Advanced Waterworks Mathematics, 2019a

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Pressure = 396 ft 0.433 psi 1 1 ft 171.468 psi = 171.5 psi 5. Two houses are served by a nearby water storage tank. House A is 108 ft above House B which sits at 432 ft above sea level. The base of the tank sits at 705 ft above sea level. The low water level in the tank is at 2.0 ft. At the low level, will House A meet the minimum pressure requirements of 60 psi? Water Elevation = 705 ft + 2 ft = 707 ft Elevation at home A = 432 ft + 108 ft = 540 ft Water Elevation at the home = 707 ft - 540 ft = 167 ft 167 ft 1 psi Pressure = 72.29437 psi = 72.3 psi 1 2.31 ft 167 ft 0.433 psi Pressure = 72.311 psi = 72.3 psi 1 1 ft YES! 6. House A sits at an elevation of 1,300 ft. Another house (B) needs to be built 125 ft below House A. At what elevation should the tank be built in order to give House B the maximum pressure of 210 psi? ? ft 1 psi Pressure = 210 psi 1 2.31 ft 2.31 ft ? ft = 210 psi = 485.1 ft 1 psi Tank Elevation = 1,175 ft + 485.1 ft = 1,660.1 ft = 1,660 ft 7. A flowing pipeline has a pressure of 65 psi and a corresponding force of 2,398 pounds. What is the diameter of the pipe? Force = Pressure Area 65 psi Area 2,398 lbs 2,398 lbs 1 ft Area = 36.8923 in = 0.2561965 ft = 0.26 ft 65 psi 144 in 2 Area of a Circle/Pipe = 0.785 D Area 0.26 ft D = = = 0.33121019 ft 0.785 0.785 2 2 2 2 2 2 2 2 336 | A dvanced Waterworks Mathematics
2 2 D = 0.33121019 ft 12 in D = 0.5755086 ft 1 ft = 6.906 in = 7.0 in 337 | 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
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UNIT 11 11.1 PER CAPITA WATER USE A
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That’s a lot of gallons. This is
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Green Building Code) has resulted i
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Practice Problems 11.1 1. What is t
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7. A water district has a goal of 1
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4. How much water would a family of
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UNIT 12 12.1 BLENDING AND DILUTING
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To determine the percentage of Sour
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Practice Problems 12.1 1. A well ha
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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
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
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Page 315 and 316: Weir Length (ft) = 4,791.67 gpm 41
Page 317 and 318: quality objectives of a certain tre
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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
Page 333 and 334: Location and Type of Disinfection T
Page 335: Practice Problems 8.1 1. What is th
Page 339 and 340: 5. A water utility has two differen
Page 341 and 342: gpm Specific Capacity = ft 717.5 gp
Page 343 and 344: Practice Problems 10.1 1. What is t
Page 345 and 346: 3. A well with pumps located 46 ft
Page 347 and 348: (630 gpm)(130 ft) 65 hp = (3,960)(?
Page 349 and 350: electrical rate of $0.111 per kW-Hr
Page 351 and 352: (flow rate in gallons per minute)(t
Page 353 and 354: 2 flushes per family member 6 famil
Page 355 and 356: Practice Problems 12.1 1. A well ha
Page 357 and 358: -137.5 mg/L ? mg/L = = 275 mg/L - (
Page 359 and 360: Practice Problems 13.1 1. A 4-20 mA
Page 361 and 362: 7. A water utility uses a 4-20 mA s
Page 363 and 364: NEW PUMP: (450 gpm)(65 ft) Motor hp
Page 365 and 366: Total operational cost per year. $2
Page 367 and 368: CT TABLES APPENDIX 367 | A dvanced
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Advanced Waterworks Mathematics, 2019a

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