dz. The friction factor f can be calculated through any of the methods described above (Moody diagram or Swamee-Jain equation). \fAnalysis: 1. Plot the system curve for multiple flowrates from 0 GPM to 8 GPM. (See instructions in the \"Background\" and "Description of the System"\" section. Fit a curve to your data. 2. For each flowrate, calculate the pump head by: Pout Pin hp = r Where y = 62.4 lb/ft? for water. 3. Add the pump head hp and flowrate datapoints to your system curve. Fit a curve to your data. Your plot should now have two curves: a system curve (step 1), and a pump curve (step 2). 4. Find the point of intersection between the two curves. 5. Determine the operating flowrate and pump head for this pump and system (these are the @ and hp values at the point of intersection). 6. Based on your findings, is the pump you used appropriate for the hypothetical system? Why or why not