How It Works
Hydraulic Motor Speed Fundamentals
Motor speed is determined by the volume of fluid flowing through the motor divided by the displacement per revolution. Volumetric efficiency accounts for internal leakage.
Speed Formulas
Metric (SI Units):
N = (Q x 1000) / D
Where: N = Speed (RPM), Q = Flow Rate (L/min), D = Displacement (cc/rev)
Imperial Units:
N = (Q x 231) / D
Where: N = Speed (RPM), Q = Flow Rate (GPM), D = Displacement (in3/rev)
Note: 231 in3 = 1 US gallon
Theoretical vs Actual Speed
- Theoretical Speed: Calculated assuming 100% volumetric efficiency
- Actual Speed: N_actual = N_theoretical x eta_v (volumetric efficiency)
- Volumetric Efficiency: Typically 90-98% for quality motors
Speed Limits by Motor Type
- Gerotor/Orbit Motors: Max 50-800 RPM (typically limited by orbital motion)
- Vane Motors: Max 200-2500 RPM (limited by vane wear)
- Axial Piston Motors: Max 500-6000 RPM (highest speed capability)
- Radial Piston Motors: Max 1-300 RPM (designed for low speed, high torque)
Effects of Over-Speed
- Increased wear and reduced service life
- Cavitation damage (if inlet flow restricted)
- Excessive heat generation
- Seal damage and external leakage
Motor Speed Calculator
Calculate theoretical and actual motor speed from flow rate, displacement, and volumetric efficiency. Includes speed limit warnings for different motor types.
Typical: 90-98% for quality motors
Calculating...
Speed within limits
Speed vs Limit
Safe Zone
Max Limit
Results
Theoretical Speed
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Actual Speed
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Speed per L/min (or GPM)
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Slip Speed (Leakage)
--
Motor Type Max Speed
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Speed Margin
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Reference Formulas
Metric Speed:
N (RPM) = Q (L/min) x 1000 / D (cc/rev)
Imperial Speed:
N (RPM) = Q (GPM) x 231 / D (in3/rev)
Actual Speed:
N_actual = N_theoretical x eta_v
Motor Speed Limits
| Motor Type | Min Speed | Max Speed | Notes |
|---|---|---|---|
| Gerotor/Orbit | 10 RPM | 800 RPM | Low speed, high torque |
| Vane | 50 RPM | 2500 RPM | Smooth, medium speed |
| Axial Piston | 100 RPM | 6000 RPM | High speed, high efficiency |
| Radial Piston | 1 RPM | 300 RPM | Very low speed, max torque |
Flow Requirements by Displacement
| Displacement | 100 RPM | 500 RPM | 1000 RPM |
|---|---|---|---|
| 50 cc/rev | 5 L/min | 25 L/min | 50 L/min |
| 100 cc/rev | 10 L/min | 50 L/min | 100 L/min |
| 200 cc/rev | 20 L/min | 100 L/min | 200 L/min |
| 500 cc/rev | 50 L/min | 250 L/min | 500 L/min |