Positive-displacement output screen

Hydraulic motor

Inputs

Motor displacementVdcm³/revGeometric positive-displacement volume per shaft revolution.

Declared pressure dropΔpPressure drop across the motor at the stated point, not a component pressure-rating check.

Declared inlet flowQSteady inlet flow; the system circuit and leakage paths are not modeled.

Declared mechanical efficiencyηm%User-entered percentage used only to screen shaft torque.

Declared volumetric efficiencyηv%User-entered percentage used only to screen shaft speed.

Theoretical shaft torque

127.32

Declared-efficiency shaft torque

112.05

Ideal shaft speed

900

Declared-efficiency shaft speed

828

Hydraulic input power

Declared-efficiency shaft output

9.7152

Ttheory = ΔpVd/(2π); Tdeclared = ηmTtheory; nideal = Q/Vd; ndeclared = ηvnideal; Pshaft = Tω

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Formula version 2.0.0

Motor displacement	50
Declared pressure drop	160
Declared inlet flow	45
Declared mechanical efficiency	88
Declared volumetric efficiency	92

Theoretical shaft torque	127.32 N·m
Declared-efficiency shaft torque	112.05 N·m
Ideal shaft speed	900 rpm
Declared-efficiency shaft speed	828 rpm
Hydraulic input power	12 kW
Declared-efficiency shaft output	9.7152 kW

Ttheory = ΔpVd/(2π) · Tdeclared = ηmTtheory · nideal = Q/Vd · ndeclared = ηvnideal · Pshaft = Tω

Wilson hydraulic motor calculations: https://www.wilson-company.com/t-motor-calculations.aspx

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Method

Calculate ideal and actual torque, speed, hydraulic input power, and shaft output from motor displacement, pressure, flow, and efficiencies.

Ttheory = ΔpVd/(2π); Tdeclared = ηmTtheory; nideal = Q/Vd; ndeclared = ηvnideal; Pshaft = Tω

When

Don’t

This is a steady positive-displacement hydraulic-motor screen using user-entered displacement, pressure, flow, and efficiencies. It does not select a motor, evaluate starting torque, load matching, speed limits, pressure ratings, leakage beyond the declared efficiencies, fluid condition, temperature, cavitation, heat, braking, controls, structural mounting, system transients, or safety/compliance.