Advanced Waterworks Mathematics, 2019a

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7. A well has a specific capacity of 42 gpm per foot. The well operates at a constant 1,500 gpm. What is the drawdown? 8. A well has a calculated specific capacity of 30 gpm per foot and operates at a flow rate of 1.08 MGD. If the static water level is 28 ft bgs, what is the pumping level? 200 | A dvanced Waterworks Mathematics
UNIT 10 10.1 HORSEPOWER AND EFFICIENCY We discussed the theory of pressure in both feet (head pressure) and psi (pounds per square inch.) In this unit, we will look at the “power” requirements to move water with pumps and motors. How does water get to the customer’s home? Water pressure is typically provided to customers because of differences in elevation with above ground tanks, reservoirs, elevated storage tanks. In the Santa Clarita, tanks are clearly visible on the hill tops surrounding the valley floor, which creates water pressure to the customer’s home Figure 10.1 42 Most water utilities have maps that show how pressure is broken into different zones with mechanisms for moving water between points within each zone. Moving water throughout the zones within the overall system is something that is carefully considered by distribution operators during daily work as well as during the design of the system itself or new portions of the system. 42 Photo used with permission of SCV Water 201 | A dvanced Waterworks Mathematics
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1 | A dvanced Waterworks Mathematic
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Acknowledgements College of the Can
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Unit 10 201 10.1 Horsepower and Eff
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Multiple units may need to be conve
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Practice Problems 1.1a Show how eac
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Word problems may involve unit conv
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6. A pipe flows at a rate of 6.3 cf
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6. A well flows at a rate of 1,250
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Well 2: Total Flow in MGD 1,000 gal
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Practice Problems 1.2 1. A water ut
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3. A water utility has 12,300 servi
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The shape of a tank is often a cyli
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Circles A circle is a round figure
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Example: What is the area of an 813
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Trapezoids Trapezoids are four-side
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Figure 2.9 9 Circumference of a Cir
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The formula for the area of a spher
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Example: What is the entire interio
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Practice Problems 2.1 1. What is th
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8. What is the entire interior surf
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5. A standpipe needs to be painted.
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Then, calculate the volume of the t
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2 1 2 Trapezoidal Prism = H L 8.5
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Exercise 2.2 1. What is the volume
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2.3 AREA AND VOLUME WORD PROBLEMS W
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Figure 2.20 19 Step 4: Put the info
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Step 3: Make a sketch to clarify th
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Figure 2.22 21 When looking at a pr
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Calculate the volume of the cylinde
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4. A water tank truck delivered 30
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Exercise 2.3 1. A water utility ope
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6. A private contractor needs water
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2.4 FLOW RATE Flow rate is the meas
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Key Terms circumference - the dist
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4. What is the diameter of a pipe t
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4. What is the diameter of a pipe t
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Substance Specific Gravity Weight C
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5. The specific gravity of 25% Alum
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To convert between a percentage and
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And now we are moving to the row fo
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Practice Problems 3.2 1. An 87.5% c
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Exercise 3.2 Solve the following pr
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3.3 MIXING AND DILUTING SOLUTIONS T
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Total Volume of the new solution is
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3. A chlorine storage tank that is
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3. A chlorine storage tank that is
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The following charts or Pie Wheels
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At only a 10% concentration, you wi
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Now the question is asking how many
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Key Terms chlorine demand - the
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3. How many pounds of 24.5% sodium
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7. A water treatment operator adjus
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11. An operator added 422 gallons o
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3. How many pounds of 12.5% sodium
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7. A water treatment operator adjus
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11. An operator added 275 gallons o
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Weirs can either be sharp-crested o
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Weir Overflow Rate (gpm/ft) = ? gpm
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Key Terms weir - an overflow stru
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5. A treatment plant processes 8.4
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5. A treatment plant processes 15 M
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UNIT 6 6.1 DETENTION TIME Detention
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D = t Volume Flow gallons million
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Rearranging the terms in the detent
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3. A water utility engineer is desi
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7. A 70-foot diameter, 35-foot-deep
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3. A water utility engineer is desi
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7. The chlorine residual decay rate
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11. A circular clarifier processes
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Although filtration rates are commo
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Key Terms contact time - detenti
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4. A water treatment plant processe
Page 149 and 150: Exercise 6.2 1. A water treatment p
Page 151 and 152: 7. An Engineer is designing a circu
Page 153 and 154: Pin It! Misconception Alert Sometim
Page 155 and 156: Next, there are two crucial terms t
Page 157 and 158: Finding the Correct CT Table Typica
Page 159 and 160: and resulting disinfection inactiva
Page 161 and 162: plant maintains a chloraminated res
Page 163 and 164: Practice Problems 7.1 1. What is th
Page 165 and 166: 5. A conventional water treatment p
Page 167 and 168: 7. A direct filtration plant is ope
Page 169 and 170: 4. A conventional water treatment p
Page 171 and 172: 6. A direct filtration water treatm
Page 173 and 174: UNIT 8 8.1 PRESSURE Pressure is the
Page 175 and 176: From this example, it is clear that
Page 177 and 178: Practice Problems 8.1 1. What is th
Page 179 and 180: 5. Two houses are served by a nearb
Page 181 and 182: Exercise 8.1 Solve the following pr
Page 183 and 184: 8.2 HEAD LOSS As water travels thro
Page 185 and 186: Friction will need to be added at t
Page 187 and 188: 3. A well located at 200 feet above
Page 189 and 190: Exercise 8.2 Solve the following pr
Page 191 and 192: UNIT 9 9.1 WELL YIELD, SPECIFIC CAP
Page 193 and 194: Cone of Depression The triangular s
Page 195 and 196: Practice Problems 9.1 1. A well has
Page 197 and 198: 7. A well has a specific capacity o
Page 199: 4. A well has an hour meter attache
Page 203 and 204: The above equation is used to calcu
Page 205 and 206: Practice Problems 10.1 1. What is t
Page 207 and 208: Exercise 10.1 Calculate the require
Page 209 and 210: 10.2 HEAD LOSS AND HORSEPOWER As di
Page 211 and 212: Practice Problems 10.2 1. A well is
Page 213 and 214: Exercise 10.2 Calculate the followi
Page 215 and 216: 10.3 CALCULATING POWER COSTS It is
Page 217 and 218: 93.25 kW $ 0.088 8.33 hr $ 68.35
Page 219 and 220: Practice Problems 10.3 1. A well fl
Page 221 and 222: 4. A well draws water from an aquif
Page 223 and 224: 7. Complete the table below based o
Page 225 and 226: Exercise 10.3 Solve the following p
Page 227 and 228: 4. A well draws water from an aquif
Page 229 and 230: 7. Complete the table below based o
Page 231 and 232: UNIT 11 11.1 PER CAPITA WATER USE A
Page 233 and 234: That’s a lot of gallons. This is
Page 235 and 236: Green Building Code) has resulted i
Page 237 and 238: Practice Problems 11.1 1. What is t
Page 239 and 240: 7. A water district has a goal of 1
Page 241 and 242: 4. How much water would a family of
Page 243 and 244: UNIT 12 12.1 BLENDING AND DILUTING
Page 245 and 246: To determine the percentage of Sour
Page 247 and 248: Practice Problems 12.1 1. A well ha
Page 249 and 250: 5. Two wells need to achieve a dail
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3. A well with a PCE level of 7.5 u
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UNIT 13 13.1 SCADA AND THE USE OF M
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ottom to what is referred to as the
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mA (reading) - mA (offset) = percen
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4. A water tank is 52 ft tall and h
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8. A chemical injection system is m
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4. A water tank is 45 ft tall and h
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8. A chemical injection system is m
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mean extra funds to pay for securit
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Per the table, the total annual bud
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Pumps and Motors: $72,000 x% $6,2
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Variable Costs Reason 273 | A dvanc
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Practice Problems 14.1 1. A utility
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3. A utility has annual operating e
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7. A small water company has a tota
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2. A pump that has been in operatio
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5. A 250 hp well operates 9 hours a
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PRACTICE PROBLEM SOLUTIONS Practice
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3.1 cf 3,600 sec 10 hr 7.48 gal 30
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1,346,400 gal 1 AF 365 day day 3
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Practice Problems 2.3 1. A water ut
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3 22 ft 217,800.13 ft = depth ft
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Q (cfs) 3.18 cfs A (ft ) = = = 1.17
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To convert ppb to ppm, you divide p
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Practice Problems 3.3 1. How many g
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Practice Problems 4.1 1. How many g
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6.35 MG 8.34 lbs 2,914.5 lbs ppm
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8. A water utility produced 6,000 A
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72,327.816 lbs 72,327.816 lbs 72,32
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Weir Length (ft) = 4,791.67 gpm 41
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quality objectives of a certain tre
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12 MG 1,000,000 gal 1 day 1 hour
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8. A circular clarifier processes 9
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4. A water treatment plant processe
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4,700,000 gal 1 day ? min = 1,554.
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4. A conventional water treatment p
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Now look at Table C-7 Inactivation
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500 mg/L min CT is required. Locati
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Location and Type of Disinfection T
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2 2 D = 0.33121019 ft 12 in D = 0.5
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5. A water utility has two differen
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gpm Specific Capacity = ft 717.5 gp
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Practice Problems 10.1 1. What is t
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3. A well with pumps located 46 ft
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(630 gpm)(130 ft) 65 hp = (3,960)(?
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electrical rate of $0.111 per kW-Hr
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(flow rate in gallons per minute)(t
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2 flushes per family member 6 famil
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Practice Problems 12.1 1. A well ha
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-137.5 mg/L ? mg/L = = 275 mg/L - (
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Practice Problems 13.1 1. A 4-20 mA
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7. A water utility uses a 4-20 mA s
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NEW PUMP: (450 gpm)(65 ft) Motor hp
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Total operational cost per year. $2
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CT TABLES APPENDIX 367 | A dvanced
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Advanced Waterworks Mathematics, 2019a

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