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Various formulas and conversions for horsepower, pressure, and volume in the context of fluid power systems. It covers topics such as horsepower calculation, pressure conversion, and volume conversion. The document also includes notes on British thermal units (BTU), reservoir capacity, and pressure drop formulas.
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WORD FORMULA:PRESSURE (^) BASIC· FORMULASlETTER FORMULA: _ FORCE (fXJUnds) P
F. F (^) U/IIT (^) =AREA AOf (Square pSI = A Inches) = VOLUME =Y.. (Gallons)
. - UNIT TIMET (Minute) 0 HORSEPOWER
= PRESSURE (PSI) x FLOW (GPM) VELOCITY^1714 HP =~ = .32080 =^ PRESSURE.3208^ x^ flOW (psi)^ ADDITIONAL RATE THROUGH 1.0.x VOLUME OF Oil UNDER PRESSURE (GPM)^ V INTERNAlA pv •• AREA^ (Square^ Approximately Inches) VOLUME VA= 25O,ooolapprox.) /2% Per 1000 psi
_ flOW RATE (GPM) x \JSPECIFIC GRAVITY c., = a VSG
===^ .21932!!.§..2253xSUS-~ x SUS (^) CEIITISTOKESCElITISTOKES_CENTISTOKES 134.6 (^) IfiPSUSCSc.sc.sSUS 4.635=== .2253.2193SUS SUSSUS _ _ 194.4134.
PUMP FORMULAS
flOW
= RPM x PUMP DISPlACEMENT (Cu. In.lRev.) 0
=~ 231 231 = FlO'N RATE OUTPUTHORSEPOWER INPUT (GFM) x PRESSURE (psi) (^) HP = _O_P _ or GPM x psi m 1714 Elf^1714 x^ EFFICIE/ICY1714E1f^ (Ov-r:raU) =!!k x 100 = OUTPUT HORSEPOWER xOVERAll EFACIENCY (^100) Elfa, = EIf,'CL x EIf.EOt =^ VOLUMETRIC Elf.^ x^ MECHANICAL^ Elf^ lllPUTElf",^ HORSEPO'NERHP" = ~ x 100 = ACTUAL flOWVOLUMETRIC EFFICIENCY R.I,TEOUTPUT (GPMJ x (^100) EIf~. THEORETICAl O",ro FLOW RATE OUTPUT {GPMJ MECHANICAL EFFICIENCY
THEORETICAl TOROUE TO ORIVE x 100 EIf.EO!^ =^ TTHED^ X^100
ACTUAlTACT. TOROUE TO DRIVE
B HOURS OF BEARING LIFE = RATED LIFE HOURS x RATEDSPEED 8'0 (RPM)^ =^ xRATEDHAS. x ( RATEDPRESSURE^ RPM,^ x^ f-;:i (PSI)^ J\ 3
WORD FORMULA^ "^ NEVI SPEED^ {RPM} lETTER^ FORMULAflEW PRESSURE RPMM (PSI) PH^ J AREA
=== r.!:.xPRESSURE (psi) X RADIUS>DIAMETER' (^) AREAFORCE (Inches) x (Inches) NET AREA (Square Inct.es) AAF^ ===psixAorF=PA^4 712 r[» orA = .78S[»
. FORMULA FOR:
ACTUATOR FORMULAS - CONTINUED WORD FORMULA (^) LETTER FORMULA CYLINDER VELOCITY or SPEED In FeetJSerond CYLINDER VOLUME CAPACITY In Gallons of Fluid
CYlINDER flOW RATE In Gallons Per Minute flUID MOTOR TOROUE In Inch Pounds
flUID MOTOR TOROUE/100 psi In Inch Pounds FLUID MOTOR SPEED In RevoIulions/Minule FLUID MOTOR POWER In Horsepower Output
VELOCITY
VOLUME
flOW R~TE
TOROUE
TOROUE/loo psi -
SPEED
HORSEPOWER
= 231 x flOW RATE (GP!.1) 12 x 60 x IIET AREA (Square Inches)
231
= IIET AREA (Slrwe Inches) x STROKE (Inches) 231
_ 12 x 60 x VELOCITY (FeevSec) x NET AREA (Square InCl1es) 231
= PRESSURE (psi) x F.M. DISPLACEMENT (Cu. In.lRev.) 2r
= HORSEPOWERx 63025 RPM
= FLOW RATE (GPM) x PRESSURE (psi) x 36. RPM
= F.M. DISPLACEMENT (Cu. Inches/RevotuDon) .
_ 231 flOW RATE (GPM)
= TORQUE OUTPUT (Inch Pounds) x RPM 63025
THERMAL FORMULAS
y = (^2310) 72M ory = .32080A
221
o = 720vA or 0 = 3.117yA 231
T = (^63025) n HP
T = 36.770Pn or T = 36.770psin
T,= (^) = .0628d
n 2310 =-d-
HP (^) Tn = 63025
NOTE: ONE BRITISH THERMAL UNIT (BTU) IS THE AMOUNT OF HEAT REOUIREDTO RAISE THE TEMPERATURE OF ONE POUND OF WATER OIlE OEGREEF.AHRENHBT.ONE HORSEPOWER= 2545 BTU/HR. RESERVOIR COOUNG CAPACITY BASED ON ADEQUATE AIR CIRCULATION
HEAT (BTU/HR) = 2 x TEMPERATURE OJFFERENCEBffi'/EEN RESERVOIRWAlLS AND AIR (oF) x AREA OF RESERVOIR(SO. Ft) BTUIHR^ =^ 2.0^ x^ AT^ x^ A
DUE TO SYSTEM INEFFICIENCY (SG = .89 - .92) HEAT IN FRESH WATER (approx.) tHEAT (BTU/HR)
NOTE: SEE PAGES 79 THROUGH 84 FOR INFORMATION
= Fl(J.'I1WE (GPM) x 210 x TEMPERATURE DIFFERENCE(oF)
= FLOW RATE (GPAt) x 500 x TEMPERATURE DIFFERENCE(OF)
PRESSURE DROP FORMULAS
BTU/HR = 0 x 210 x AT
BTU/HR = 0 x 500 x AT
NOTE: SEE PAGES 130 AND 131 FORADDITIONAL INFORMATION
ACCUMULATOR· FORMULAS Where UP" = psia(ABSOLUTf} = psig (GAUGE PRESSURE) + 14.7 psi
FORMULA FOR: PRESSURE OR VOLUME. w/Constant "r (Temperature) PRESSURE OR TEMPERATURE w/ Constant "V" (Volume) VOLUME OR TEMPERATURE w/Constant "P" (Pressure) PRESSURE OR VOLUME w/Tempetalure Change Due To Heat of Compression
WORD FORMULA:
ORlGIIIAL PRESSURE x ORIGINAL VOLUME =. FIfIAL PRESSURE x FINAL VOLUME
. ORIGIIW: PRESSURE x FIIJAi. m,IPERATURE ;; FlllAlPRESSURE X ORIG. TEMPERATURE
ORIGII/AL VOLUME X AI/AL TEI,IPERATURE = FINAL VOLUME x ORIGINAL TEMPERATURE
ORIGINAL PRESSURE x ORIGIIIAL VOLUME" ...= FINAL PRESSURE x FINAL VOLUME"
FINAL TEMP.ORIG. TEMP. .> .....•.•.•... i;,; ORIG. VOLUME\FIlIAL VOLUMFj ",:,eINALORIS. PRESSURE PRESSURE l'"
lETTER FORMULA: P, V, = P, V, lsothermic
P, T, = P, T, lsochoric
V, T, = V, T, Isobaric
Water at Max. Oensity 39.2° F 4° C
~rams. -\y.;;-. I ·of-Water
Liters .0005787.037037.00002143 1 764.56201.974.0353145.001308.004951.00594291.20032.0160184.0005929.11982528.317i,48052 U.S..004329 1 .264170.133681.160459 1 4.543743.78543 27 .016384 1 .45359246.656^1728 231 277.274 61.023427.6798^1 Gar:u.1S
.
. . 1 .
.
1
.
1
.
The "SI" (International Standards) units shown below are adopted for use by the International Fluid Power Com- munity, and should be used on documents prepared for international circulation.
"Customary" U.S. Unit
inch (in). Ibs/sq in (psig or psia). inches of mercury (in Hg) U.S. gallons per minute (U.S. GPM). cubic feet per minute (cfm) pound(f) or Ib(f) (force). pound(m) or Ib(m) (mass). second (see) gallon (U.S. gal). degrees Fahrenheit (0 F) pounds(f)-inches Ibs(f)-in horsepower (HP). revolutions per minute (rpm) cycles per second (cps). cubic inches per revolution (cipr). Saybolt Universal Seconds (SUS) feet per second (fps). **Pressure below atmospheric tt@38°C; Factor is 4.667 @ 99°C
Quantity SI Unit for Fluid Power
Length. millimeter (mm). Pressure* bar (bar, g or bar, a). Pressure** mm of mercury (mm Hg) Flow*** liters per minute (I/min) Flowt cubic decimeters/see (dm3/sec) Force Newton (N) Mass. kilogram (Kg) Time ... second (see) Volume.*. liter (I). Temperature degrees Celcius (oC) Torque. Newton-meters (Nm) Power kilowat (kw) Shaft Speed revolutions per minute (rpm) Frequency. Hertz (Hz). Displacement millileters/revolution (ml/rev) Kinematic viscosity centistokes (cSt). Velocity. meter per second (m/s) NOTES: *Pressure above atmospheric ***Liquid
Conversion Factor
1 bar = 14.5 psi
1 dm3 /sec = 2.12 cfm 1 Ib(f) - 4.44N 1 Kg = 2.20 Ib(m)
1 U.S. gal = 3.
1 Nm = 8.88 Ib(f)-in 1 kw = 1.34 HP
1 Hz = 1 cps ·lml/rev = 0.061 cipr
tGas
1 Liter = 0.2642 U.S. Gallons
1 Imperial Gallon = 1.2 U.S. Gallons
1 Cubic Foot = 7.48 Gallons = 1728 Cubic Inches 1 Cubic Foot of Water Weighs 62.4 Pounds
1 Bar at Sea Level = 14.5 PSI (Approx.l Atmos.) 33.8 Foot Water Column 42 Foot Oil Column II 29.92 Hg. Approx. VzPSI Decrease Each 1000 Ft. Altitude
1 Horsepower = 33,000 Ft. Lbs. per Minute 550 Ft. Lbs. per Second 42.4 BTU per Minute 2545 BTU per Hour 746 Watts, or 0.746 Kilowatts
lPSI= 2.04161'Hg 27.71 "Water Foot Column of Water = 0.433 PSI
1 "Hg = 0.491 PSI = 1.132 Ft. Water
1 Barrel Oil = 42 Gallons
1 Micro-meter = 1 Millionth of a Meter (Micron)
= 0.00004 Inch 25 Micro-meters = 0.001 Inch
231 Cu bic Inches 4 Quarts; or 8 Pints 8.3356 Pounds 3.785 Liters
1 U.S. Ga lion
1 Gallon = 231 cubic inches = 76,800 drops 1 Cup = 16 tablespoons = 48 teaspoons 1 Tablespoon = 3 teaspoons
1 Cubic inch = 330 drops
To convert units appearing in Column 1 into equivalent values of units in Column 2, multiply by factor in Column 3,
To convert units appearing in Column 2 into equivalent values of units in Column 1, divide by factor in Column 3.
Column 1 ColumnColumnFeet of WaterColumnColumnColumn^32 1 32 Please^ read^ instructions^ above
. 33.9 SecondsWattsHorsepowerCubic Inches.Cubic FeetU.S.GalionsMetersMilesAtmospheresInches of MercuryPSI (lbs.453.5924Miles per HourMiles per HourBTUHorsepowerHorsepower···BTU per Minute.0.001341Inches of MercuryPSI (lbs.perSq.ln).FootFahrenheitInches.U.S. GallonslitersU.S.Galions0.26420.00004^528088 Radians0.06250.5^7000 2.3072.0360.25Cubic FeetCubic Inches.0.5555Pounds^2000 Horsepower33,000Horsepower^550 Horsepower745.7Hours0.04167Hou rs .0.005952Inches.2.54Inches of Mercury0.03342Inches of Mercury1.133Inches of Mercury0.4912Inches of Water0.03613liters^1000 liters1.4671.805PintsPoundsPounds^16 PSI (lbs.0.06804PSI (lbs.PSI (lbs.^144 WattsMicro-meterMiles (Statute)Miles per Hour (MPH)Miles per Hour{MPH)OuncesOuncesPoundsQuarts.231778.3oCx0.017450.88260.0012860.00003030.0018180.13378.345342.4429.92Watts0.2931Weeks.0.023560.39370.00026420.001^1728 7.480520.00057870.00432986,4000.30480.00018940.02950.43350.011360.6818Foot14.7DaysCentimetersAtmospheresPSI (lbs.Cubic CentimetersGallons (U.S. liquid)Inches.PoundsAtmospheresFootFeet of WaterPSI (lbs.FeetFeet per MinuteFeet per Second.Cubic Inches.QuartsGrains.Grams.OuncesFeet of WaterInches of MercuryGallonsSquareSquareTemperatureTemperatureTonsPou ndsHorsepower^ lbs.^.^ ... .. .. 1.8+32 of Water. lbs.lbs.(Weight) .(Fluid) (U.SJ ..per Sq. In)per Sq. In)per Sq. In)per Sq. in) (^) FeetInches (^) liquidliquidper Sq. InJper Sq. In.)per Second(Micron).per Minute.(Bars)... (oF) - 32(oC)(Bars).(Bars)*... ("Hg)("Hg)("Hg)("Hg)("Hg)^ ....
This table is calculated on the basis of 1 bar = 14.5 PSI, or, 1 PSI = .069 bar PSI • 10 50 100 250 500 750 1000 1500 2000 2500 3000 5000 Bars ••.....0.69 3.45 6.90 17.2 34.5 51.7 69.0 103.4 137.9 172.4 206.9 344.
This table is calculated on the basis of 1 U.S. GPM = 3.79 liters per min. (liquid) or, 1 liter per min. = 0.2638 GPM.
GPM .5 8 12 15 20 25 30 35 40 50 75 100 Liters/min~18.95 30.32 45.48 56.85 75.80 94.75 113.7 132.7 151.6 189.5 284.3 379.
This table is calculated on the basis of 1 SCFM = 0.4716 cubic decimeters per second, or 1 dm3/sec. = 2.12 SCFM.
SCFM ~5 10 15 25 50 75 100 150 200 250 300 350 Dm3/sec~2.358 4.716 7.074 11.79 23.58 35.37 47.16 70.74 94.32 117.9 141.5 165.