Piston Cylinder Force and Diameter to Pressure Calculator

Piston Cylinder Parameters
Piston Force (F) [?]
Select force unit newtons (N) pounds-force (lbf) kilograms-force (kgf) kilonewtons (kN) grams-force (gf) ponds (p) ounces-force (ozf) pounds-force (lbf) kilograms-force (kgf) kiloponds (kp) kips, kips-force (kip, kipf) kilopounds-force (kipf) tons-force (tonf, short, usa) tonnes-force (tf, metric) tons-force (tonf, long, uk) dynes (dyn) poundals (pdl) quectonewtons (qN) rontonewtons (rN) yoctonewtons (yN) zeptonewtons (zN) attonewtons (aN) femtonewtons (fN) piconewtons (pN) nanonewtons (nN) micronewtons (µN) millinewtons (mN) centinewtons (cN) decinewtons (dN) newtons (N) decanewtons (daN) hectonewtons (hN) kilonewtons (kN) meganewtons (MN) giganewtons (GN) teranewtons (TN) petanewtons (PN) exanewtons (EN) zettanewtons (ZN) yottanewtons (YN) ronnanewtons (RN) quettanewtons (QN) quectograms-force (qgf) rontograms-force (rgf) yoctograms-force (ygf) zeptograms-force (zgf) attograms-force (agf) femtograms-force (fgf) picograms-force (pgf) nanograms-force (ngf) micrograms-force (µgf) milligrams-force (mgf) centigrams-force (cgf) decigrams-force (dgf) grams-force (gf) decagrams-force (dagf) hectograms-force (hgf) kilograms-force (kgf) megagrams-force (Mgf) gigagrams-force (Ggf) teragrams-force (Tgf) petagrams-force (Pgf) exagrams-force (Egf) zettagrams-force (Zgf) yottagrams-force (Ygf) ronnagrams-force (Rgf) quettagrams-force (Qgf) quectotonnes-force (qtf, metric) rontotonnes-force (rtf, metric) yoctotonnes-force (ytf, metric) zeptotonnes-force (ztf, metric) attotonnes-force (atf, metric) femtotonnes-force (ftf, metric) picotonnes-force (ptf, metric) nanotonnes-force (ntf, metric) microtonnes-force (µtf, metric) millitonnes-force (mtf, metric) centitonnes-force (ctf, metric) decitonnes-force (dtf, metric) tonnes-force (tf, metric) decatonnes-force (datf, metric) hectotonnes-force (htf, metric) kilotonnes-force (ktf, metric) megatonnes-force (Mtf, metric) gigatonnes-force (Gtf, metric) teratonnes-force (Ttf, metric) petatonnes-force (Ptf, metric) exatonnes-force (Etf, metric) zettatonnes-force (Ztf, metric) yottatonnes-force (Ytf, metric) ronnatonnes-force (Rtf, metric) quettatonnes-force (Qtf, metric) quectodynes (qdyn) rontodynes (rdyn) yoctodynes (ydyn) zeptodynes (zdyn) attodynes (adyn) femtodynes (fdyn) picodynes (pdyn) nanodynes (ndyn) microdynes (µdyn) millidynes (mdyn) centidynes (cdyn) decidynes (ddyn) dynes (dyn) decadynes (dadyn) hectodynes (hdyn) kilodynes (kdyn) megadynes (Mdyn) gigadynes (Gdyn) teradynes (Tdyn) petadynes (Pdyn) exadynes (Edyn) zettadynes (Zdyn) yottadynes (Ydyn) ronnadynes (Rdyn) quettadynes (Qdyn) quectoponds (qp) rontoponds (rp) yoctoponds (yp) zeptoponds (zp) attoponds (ap) femtoponds (fp) picoponds (pp) nanoponds (np) microponds (µp) milliponds (mp) centiponds (cp) deciponds (dp) ponds (p) decaponds (dap) hectoponds (hp) kiloponds (kp) megaponds (Mp) gigaponds (Gp) teraponds (Tp) petaponds (Pp) exaponds (Ep) zettaponds (Zp) yottaponds (Yp) ronnaponds (Rp) quettaponds (Qp)
Bore Diameter (ø) [?]
Select diameter unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m)
Calculate Gas / Liquid Pressure
Cylinder Pressure (P) [?]
Select pressure unit bars (bar) pounds/sq inch (psi) kilograms/sq cm (kg/cm²) millibars (mbar) pascals (Pa) kilopascals (kPa) megapascals (MPa) metres of water (mH₂O 4°C) inches of water (inH₂O 4°C) feet of water (ftH₂O 4°C) mm of mercury (mmHg 0°C) inches of mercury (inHg 0°C) mm of water (mmH₂O 4°C) cm of water (cmH₂O 4°C) dm of water (dmH₂O 4°C) metres of water (mH₂O 4°C) inches of water (inH₂O 4°C) feet of water (ftH₂O 4°C) microns of mercury (µHg 0°C) mm of mercury (mmHg 0°C) cm of mercury (cmHg 0°C) inches of mercury (inHg 0°C) dynes/sq cm (dyn/cm²) newtons/sq metre (N/m²) newtons/sq cm (N/cm²) newtons/sq mm (N/mm²) grams/sq cm (g/cm²) kilograms/sq cm (kg/cm²) ounces/sq inch (oz/in²) pounds/sq inch (psi) kilopounds/sq inch (ksi) tons/sq inch (tsi uk long) tons/sq inch (tsi us short) tons/sq foot (tsf us short) pounds/sq foot (psf) standard atmospheres (atm) technical atmospheres (at) torrs (Torr) millitorrs (mTorr) bars (bar) millibars (mbar) quectopascals (qPa) rontopascals (rPa) yoctopascals (yPa) zeptopascals (zPa) attopascals (aPa) femtopascals (fPa) picopascals (pPa) nanopascals (nPa) micropascals (µPa) millipascals (mPa) centipascals (cPa) decipascals (dPa) pascals (Pa) decapascals (daPa) hectopascals (hPa) kilopascals (kPa) megapascals (MPa) gigapascals (GPa) terapascals (TPa) petapascals (PPa) exapascals (EPa) zettapascals (ZPa) yottapascals (YPa) ronnapascals (RPa) quettapascals (QPa) quectobars (qbar) rontobars (rbar) yoctobars (ybar) zeptobars (zbar) attobars (abar) femtobars (fbar) picobars (pbar) nanobars (nbar) microbars (µbar) millibars (mbar) centibars (cbar) decibars (dbar) bars (bar) decabars (dabar) hectobars (hbar) kilobars (kbar) megabars (Mbar) gigabars (Gbar) terabars (Tbar) petabars (Pbar) exabars (Ebar) zettabars (Zbar) yottabars (Ybar) ronnabars (Rbar) quettabars (Qbar) quectotorrs (qTorr) rontotorrs (rTorr) yoctotorrs (yTorr) zeptotorrs (zTorr) attotorrs (aTorr) femtotorrs (fTorr) picotorrs (pTorr) nanotorrs (nTorr) microtorrs (µTorr) millitorrs (mTorr) centitorrs (cTorr) decitorrs (dTorr) torrs (Torr) decatorrs (daTorr) hectotorrs (hTorr) kilotorrs (kTorr) megatorrs (MTorr) gigatorrs (GTorr) teratorrs (TTorr) petatorrs (PTorr) exatorrs (ETorr) zettatorrs (ZTorr) yottatorrs (YTorr) ronnatorrs (RTorr) quettatorrs (QTorr)

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User Guide

This tool will calculate the pneumatic/hydraulic pressure generated by a piston cylinder for a specified force and piston-cylinder bore diameter.

Formula

The formula used by this calculator to determine the piston cylinder pressure from force and diameter is:

r = ø / 2

A = π · r² = π  · (ø / 2)²

A = π · ø² / 4

P = F / A

P = 4 · F / (π · ø²)

Symbols

• P = Pressure
• F = Force
• π = Pi = 3.14159…
• r = Circle radius
• ø = Circle diameter
• A = Circle area

Applied Piston Force

Enter the reading in any units for the applied piston force.

Piston / Cylinder Bore Diameter

Enter the diameter of the cylinder bore or the piston, and for better precision use the average of the two if possible.

Generated Cylinder Pressure

This is the pressure generated within the cylinder with the specified diameter and applied piston force, and can be displayed in a choice of different pressure measurement units.

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Applications

• Hydraulic cylinder
• Pneumatic cylinder
• Hydraulic press

Questions & Answers

150 tonne & 280mm dia press

I have an application to read force in tonne (1000kg) on a 150 tonne hydraulic press with a press ram piston diameter of 280mm, and want to know what range of pressure gauge I will need to use to monitor the hydraulic pressure?

Using the above calculator a hydraulic press with a ram piston diameter of 280mm (area of 61575.2 mm²) would require a pressure of 238.894 bar to produce a force of 150 metric tonnes.

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