Piston Cylinder Force and Pressure to Diameter 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) 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) 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) 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) 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) 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)
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 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) 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) 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) 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)
Calculate Diameter Of Piston / Cylinder
Bore Diameter (ø) [?]
Select diameter unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m)

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User Guide

This tool will calculate the theoretical bore diameter of a piston cylinder assembly by entering values for the piston force and the pressure within the cylinder.

Formula

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

r = ø / 2

A = π · r² = π  · (ø / 2)²

A = π · ø² / 4

ø = √  (4 · A / π)

P = F / A

A = F / P

ø = √  (4 · F / (π · P))

Symbols

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

Piston Force

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

Cylinder Pressure

Enter a value in any units for the pressure within the cylinder

Piston / Cylinder Bore Diameter

This is the theoretical bore diameter of the piston cylinder assembly that is present or would be required for the combination of force and pressure values entered.