Advanced Waterworks Mathematics, 2019a

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3. A utility has annual operating expenses of $3.4 million and a need for $1.2 million in capital improvements. The current water rate is $1.55 per CCF. Last year the utility sold 6550 AF of water and did not meet their capital budget need. How much does the utility need to raise rates in order to cover both the operational and capital requirements? (Round your answer to the nearest cent.) 4. In the question above, how much would the utility need to raise their rates to meet their operational and capital requirements and add approximately $100K to a reserve account? 282 | A dvanced Waterworks Mathematics
5. A 250 hp well operates 9 hours a day and flows 2,050 gpm. The electricity cost is $0.135 per kW-Hr. The well is also dosed with a 65% calcium hypochlorite tablet chlorinator to a dosage of 1.25 ppm. The tablets cost $1.85 per pound. The labor burden associated with the well maintenance is $75 per day. What is the total operating expense for this well in one year? 6. In the question above, what is the cost of water per acre-foot? 283 | 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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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
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Exercise 6.2 1. A water treatment p
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7. An Engineer is designing a circu
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Pin It! Misconception Alert Sometim
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Next, there are two crucial terms t
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Finding the Correct CT Table Typica
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and resulting disinfection inactiva
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plant maintains a chloraminated res
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5. A conventional water treatment p
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7. A direct filtration plant is ope
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4. A conventional water treatment p
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6. A direct filtration water treatm
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UNIT 8 8.1 PRESSURE Pressure is the
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From this example, it is clear that
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5. Two houses are served by a nearb
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8.2 HEAD LOSS As water travels thro
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Friction will need to be added at t
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3. A well located at 200 feet above
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UNIT 9 9.1 WELL YIELD, SPECIFIC CAP
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Cone of Depression The triangular s
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Practice Problems 9.1 1. A well has
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7. A well has a specific capacity o
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4. A well has an hour meter attache
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UNIT 10 10.1 HORSEPOWER AND EFFICIE
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The above equation is used to calcu
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Practice Problems 10.1 1. What is t
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Exercise 10.1 Calculate the require
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10.2 HEAD LOSS AND HORSEPOWER As di
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Practice Problems 10.2 1. A well is
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Exercise 10.2 Calculate the followi
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10.3 CALCULATING POWER COSTS It is
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93.25 kW $ 0.088 8.33 hr $ 68.35
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Practice Problems 10.3 1. A well fl
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4. A well draws water from an aquif
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7. Complete the table below based o
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Exercise 10.3 Solve the following p
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4. A well draws water from an aquif
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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
Page 251 and 252: 3. A well with a PCE level of 7.5 u
Page 253 and 254: UNIT 13 13.1 SCADA AND THE USE OF M
Page 255 and 256: ottom to what is referred to as the
Page 257 and 258: mA (reading) - mA (offset) = percen
Page 259 and 260: 4. A water tank is 52 ft tall and h
Page 261 and 262: 8. A chemical injection system is m
Page 263 and 264: 4. A water tank is 45 ft tall and h
Page 265 and 266: 8. A chemical injection system is m
Page 267 and 268: mean extra funds to pay for securit
Page 269 and 270: Per the table, the total annual bud
Page 271 and 272: Pumps and Motors: $72,000 x% $6,2
Page 273 and 274: Variable Costs Reason 273 | A dvanc
Page 275 and 276: Practice Problems 14.1 1. A utility
Page 277 and 278: 3. A utility has annual operating e
Page 279 and 280: 7. A small water company has a tota
Page 281: 2. A pump that has been in operatio
Page 285 and 286: PRACTICE PROBLEM SOLUTIONS Practice
Page 287 and 288: 3.1 cf 3,600 sec 10 hr 7.48 gal 30
Page 289 and 290: 1,346,400 gal 1 AF 365 day day 3
Page 291 and 292: Practice Problems 2.1 1. What is th
Page 293 and 294: Practice Problems 2.2 1. What is th
Page 295 and 296: Practice Problems 2.3 1. A water ut
Page 297 and 298: 3 22 ft 217,800.13 ft = depth ft
Page 299 and 300: Q (cfs) 3.18 cfs A (ft ) = = = 1.17
Page 301 and 302: 5. The specific gravity of 25% Alum
Page 303 and 304: To convert ppb to ppm, you divide p
Page 305 and 306: Practice Problems 3.3 1. How many g
Page 307 and 308: Practice Problems 4.1 1. How many g
Page 309 and 310: 6.35 MG 8.34 lbs 2,914.5 lbs ppm
Page 311 and 312: 8. A water utility produced 6,000 A
Page 313 and 314: 72,327.816 lbs 72,327.816 lbs 72,32
Page 315 and 316: Weir Length (ft) = 4,791.67 gpm 41
Page 317 and 318: quality objectives of a certain tre
Page 319 and 320: 12 MG 1,000,000 gal 1 day 1 hour
Page 321 and 322: 8. A circular clarifier processes 9
Page 323 and 324: 4. A water treatment plant processe
Page 325 and 326: 4,700,000 gal 1 day ? min = 1,554.
Page 327 and 328: 4. A conventional water treatment p
Page 329 and 330: Now look at Table C-7 Inactivation
Page 331 and 332: 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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