Fall 2017 Diagnostics FORMULA SHEETS.doc

# Fall 2017 Diagnostics FORMULA SHEETS.doc - 1 FORMULAS...

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1 FORMULAS - MANITOBA CERTIFICATION EXAMINATIONS (Revised September 2006) AREAS Triangle Area (m 2 )=  ½  B x H B = length of base (m) H = height of triangle (m) Rectangle Area (m 2 ) = L x W L = length of rectangle (m) W = width of rectangle (m) Circle Area (m 2 )  =  R = 4 2 D  =  4 14 . 3 xDxD = 3.14 R = radius (m) D = diameter (m) CIRCUMFERENCE Circle Circumference (m)  =  2 π R  or  π D   or C = 3.14 x D = 3.14 R = radius (m) C       = circumference(m) D = diameter (m) VOLUMES Rectangular tank Volume (m 3 ) = area of base x H   or V = L x W x H L = length of rectangle (m) W = width of rectangle (m) H = height of rectangle (m) Cylindrical tank Volume (m 3 ) = area of base x H or  V 4 2 D x H     or V =  R 2 x H = 3.14 D = diameter of base (m) H = height of cylinder (m) R       = radius of base (m) Cone Volume (m 3 ) = 1/3 area of base x H  or V  = 1/3 R 2  x H  or V = 1/3  4 2 D x H =  12 1   D 2  x H = 3.14 R = radius of base(m) D = diameter of base (m) H = height of cone from base to apex (m) Prism Volume (m 3 ) = area of  base  of  prism x H  or V =   A  x H A = area of  base  of  prism  (m 2 ) H = height or depth of prism (m) Sphere (ball) Volume (m 3 ) = 3 R 4 3    or V = 3 4 8 3 D  6 1 D 3 = 3.14 R = radius of sphere (m) D = diameter of sphere (m) Lagoon Volume   (m 3 ) = 2 ) SH 2 L ( x ) SH 2 W ( WxL   x H W=width of lagoon (m) L=length of lagoon (m) S=slope (ratio of horizontal to vertical distances on the interior sides of lagoon). Example: 3:1, slope is taken as 3. H= height of liquid or depth of liquid in lagoon. (m)

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TIME 1 day = 24 hrs [or] 1440 minutes [or] 86,400 seconds   TEMPERATURE Fahrenheit =  F C 32 ) 5 9 ( Celsius =  9 5 ) F 32 F ( ABBREVIATIONS Em motor efficiency Ep pump efficiency Hp horsepower kPa kilopascal mg milligram g grams kg kilogram sq square m metre m 3 cubic metre mL millilitre L litre ML megalitre MLD megalitre (1,000,000 L) per day min/d minutes per day METRIC CONVERSION FACTORS Metric Units 10 millimetres (mm) = 1 centimetre (cm) 1 000 millimetres(mm) = 1 metre (m) 100 centimetres (cm) = 1 metre (m) 1 dekametre (dam) = 10 metres (m) 1 000 metres (m) = 1 kilometre (km) 10 000 sq. m (m 2 ) = 1 hectare (ha) 1 cu. meter (m3) = 1,000,000 cu. cm (cm 3 ) 1 000 cu. cm (cm 3 ) =1 Litre (L) 1 litre (L) of water weighs 1 000 grams = 1 kg 1 litre (L) of water weighs 1 000 000 milligrams = 1kg 1 000 millilitres (mL) =1 Litre (L) 1 000 liters =1 cu. m (m 3 ) 1 000 000 liters (L) =1 Megalitre (ML) 1 milligram (mg) =1000 micrograms (ug) 1 gram (g) =1000 milligrams (mg) 1 kilogram (kg) =1000 grams (g) 1 000 kilograms (kg) =1 tonne (t) 1 kilowatt (kW) = 1000 watts 1 cu. m (m 3 ) of water weighs 1000 kg 1 metre of hydraulic head (m) = 9.81 kPa MEASURES OF CONCENTRATION 1 mg/L = 1 ppm (1 part per million) 1 mg/L = 1 gram / m 3 1 ppm = 1 part /1 million parts 1% = 10 000 mg/L DETENTION TIME / RETENTION TIME Detention Time  (seconds) FlowRate Volume  =  Q V V  = Volume (m 3 ) Q   = Flow Rate (m 3 /s)
• Spring '17
• william james
• Force, Orders of magnitude, cross sectional area, MLVSS

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