### ** NATIONWIDE AQUATIC CONSULTING **

Homework Day 1

Calculations

- How many pounds are there in 64 ounces?
- How many pounds are there in 176 ounces?
- How many gallons are there in 384 fluid ounces?
- How many gallons are there in 832 fluid ounces?
- What is the length, in feet, of a pool 40 yards long?
- What is the length, in feet, of a pool 50 yards long?
- What is the length, in feet, of a pool 40 meters long?
- What is the length, in feet, of a pool 50 meters long?
- What is the surface area of a rectangular pool with a length of 20 yards and a width of 30 feet?
- What is the surface area of a rectangular pool with a length of 10 meters and a width of 20 feet?
- What is the surface area a circular spa with a 12 foot diameter?
- What is the surface area a circular spa with a 9 foot diameter?
- What is the volume of a rectangular pool with a length of 40 feet, a width of 20 feet, and a constant depth of 5 feet?
- What is the volume of a rectangular pool with a length of 32 feet, a width of 16 feet, and a depth ranging from 3 feet in the shallow end to 6 feet in the deep end?
- What is the volume of a rectangular pool with a length of 25 yards and a width of 45 feet? The pool has a swimming area that is 10 yards long that has a depth ranging from 3 feet to 5 feet, with a constant slope. The diving area has a length of 15 yards and a constant depth of 12 feet.
- What is the volume of a rectangular pool with a length of 45 yards and a width of 65 feet? The pool has a swimming area that is 25 yards long that has a depth ranging from 4 feet to 6 feet, with a constant slope. The diving area has a length of 20 yards and a constant depth of 15 feet.
- A pool 40 feet long and 20 feet wide lost 3 inches of water over the weekend. How many gallons of water must be replaced?
- A pool 25 yards long and 25 meters feet wide uses two inches of water every backwash. How many gallons of water must be replaced?
- A pool has a maximum bather load of 180 bathers. What should the storage capacity (in gallons) of the surge tank be?
- A pool has a maximum bather load of 220 bathers. What should the storage capacity (in gallons) of the surge tank be?
- What is the turnover rate of a 80,000 gallon pool with a flow rate of 167 gpm?
- What is the turnover rate of a 150,000 gallon pool with a flow rate of 417 gpm?
- What is the flow rate of a 50,000 gallon pool based on an 8 hour turnover rate?
- What is the flow rate of a 120,000 gallon pool based on an 6 hour turnover rate?
- What is the filter surface area needed for a high-rate sand filter that has a filtering rate of 15 gpm/sqft, if the flow rate is 313 gpm?
- What is the filter surface area needed for a DE filter that has a filtering rate of 2.5 gpm/sqft, if the flow rate is 80 gpm?
- What is the filter surface area needed for cartridge filter that has a filtering rate of .375 gpm/sqft, if the flow rate is 120 gpm?
- How many BTU's are needed to raise the water temperature of 700 gallon spa from 82°to 104°?
- How many BTU's are needed to raise the water temperature of 50,000 gallon pool from 60° to 84°?
- If a 950 gallon spa has an average of 23 bathers per day, how many days before the water should be replaced?
- If a 1350 gallon spa has an average of 63 bathers per day, how many days before the water should be replaced?
- Calculate the Saturation Index for water that has a pH of 7.6, a temp- erature of 104°F, a calcium hardness of 400 ppm, a total alkalinity of 150 ppm and total dissolved solids of 800 ppm. Corrosive or Scale forming?
- Calculate the Saturation Index for water that has a pH of 7.0, a calcium hardness of 100 ppm, total alkalinity of 50 ppm, a temperature of 84°F, and total dissolved solids of 1400ppm. Corrosive or Scale forming?
- Calculate the Saturation Index for water that has a temperature of 66°F, and total dissolved solids of 200 ppm, a total alkalinity of 25 ppm, a pH of 7.0, and a calcium hardness of 50 ppm. Corrosive or Scale forming?

Answers

- Ounces ÷ 16 = Pounds
- 1. 64 ÷ 16 = 4 Pounds
- 2. 176 ÷ 16 + 11 Pounds
- Fluid ounces ÷ 128 = Gallons
- 3. 384 ÷ 128 = 3.0 Gallons
- 4. 832 ÷ 128 = 6.5 Gallons
- Yards x 3 = Feet
- 5. 40 yards x 3 = 120 Feet
- 6. 50 yards x 3 = 150 Feet
- Meters x 3.28 = Feet
- 7. 40 meters x 3.28 = 131 Feet
- 8. 50 meters x 3.28 = 164 Feet
- Length X Width = Surface Area in Square Feet
- 9. ( 20 yards x 3= ) 60 feet x 30 feet = 1800 Square Feet
- 10. (10 meters x 3.28=) 33 feet x 20 feet = 660 Square Feet
- 3.14 X radius X radius = Surface Area in Square Feet
- 11. 3.14 X 6 X 6 = 113 Square feet
- 12. 3.14 X 4.5 X 4.5 = 64 Square Feet
- Length X Width X Depth X 7.5 = Gallons
- 13. 40 Feet x 20 Feet x 5 Feet x 7.5 = 30,000 Gallons
- Length X Width X Ave. depth (shallow + deep ÷ 2) X 7.5 = Gallons
- 14. 32 Feet x 16 Feet x
**4.5**feet ( 3 + 6 = 9, 9÷2 =**4.5**) x 7.5 = 17,280 Gallons - Swimming Area (SA)
- Length X Width X Ave. depth (shallow + deep ÷ 2) X 7.5 = Gallons
- 30 Ft x 45 Feet x
**4**Feet (3 + 5 = 8, 8 ÷ 2 =**4**) x 7.5 Feet = 40,500 Gallons - Diving Area (DA)
- Length X Width X Depth X 7.5 = Gallons
- 45 Ft x 45 Feet x 12 Feet x 7.5 = 182,250 Gallons
- Total Pool Volume in Gallons
- 15. 40,500 Gallons (SA) + 182,250 Gallons (DA) = Total Pool
**222,750 Gallons** - Swimming Area (SA)
- Length X Width X Ave. depth (shallow + deep ÷ 2) X 7.5 = Gallons
- 75 Ft x 65 Ft x
**5**Ft (4 + 6 = 10, 10 ÷ 2 =**5**) x 7.5 Feet = 182,813 Gallons - Diving Area (DA)
- Length X Width X Depth X 7.5 = Gallons
- 60 Ft x 65 Feet x 15 Feet x 7.5 = 438,750 Gallons
- Total Pool Volume in Gallons
- 16. 182,813 Gals (SA) + 438,750 Gals (DA) = Total Pool
**621,563 Gallons** - Length x Width x 0.0833 x 7.5 = Gallons per one inch
- 17. 40 Ft x 20 Ft x 0.0833 x 7.5 = 500 Gallons x 3 inches = 1500 Gallons
- 18. 75 Ft (25x3) x 82 (25x3.28) x 0.0833 x 7.5 = 3842 Gals x 2 ins = 7684 Gals
- # of Bathers x 20 = Gallons
- 19. 180 x 20 = 3600 Gallons
- 20. 220 x 20 = 4400 Gallons
- Volume ÷ Flow Rate ÷ 60 = Turnover Rate (in hours)
- 21. 80,000 ÷ 167 ÷ 60 = 8 Hours
- 22. 150,000 ÷ 417 ÷ 60 = 6 Hours
- Volume ÷ Turnover Rate (in hrs) ÷ 60 = Flow Rate in Gallons per Minute
- 23. 50,000 ÷ 8 ÷ 60 = 104 Gallons per Minute GPM
- 24. 120,000 ÷ 6 ÷ 60 = 333 GPM
- Flow Rate ÷ Filtering Rate (FMR) = Square Feet
- 25. 313 gpm ÷ 15 gpm/sqft = 21 Sqft.
- 26. 80 gpm ÷ 2.5 gpm/sqft = 32 Sqft.
- 27. 120 gpm ÷ .375 gpm/sqft = 320 Sqft.
- Gallons x 8.33 x °change = BTU's
- 28. 700 gallons x 8.33 x 22 (104 - 82) = 128,282 BTU's
- 29. 50,000 gallons x 8.88 x 24 (84-60) = 9,996,000 BTU's
- Gallons ÷ 3 ÷ # of Bathers = Days
- 30. 950 gallons ÷ 3 ÷ 23 = 14 Days
- 31. 1350 gallons ÷ 3 ÷ 63 = 7 Days
- pH + TF + CF + AF - TDSF = Saturation Index
- 32. 7.6 + 0.9 + 2.2 + 2.2 - 12.1 = 0.8 SI = +0.8, Scale Forming
- pH + TF + CF + AF - TDSF = Saturation Index
- 33. 7.0 + 0.7 + 1.6 + 1.7 - 12.2 = -1.2 SI = -1.2, Corrosive
- pH + TF + CF + AF - TDSF = Saturation Index
- 34. 7.0 + 0.5 + 1.3 + 1.4 - 12.1 = -1.9SI = -1.9, Corrosive.