PQPE_FluidPowerFormulas
1
Quick link to : Table of Contents 55 Toll-Free: 1-888-WAINBEE (924-6233) www.wainbee.com 55 Toll-Free: 1-888-WAINBEE (924-6233) www.wainbee.com Fluid Power Formulas Mechanical Horsepower HP = d x F 550 t HP = mechanical horsepower d = distance (ft.) F = force (lb.) t = time (seconds) Mechanical Horsepower HP = F x v 396,000 HP = mechanical horsepower F = force (lb) v = velocity (in/min) Hydraulic Horsepower HP = P x Q x 0.000583 HP = hydraulic horsepower Q = flow (gpm) P = pressure (psi) Motor Horsepower HP = s x T 63,025 HP = motor horsepower s = speed (rpm) T = torque (lb.-in.) Heat H = HP x 2,547 H = heat (btu/hour) HP = hydraulic horsepower Flow Q = V x CR 28.8 t Q = flow (ft 3 /min.) V = cylinder volume(in 3 ) CR = compression ratio t = stroke time (seconds) Compresssion Ratio CR = P g + P a P a CR = compression ratio P g = gauge pressure (PSIG) P a = atmospheric pressure (PSIA) Air Motor Speed RPM = 1728 Q Disp RPM = air motor speed Q = flow (cfm) Disp = motor displacement (in 3 /rev) Flow Coefficient (C v ) C v = flow coefficient Q = SCFM G = specific gravity of flowing medium (G = 1 for air) T abs = absolute temperature (460+ °F) ΔP = pressure drop (PSI) static to static pressure P o = outlet pressure = (inlet press - ΔP) P a = atmospheric pressure Pneumatic Cylinder Rod Speed V = S x 60 t V = cylinder rod speed (in./min.) S = stroke (in.) t = stroke time (seconds) Hydraulic Tank Cooling H p = 0.001 x A w x ΔT H p = cooling power (HP) A w = wetted area (ft 2 ) ΔT = oil temp – ambient air temp Pressure P = F A ; F = P x A P = pressure (PSI) F = force (lb.) A = area (in 2 ) Piston Area (cylinder) A p = 0.7854 ( D p ) 2 A p = piston area D p = piston diameter Rod Area (cylinder) A r = 0.7854 ( D r ) 2 A r = rod area D r = rod diameter Effective Area (cylinder) A e = A p - A r A e = effective area A p = piston area A r = rod area Volume (cylinder) V = A x S V = volume (in 3 ) A = area (in 2 ) [note: either A p or A e ] S = stroke (in.) Piston Rod Speed (cylinder) v = Q x 231 A v = piston rod speed (in/min) Q = flow (gpm) A = area (in 2 ) Flow (cylinder) Q = v x A 231 Q = flow (gpm) v = rod speed (in/min) A = area (in 2 ) [note: either A p or A e ] Pipe Flow V = 0.3208 x GPM A V = velocity (ft/sec) GPM = gallons per minute A = area (in²) Pressure Drop in Pipes ΔP/ft = GPM x V (SSU) 18,300 x (D) 4 GPM = gallons per minute V = viscosity (SSU) D = inside diameter of pipe (in) Torque T = F x d T = torque (lb.-in.) F = force (lb.) d = distance (in.) Motor Torque T = P x Disp 2π T = motor torque (lb.-in.) P = pressure (PSI) Disp = motor displacement (in 3 /rev) Motor Shaft Speed RPM = Q x 231 Disp RPM = motor shaft speed (rpm) Q = flow (gpm) Disp = motor displacement (in 3 /rev) Work W = d x F W = work (ft.-lb.) d = distance (ft.) F = force (lb.) Power (ft.-lb./sec) d = distance (ft.) F = force (lb.) t = time (seconds) P = power (ft.-lb/sec) d x F t P = C v = Q 22.48 T abs x G ΔP x (P o + P a ) √
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Transcript of PQPE_FluidPowerFormulas
Quick link to : Table of Contents 55 Toll-Free: 1-888-WAINBEE (924-6233) www.wainbee.com55 Toll-Free: 1-888-WAINBEE (924-6233) www.wainbee.com
Fluid Power Formulas
Mechanical Horsepower
HP = d x F550 t
HP = mechanical horsepowerd = distance (ft.)F = force (lb.)t = time (seconds)
Mechanical Horsepower
HP = F x v396,000
HP = mechanical horsepowerF = force (lb)
v = velocity (in/min)
Hydraulic Horsepower
HP = P x Q x 0.000583 HP = hydraulic horsepowerQ = flow (gpm)P = pressure (psi)
Motor Horsepower
HP = s x T63,025
HP = motor horsepowers = speed (rpm)T = torque (lb.-in.)
Heat
H = HP x 2,547 H = heat (btu/hour)HP = hydraulic horsepower
Flow
Q = V x CR28.8 t
Q = flow (ft3/min.)V = cylinder volume(in3)CR = compression ratiot = stroke time (seconds)
Compresssion Ratio
CR = Pg + Pa
Pa
CR = compression ratioPg = gauge pressure (PSIG)Pa = atmospheric pressure (PSIA)
Air Motor Speed
RPM = 1728 Q Disp
RPM = air motor speedQ = flow (cfm)Disp = motor displacement (in3/rev)
Flow Coefficient (Cv)
Cv = flow coefficientQ = SCFMG = specific gravity of flowing medium (G = 1
for air)Tabs = absolute temperature (460+ °F)ΔP = pressure drop (PSI) static to static pressurePo = outlet pressure = (inlet press - ΔP)Pa = atmospheric pressure
Pneumatic Cylinder Rod Speed
V = S x 60 t
V = cylinder rod speed (in./min.)S = stroke (in.)t = stroke time (seconds)
Hydraulic Tank Cooling
Hp = 0.001 x Aw x ΔT Hp = cooling power (HP)Aw = wetted area (ft2)ΔT = oil temp – ambient air temp
Pressure
P = FA ; F = P x A
P = pressure (PSI)F = force (lb.)A = area (in2)
Piston Area (cylinder)
Ap = 0.7854 ( Dp )2 Ap = piston area
Dp = piston diameter
Rod Area (cylinder)
Ar = 0.7854 ( Dr )2 Ar = rod area
Dr = rod diameter
Effective Area (cylinder)
Ae = Ap - ArAe = effective areaAp = piston areaAr = rod area
Volume (cylinder)
V = A x S V = volume (in3)A = area (in2) [note: either Ap or Ae] S = stroke (in.)
Piston Rod Speed (cylinder)
v = Q x 231A
v = piston rod speed (in/min)Q = flow (gpm)A = area (in2)
Flow (cylinder)
Q = v x A231
Q = flow (gpm)v = rod speed (in/min)A = area (in2) [note: either Ap or Ae]
Pipe Flow
V = 0.3208 x GPMA
V = velocity (ft/sec)GPM = gallons per minuteA = area (in²)
Pressure Drop in Pipes
ΔP/ft = GPM x V (SSU)18,300 x (D)4
GPM = gallons per minuteV = viscosity (SSU)D = inside diameter of pipe (in)
Torque
T = F x d T = torque (lb.-in.)F = force (lb.)d = distance (in.)
Motor Torque
T = P x Disp2π
T = motor torque (lb.-in.)P = pressure (PSI)Disp = motor displacement (in3/rev)
Motor Shaft Speed
RPM = Q x 231Disp
RPM = motor shaft speed (rpm)Q = flow (gpm)Disp = motor displacement (in3/rev)
Work
W = d x F W = work (ft.-lb.)d = distance (ft.)F = force (lb.)
Power (ft.-lb./sec)
d = distance (ft.)F = force (lb.)t = time (seconds)P = power (ft.-lb/sec)
d x Ft
P =
Cv = Q 22.48
Tabs x G
ΔP x (Po + Pa)√
