MPP Formulas for PTOs and Hydraulics
| TO SOLVE FOR | CALCULATOR ENTRY* |
| PTO Output Speed | PTO RPM = ENGINE RPM x PTO% |
| Required Engine Speed | ENGINE RPM = DESIRED PTO RPM ÷ PTO% |
| Horsepower | HP = T X RPM ÷ 5252 |
| Torque | T = HP X 5252 ÷ RPM |
| Area of a Circle | A = πr2 or A = d2 X .7854 |
| Volume of a Cylinder | V = πr2 X Li ÷ 231 or d2 X .7854 X Li ÷ 231 |
| Force of a Cylinder | F = A X PSI |
| Cylinder Extension (inches/second) | EXT. RATE = GPM X 4.9 ÷ d2 |
| Cylinder Extension (time to extend) | EXT. TIME = CYL. VOLUME X .26 ÷ GPM |
| Volume of a Reservoir (rectangular) | VOL = Li X Wi X Di ÷ 231 |
| Volume of a Reservoir (round) | VOL = πr2 X Li ÷ 231 or d2 X .7854 X Li ÷ 231 |
| Pump Output Horsepower | HP = GPM X PSI ÷ 1714 |
| Pump Input Horsepower | HP = GPM X PSI ÷ 1714 ÷ E |
| Pump Input Torque (ft.lb.) | T = CID X PSI ÷ 2π |
| Pump Output Flow | GPM = CIR X RPM ÷ 231 X E |
| Pump Input Speed | RPM = GPM X 231 ÷ CIR ÷ E |
| Displacement of Pump | CIR = GPM X 231 ÷ RPM ÷ E |
| Flow in GPM using PTO | GPM = ENGINE RPM x PTO% X CIR ÷ 231 X E |
| Velocity of Oil | V = GPM X .3208 ÷ A |
| Heat Rise in Degrees F | ΔF° = HP X 746 X Inefficiency X Minutes ÷ Gallons in system ÷ 60 |
| The following hydraulic motor formulas are calculated in inch pounds (in.lb) rather than foot pounds. To convert to ft.lb divide by 12. | |
| Motor Output Torque | |
| Continuous | Tc = GPM X PSI X 36.77 ÷ RPM or Tc = CID X PSI ÷ 2 π or Tc = HP X 63025 ÷ RPM |
| Starting | Ts = Tc X 1.3 |
| Accelerating | Ta = Tc X 1.1 |
| Motor Working Pressure | T X 2 π ÷ CIR ÷ E |
| Motor RPM | RPM = GPM X 231 ÷ CIR |
| * | CONVERSION CHART From English Units (US) to Système International (metric) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||
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