2021 NEBB Approved Formula Chart

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2021 NEBB Approved Formula ChartABBREVIATIONSAACHAkAVGBHPBPBtuBtu/hr or BtuhCLAreaAir Changes per HourEffective AreaAverageBrake HorsepowerBrake PowerBritish Thermal UnitBritish Thermal Unit Per HourCenter Distance (used in belt formula)lxMmamm³/smbhNLANPSHAoa% oaLuxMassMixed AirMeters / MetresVolumetric Flow: Cubic Meters Per Second1000 Btu/hrNo Load AmperageNet Positive Suction Head AvailableOutside Air CCCCFDegrees CelsiusFriction Loss Coefficient (For Duct Fittings)100 Cubic FootCFMCpVolumetric Flow: Cubic Feet Per MinuteΩPPaSpecific HeatP abAbsolute PressureCvρdΔdimpEEffEP FffcFLAFPMftggalGPMhHHghmahoaHPhrhraFlow Constant (IP)DensityDiameterDifference or Change (Final - Initial)PaπPDP PascalsPi 3.14Sheave Pitch DiameterPressure at Pump CenterlineImpeller DiameterVoltsEfficiencyPump EfficiencyDegrees FahrenheitFriction Factorfoot-candleFull Load AmpsFeet Per MinuteFootAcceleration of GravityGallonsGallons Per MinuteEnthalpyHeadMercuryppmpsipsiapsigP vpRraradRHRPMR valueParts Per MillionPounds Per Square InchPounds Per Square Inch AbsolutePounds Per Square Inch GaugeAbsolute Vapor PressureVolumetric Fluid Flow RateHeat Flow RateDegrees RankinRadius% of Return AirResistanceReturn AirRadiansRelative HumidityRevolutions Per MinuteThermal ResistancesSHRSMESPSp GrTTaTmaSecondSensible Heat RatioSash Movement Effect Performance Rating (SME-XX yyy)Static PressureSpecific Gravity (for water use 1.00)TemperatureAbsolute Temperature (460 T) or RMixed Air TemperatureHTinIJKKvkcalkgkJkPakWll/slblmlnLGMixed Air EnthalpyOutside Air EnthalpyHorsepowerHourReturn Air EnthalpyHeightInchAmpsJoulesKelvinFlow constant Liter (Litre)Volumetric Flow: Liters Per SecondPoundsLumensnatural logLengthQ (flow)Q (heat) Rr% raToaTPTraTSUµVVPWWDwg or wcWHPWPω% of Outside AirOhmPressureAtmospheric PressureOutside Air TemperatureTotal PressureReturn Air TemperatureTip SpeedHeat Transfer CoefficientViscosity, DynamicVelocityVelocity PressureWatt or J/sWidthwater gauge or water columnWater HorsepowerWater PowerHumidity Ratio

2021 NEBB Approved Formula ChartEQUATIONSTOPICUS Equation (IP)US Unit (IP)Metric Equation (SI)Metric Unit (SI)Q V ACFM, ft3/minQ V Am3/sDuct Fitting Loss C VPin. wgDuct Fitting Loss C VPPaTP("# %&) VP SPin. wgTP(EB) VP SPPaVAIRFLOW &VELOCITY()* ",VP𝜌V 1096 ACH Area-./#*Areain. wgQ 60LG x WD x HTair changes/hrV ()* ", π r 0144in2 , ft2HT WD144HT x (WD HT) π HT2in2 , ft21.66 VPm/s,PaVP𝜌PaV 1.414 ACH Q 3600LG x WD x HT0dπ 2 144(1/ ,2/,24) #&/5 ,Area!"# FPM, ft/minin. wg 4005 VPArea-./#* π * 00air changes/hr π r 0Area (1/ ,2/,24) #&/5 , HT WD%in2 , ft2Area!"# HT x (WD HT) π &' %%m2m2m2144 1.8 32 32 1.8 R 460 RK 273KT6 %. T. %, T, , RT6 %. T. %, T, , Kh6 %. h. %, h, Btu/lbdry airh6 %. h. %, h, kJ/kgdry airAIRTEMPERATURE%. h, h6 h, h. 100%%. h, h6 h, h. 100%%. T, T6 T, T. 100%%. T, T6 T, T. 100%Q ).) 5 4.5 CFM hBtu/hrQ ).) 5 1.2 l[s hWQ D:DB 60 ρ CFM hBtu/hrQ D:DB ρ l[s hWBtu/hrQ (2#("752 1.23 l[s T ",WBtu/hrQ (2#("752 Cp ρ l[s T ",W(Standard Air)(Non-Standard Air)Q (2#("752 1.08 CFM T ",HEATTRANSFER (AIR)(Standard Air)Q (2#("752 60 Cp ρ CFM T ",(Non-Standard Air)Q 5 )2#) 0.69 CFM 𝜔89 :; ! (Standard Air) ? @9A BC9Q 5 )2#) 4840 CFM 𝜔 ? :; ! (Standard Air) ? @9A BC9Btu/hr(Standard Air)(Non-Standard Air)(Standard Air)(Non-Standard Air)Q 5 )2#) 3.0 l[s 𝜔& F! GJH& *,I ",Btu/hr(Standard Air)W

2021 NEBB Approved Formula ChartEQUATIONSTOPICUS Equation (IP)US Unit (IP)1073Q 5 )2#) 60 ρ CFM 𝜔89 :; ! 7000 ? @9A BC9Btu/hrMetric Equation (SI) ? @9A BC9(Non-Standard Air)HEATTRANSFER (AIR)WQ 5 )2#) 2.5x ρ x l[s 𝜔& F! G(Non-Standard Air)Q 5 )2#) 1073 60 ρ CFM 𝜔 ? :; ! Metric Unit (SI)JH& *,I ",(Non-Standard Air)Btu/hrWSHR Q (2#("752 Q ).) 5unitlessSHR Q (2#("752 Q ).) 5unitlessQ ).) 5 Q 5 )2#) Q (2#("752Btu/hrQ ).) 5 Q 5 )2#) Q (2#("752WQ K)/L A M)! U T ( )Btu/hrQ R A 6! U T ( )WCFM0 RPM0 CFMN RPMNft3/min,rev/minl[mO[rad[s0s(s rad 0Ol[m[sN[sNsNl/s, m3/s,rad/sP0CFM0 PNCFMNFAN0BHP0CFM0 BHPNCFMNTip Speed TS RPMM # Oπ d rpm12PD6.)., RPM6.).,PDM #in. wg,ft3/minl[P0s l 0PN[sNHPl[kW0s l 0kWN[sNFPM, ft/minmO[s0mO[sN O0mO[s0 mO[sNPa,l/s, m3/sOπ d rpm60Tip Speed TS RPMM #PD6.)., RPM6.).,PDM #rev/min,inSHEAVEFan Belt Length CL 2 1.57 PD5 ,&2 PD(6 550 PD5 ,&2 PD(6 554 𝐶𝐿0kW,l/s, m3/sm/srev/min,mmin (IP),mm (SI)E I ΩVoltsΩ E IOhmsELECTRICALW E IWE I PF Eff746HPE I PF Eff 1.732746HP(I 4)/ 5 NLA 0.5(FLA 4)/ 5 NLA 0.5HPBHPN PL (2 kW POWERFLA 4)/ 5 Fan HP RESISTANCEFLA ) & E) &E 4)/ 5(CFM TP SpGr)(6356 Eff)kWE I PF Eff x 1.7321000kW(I 4)/ 5 NLA 0.5(FLA 4)/ 5 NLA 0.5kWFLA ) & E) &E 4)/ 5Amps(m3/s TP SpGr)(1000 Eff)kWPF Power FactorkWO PL (2 PF Power Factor 0.8 & Eff 0.9; if not givenBHP HP kWE I PF x Eff1000kWN PL (2 PF Power FactorBHPO PL (2 E I1000PF Power FactorBkW kW AmpsHPFLA 4)/ 5 Fan kW 1111 R Q.) 5 '( ())#) RN R 0R#OhmsR Q.) 5 "# %#& R N R 0 R O R #Ohms

2021 NEBB Approved Formula ChartEQUATIONSTOPICUS Equation (IP)US Unit (IP)Metric Equation (SI)Metric Unit (SI)EP,"6 ,I IP,"6 ,I E(24.#* ,I I(24.#* ,IVolts,AmpsVoltage Drop I R Q.) 5VoltsRESISTANCEGPM0 RPM0 GPMN RPMNgal/min,rev/minl[mO[RPM0s0s O 0 l[m[RPMNsNsNl/s,m3/s, RPMGPM0 d"6P0 GPMN d"6PNgal/min,inl[mO[d"6P0s0s O 0 l[m[sNsN d"6PNl/s, m3/s,mm0H0GPM0 HNGPMNPUMPBHP0GPM0 BHPNGPMNOin wc, ft wc, psi,gal/minl[H0s l 0HN[sNHP,gal/minl[BkW0s l 0BkWN[sN0 0RPM0RPMNO RPM0RPMNkPa,l/s, RPMOOGPM H;D S8 SpGrWHP 3960WPHR 9.81 m [s H6 SpGrSpGr 1.0, unless given, EP use 0.7 if not givenHPSpGr 1.0, unless given, EP use 0.7 if not givenl[ H SpGrsU 1000WPR BkW,L/s, RPMkWWSpGr 1.0, unless given, EP use 0.7 if not givenBHP GPM H;D S8 SpGr3960 EPHPWHP 100BHP%EP"# % GPM0GPMNCoil P: P0 PN CV HYDRONIC0GPM SpGr PP("GPM PP(" SpGr GPMCVin wc, ft wc, psiGPM, gal/minSpGr0psiSpGr 1.0, unless givenNPSHA P P( HEATTRANSFER(HYDRONIC)V0 PVP PM2gkWft wcEP"# % WP 100BP%0l[sCoil P: P0 PN l 0[sNKV kPa, m wcmO[ SpGrh PK ,unitlessmO[ K V PK ,hSpGrmO[h PK , SpGr KVNPSHA P P( m3/h0V0 PVP PM2gbarm𝑄][ 4.190 𝑙[𝑠 𝑇 kW𝑄[ 4190 𝑙[𝑠 𝑇 WBtu/hr𝑄[ 𝐶Y ρ 𝑙[𝑠 𝑇 WOutput Btu Input Btu %EffBtuOutput kW Input kW %EffkWBoiler Operating Cost Fire Rate& 5J hrs Burned Cost[gal Boiler Operating Cost Fire Rate 5J hrs Burned Cost[l 𝑄WDX 500 𝐺𝑃𝑀 𝑇 (Standard Water)(Standard Water)Btu/hr(Standard Water)𝑄WDX 𝐶Y 𝑥 60 ρ 𝐺𝑃𝑀 𝑇 (Non-Standard Water)BOILERWPEPSpGr 1.0, unless given, EP use 0.7 if not givenunitlessCV PP("BP L,Fire Rate Input BtuFuel Btu & 5JL,(Non-Standard Water)L,gal/hrFire Rate Input MJFuel MJ 5JL,l/hr

2021 NEBB Approved Formula ChartMETRIC EQUIVALENTSUnit ofMetric Unit (SI)Equivalent US Unit (IP)acceleration1 m/s23.281 ft/sec2area1 m210.764 ft2area1 mm21 kcal0.0016 in23.968 Btu/hrenergy1W3.413 Btu/hrenergy1 kW3413 Btu/hrlength1m3.281 ftlength1m39.37 inenergylength1 cm0.39 inlength1 mm0.039 inlighting intensity1 lx0.093 fclighting intensity0.0931 fcmass1 lm/m21 kgpower (motor)1 kW1.34 HPpower (energy)1 J/hr0.000948 Btu/hrpressure1 Pa0.004 in wgpressure1 kPa0.145 psipressure1 kPa0.3345 ft wcpressure1 kPa0.296 in Hgvelocity1 m/s196.9 fpmvelocity1 m/s3.28 fpsvolume1 m3volumetric flow rate (air)1 m3/s1 l/s35.31 ft32118.88 cfmvolumetric flow rate (air)2.2 lb2.12 cfmvolumetric flow rate (water)1 m3/hr1 l/s15.88 gpmvolumetric flow rate (water)1 m3/s15880 gpmvolumetric flow rate (air)0.589 cfmENGINEERING CONSTANTSDefinitionAtmospheric Pressure @ Sea LevelAtmospheric Pressure @ Sea Level (coll)Heat of EvaporationHeat of CondensationHeat of FusionMass (1 lb of moisture)Density of Air (Std)Density of Water (Std)Density of Water (Std)Specific Heat (Cp) of dry airSpecific Heat (Cp) iceSpecific Heat (Cp) vaporSpecific Heat (Cp) waterStandard Temperature & Pressure (STP)Standard Temperature & Pressure (STP)Ton of refrigerationTon of refrigeration (evaporator)Ton of refrigeration (condenser)VolumeUS Units (IP)1 atm 29.92 in Hg 14.7 psi1 bar 14.5 psi 29.53 in Hg970 Btu/lb970 Btu/lb144 Btu/lb7000 grainsMetric Units (SI)101.325 kPa100 kPa2257 kJ/kg2257 kJ/kg335 kJ/kgN/A0.075 lb/ft362.4 lb/ft38.33 lb/gal0.24 Btu/(lb x F) @ 68 F0.50 Btu/(lb x F) @ 32 F0.45 Btu/lb x F @ 68 F1.00 Btu/lb x F @ 68 F68 F at Sea Level (14.7 psi)68 F at Sea Level (29.92 in. Hg)12,000 Btu/hr12,000 Btu/hr15,000 Btu/hr1 CF 7.49 gallons1.204 kg/m31000 kg/m31000 kg/m31.005 kJ/(kg x K) @ 20 C2.05 kJ/(kg x K) @ 0 C1.996 kJ/(kg x K) @ 20 C4.187 kJ/(kg x K) @ 20 C20 C at Sea Level (101.325 kPa)20 C at Sea Level (101.325 kPa)3.516 kW3.516 kW4.395 kWN/ACONVERSIONSUnit ofTo ConvertIntoMultiply FmbhHPHPft.wcpsipsiBtuBtu/hrBtu/hrwattspsift. wcin. Hg100,0001,00025457460.4342.312.036

NEBB Fundamental 70WTE160MRATUDRYRE ENTHALPYHUMIDITY 2-0.10-14014.50.52.04.0- 8.-4-8.0.0-BQsQtPYSENSIBLE HEATTOTAL HEAT0.610070659025510%1580%0%7060%Y AIR-52015152025303510% 0-20130DRY BULB TEMPERATURE - FLinric Company Psychrometric Chart, www.linric.com10Approved NEBB - June 7, 0503013.03525205%404030.850F DR5%504535.97560³/lb O407060ME 01150- F80UND0.8OF-1.0PO1.080PEDEW POINT - FAIR1.1LB15Page 6 of 8202530Version 1.2135ENTHALPY - BTU PER POUND OF DRY AIR8040BUVAPOR PRESSURE - INCHES OF MERCURYETPSYCHROMETRIC CHARTHUMIDITY RATIO - GRAINS OF MOISTURE PER POUND OF DRY AIR85BAROMETRIC PRESSURE 29.921 inches of Mercury1.2

NEBB Fundamental Formulas0.200.250.300.35SENSIBLE HEAT RATIO Qs / 44.03843.035120RE27.070%154.72080%200.88-10Y AIRG DR-15%50VEIDMHUYRE6%ER K-20-10-15ER P-25-150.76-20-25YITUMIDEHELATIV10% .841010IT- CU1000.86152060%15UME70%VOL30-10HUMIDITY RATIO - GRAMS MOISTURE PER KILOGRAM DRY E HEAT RATIO Qs / QtKILOGER0.20.11.23.5ENTHALPYHUMIDITY -2.3-20-1.-00.5.4-0.3-0.2-0.1033.032.0FD-4.64.0- 8.0-4-8.0.034.00.920.52.0MOQsQtRASENSIBLE HEATTOTAL HEAT30- PETU901.039.0RA0BAROMETRIC PRESSURE: 101.325 kPa-30TE10SEA LEVEL-35LBMSI Units-30BU151101051000-5-109070DRY BULB TEMPERATURE - C-30-20-1Approved NEBB - June 7, 2016001020Page 7 of 8304050607080Version 1.21ENTHALPY - KJ PER KILOGRAM OF DRY AIRNORMAL TEMPERATURE34DEW POINT TEMPERATURE - C018040.0WET0.9611PSYCHROMETRIC CHART - METRIC3541.0VAPOR PRESSURE - MM OF MERCURY350.4542.036

NEBB Fundamental FormulasAir Density Correction Factors (US Units) Standard Air Density (Sea Level & 70 F) 0.075 lb/ft3 @ 29.92 in HgAltitude (ft)Barometer(in Hg)(in wg)Air Temperature F-40 -0 40 70 100 150 200 250 300 350 400 450 500 550 600 700 800 Sea 0.450.430.390.36Water Temperature FFeet head differential per inch Hg ed NEBB - January 1, 201860 150 200 250 300 340 70.350.340.330.310.280.350.330.320.310.290.27148.7 170.9 15.5 Page 8 of .480.450.420.400.380.360.340.320.291.046Air Density Correction Factors (Metric Units) Standard Air Density (Sea Level & 20 C) 1.204 kg/m3 @ 101.325 kPaAltitude (m)Sea 051.020.990.960.930.910.880.86Air Temperature C0 1.000.970.950.920.890.870.840.820.7920 0.910.890.860.840.810.790.770.750.7250 0.850.820.800.780.750.730.710.690.6775 0.790.770.750.720.700.680.660.650.63100 0.740.720.700.680.660.640.620.600.59125 0.700.680.660.640.620.600.590.570.55150 0.660.640.620.620.590.570.550.540.52175 0.620.610.590.570.560.540.520.510.49200 0.590.560.560.540.530.510.500.480.47225 0.560.550.530.520.500.490.470.460.45250 0.540.520.510.490.480.470.450.440.43275 0.510.500.490.470.460.450.430.420.41300 0.49325 0.480.470.450.440.430.410.400.390.47350 0.460.450.430.420.410.400.390.380.46375 0.440.430.420.410.390.380.370.360.44400 0.430.410.400.390.380.370.360.350.41450 0.400.380.370.360.350.340.330.320.38500 0.370.360.350.340.330.320.310.30Water Temperature 500.500.440.420.390.380.350.330.3065.5 93.2 121 Version 1.31

BHP Brake Horsepower m³/s Volumetric Flow: Cubic Meters Per Second BP Brake Power mbh 1000 Btu/hr Btu British Thermal Unit NLA No Load Amperage Btu/hr or Btuh British Thermal Unit Per Hour NPSHA Net Positive Suction Head Available CL Center Distance (used in belt formula) oa Outside Air C Degrees Celsius % oa % of Outside Air