Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Density Kg Per M3 (kg/m³)

Required number input.

Gravity Meters Per Second Squared (m/s²)

Required number input.

Flow Cubic Meters Per Second (m³/s)

Required number input.

Head Meters (m)

Required number input.

Hydraulic output power ρgQH delivered by a pump, excluding shaft and motor losses. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Power Watts (W)

The resulting power watts returned as a number.

• Fan, pump, turbine, and propeller performance varies with speed, flow, head, density, efficiency map, cavitation margin, installation, control, and off-design operation. Similarity or ideal-power equations do not replace manufacturer curves.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Pump Efficiency

  Pump hydraulic efficiency from hydraulic output power divided by shaft input power.

• Hydro Turbine Power

  Hydroelectric output power ρgQHη from fluid density, flow, net head and total turbine-generator efficiency.

• Motor Torque From Power

  Shaft torque from mechanical shaft power and rotational speed: T=P/(2πn/60).