Skip to main content
0 results ↑ ↓ navigate, ↵ select

Gallons (us)/day to Liters/second Converter (gal (US)/d to L/s)

Rate this converter 0 of 0 ratings
Instant calculation with 0ms overhead
Popular Converters
Live Conversion • ISO 80000-4:2019 Certified
1 Gallon (US)/day = 4.38126364 × 10⁻⁵ Liter/second
1 gal (US)/d = 4.381264 × 10⁻⁵ L/s • 1 L/s = 22824.465324 gal (US)/d
Gallon (US)/day to Liter/second: One Gallon (US)/day is equal to 4.38126364 × 10⁻⁵ Liters/second.
Certified Authority Value
0.00004381
L/s
Exact: 1 L/s ≡ 22824.465323744 gal (US)/d
gal (US)/d
gal (US)/d
Swap to Liter/second to Gallon (US)/day
Swap to Liter/second to Gallon (US)/day
L/s
L/s 4.38126364 × 10⁻⁵
Quick Values:
Conversion Formula
To convert Gallon (US)/day to Liter/second, multiply by 4.38126364 × 10⁻⁵
gal (US)/d × 4.38126364 × 10⁻⁵ = L/s

Calculation: 1 gal (US)/d × 4.38126364 × 10⁻⁵ = 4.38126364 × 10⁻⁵ L/s

Common Gallon (US)/day to Liter/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Gallon (US)/day (gal (US)/d) and Liter/second (L/s).

Tap any row to calculate
Gallon (US)/day to Liter/second: Primary Direct Table (15 Steps)
Gallon (US)/day to Liter/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 gal (US)/d 4.381264 × 10⁻⁸ L/s 4.381 × 10⁻⁸
0.01 gal (US)/d 4.381264 × 10⁻⁷ L/s 4.381 × 10⁻⁷
0.1 gal (US)/d 4.381264 × 10⁻⁶ L/s 4.381 × 10⁻⁶
0.5 gal (US)/d 2.190632 × 10⁻⁵ L/s 2.191 × 10⁻⁵
1 gal (US)/d 4.381264 × 10⁻⁵ L/s 4.381 × 10⁻⁵
2 gal (US)/d 8.762527 × 10⁻⁵ L/s 8.763 × 10⁻⁵
5 gal (US)/d 0.000219063 L/s 2.191 × 10⁻⁴
10 gal (US)/d 0.000438126 L/s 4.381 × 10⁻⁴
20 gal (US)/d 0.000876253 L/s 8.763 × 10⁻⁴
25 gal (US)/d 0.00109532 L/s 1.095 × 10⁻³
50 gal (US)/d 0.00219063 L/s 2.191 × 10⁻³
100 gal (US)/d 0.00438126 L/s 4.381 × 10⁻³
250 gal (US)/d 0.0109532 L/s 1.095 × 10⁻²
500 gal (US)/d 0.0219063 L/s 2.191 × 10⁻²
1000 gal (US)/d 0.0438126 L/s 4.381 × 10⁻²
Liter/second to Gallon (US)/day: Reciprocal Summary
Liter/second to Gallon (US)/day Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 L/s 22824.465324 gal (US)/d 2.282 × 10⁴
5 L/s 114122.326619 gal (US)/d 1.141 × 10⁵
10 L/s 228244.653237 gal (US)/d 2.282 × 10⁵
50 L/s 1141223.266187 gal (US)/d 1.141 × 10⁶
100 L/s 2282446.532374 gal (US)/d 2.282 × 10⁶
View Complete 15-Row Liter/second to Gallon (US)/day Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Gallon (US)/day (gal (US)/d) and Liter/second (L/s):

Gallon (US)/day References:

  • Average daily indoor water consumption for a four-person American suburban family 300 gal/d

Liter/second References:

  • Standard residential outdoor garden watering hose discharge rate 0.5 L/s
  • Municipal fire engine attack hose line water discharge delivery rate 15 L/s

Tap any benchmark above to automatically calculate its exact equivalent in Liter/second.

ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Gallon (US)/day to Liter/second

Converting Gallon (US)/day (gal (US)/d) to Liter/second (L/s) is a core calculation in Volumetric Flow Rate, which quantifies the volume of fluid passing through a designated conduit cross-section per unit of time. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Gallon (US)/day equals 4.381264 × 10⁻⁵ Liter/second, while 1 L/s equals 22824.465324 gal (US)/d.

Direct Factor1 gal (US)/d = 4.381264 × 10⁻⁵ L/s
Inverse Ratio1 L/s = 22824.465324 gal (US)/d
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (cubic meter per second (m³/s)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 gal (US)/d = 4.381264 × 10⁻⁸ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 L/s = 0.001 cubic meter per second (m³/s)
Step-by-step substitution for Gallon (US)/day → Liter/second:V(L/s) = V(gal (US)/d) × ( 4.381264 × 10⁻⁸ / 0.001 ) = V(gal (US)/d) × 4.381264 × 10⁻⁵
Mathematical FormulaValue in Liter/second = Value in Gallon (US)/day × 4.38126364 × 10⁻⁵Direct computational formula applied for standard conversion.
Worked Example

Converting 36 gal (US)/d yields an exact output of 0.00157725 L/s in Liter/second. Under higher industrial throughput, 10000 gal (US)/d translates to 0.438126 L/s.

Inverse check: 1 L/s = 22824.465324 gal (US)/d.

Understanding Gallon (US)/day and Liter/second

Gallon (US)/day

gal (US)/d
Imperial / US

A Gallon (US)/day (gal (US)/d) is an imperial and US customary unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a average daily indoor water consumption for a four-person American suburban family equals 300 gal/d.

Physical Setup

A physical magnitude of 1 gal (US)/d corresponds to 4.381264 × 10⁻⁸ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 gal (US)/d = 4.381264 × 10⁻⁸ m³/s

Liter/second

L/s
Standard Unit

A Liter/second (L/s) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a standard residential outdoor garden watering hose discharge rate equals 0.5 L/s, a municipal fire engine attack hose line water discharge delivery rate equals 15 L/s.

Physical Setup

A physical magnitude of 1 L/s corresponds to 0.001 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/s = 0.001 m³/s

Domain Metrology & Engineering Applications

Governing Law & Equation

Hydrodynamic Continuity Equation (Q = A · v̄)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electromagnetic inductive flowmeters, ultrasonic transit-time meters, turbine flowmeters, and differential orifice plates.

Primary Industry Sectors

Applied across municipal water supply distribution, chemical process loops, oil & gas pipeline custody transfer, and HVAC hydronic balancing under international metrology standard ISO 80000-4:2019, ASME MFC-3M.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Liter/second
Average daily indoor water consumption for a four-person American suburban family300 gal/d0.0131438 L/s
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, ASME MFC-3M and the BIPM SI Brochure (9th Edition). Governed by Hydrodynamic Continuity Equation (Q = A · v̄) under ISO 80000 dimensional vector [L³ T⁻¹].

Multi-Variable Engineering Bridge Fluid Continuity & Mass Flux

Volumetric to Mass Flow Continuity Bridge (kg/s • kg/h • lb/s • lb/h • t/h • g/s)

Convert volumetric flow rate (Q) directly into physical mass flow rate (ṁ) across process fluids using the continuity relation ṁ = ρ × Q, bridging volume flow [L³ T⁻¹] and mass flow [M T⁻¹] via density (ρ).

ṁ = ρ × Q
Vector: [m³/s] × [kg/m³] → [kg/s]
Live Calculated Bridge Equivalent:
1 gal (US)/d at Water (20°C / Standard Ambient) = 4.3734 × 10⁻⁵ kg/s
Equals 0.1574 kg/h • 9.6416 × 10⁻⁵ lb/s • 0.35 lb/h
SI Mass Flow
4.3734 × 10⁻⁵
kg/s
Kilograms per Second
Industrial Process
0.1574
kg/h
Kilograms per Hour
US Mass Flow
9.6416 × 10⁻⁵
lb/s
Pounds per Second
Boiler / Turbine Rating
0.35
lb/h
Pounds per Hour
Heavy Plant Header
0.0001574
t/h
Metric Tons per Hour
Chemical / Laboratory
0.04373
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 gal (US)/d × 4.38126364 × 10⁻⁸ = 4.38126364 × 10⁻⁸ m³/s
  2. 2. Apply Engineering Parameter (ρ):
    Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
  3. 3. Execute Governing Physical Law in SI Units:
    ṁ = ρ × Q = (4.38126364 × 10⁻⁸ m³/s) × (998.2 kg/m³) = 4.373377 × 10⁻⁵ kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 4.373377 × 10⁻⁵ × 1 = 4.3734 × 10⁻⁵ kg/s (Kilograms per Second) • kg/h: 4.373377 × 10⁻⁵ × 3600 = 0.1574 kg/h (Kilograms per Hour) • lb/s: 4.373377 × 10⁻⁵ × 2.2046 = 9.6416 × 10⁻⁵ lb/s (Pounds per Second) • lb/h: 4.373377 × 10⁻⁵ × 7936.6414 = 0.35 lb/h (Pounds per Hour) • t/h: 4.373377 × 10⁻⁵ × 3.6 = 0.0001574 t/h (Metric Tons per Hour) • g/s: 4.373377 × 10⁻⁵ × 1000 = 0.04373 g/s (Grams per Second)
Explore Full Density Converter →
Engineering Substance / Operating Standard Parameter Value (kg/m³) Reference State / Condition Typical Industrial & Engineering Application
Water (20°C / Standard Ambient) 998.2 998.2 kg/m³ HVAC hydronic & cooling water
Diesel Fuel (EN 590 / 20°C) 832 832.0 kg/m³ Generator & marine diesel consumption
Gasoline / Petrol (15°C) 740 740.0 kg/m³ Automotive fuel injection lines
Hydraulic Fluid (ISO VG 46) 870 870.0 kg/m³ Hydraulic power pack pumps
Air (Standard Ambient / NTP 20°C) 1.204 1.204 kg/m³ HVAC ductwork & compressor air
Embed
Need this Gallon (US)/day to Liter/second calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 4.38126364 × 10⁻⁵ liters/second (L/s) in 1 gallon (us)/day (gal (US)/d). To calculate larger amounts manually, simply multiply your total number of gallons (us)/day by the conversion multiplier of 4.38126364 × 10⁻⁵.

The mathematical formula to convert gallons (us)/day to liters/second is: [value] * 4.38126364 × 10⁻⁵ = liters/second. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from liters/second back to gallons (us)/day, you must divide your starting value by 4.38126364 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the liter/second input field.

1 Liter/second is larger than 1 Gallon (US)/day. Specifically, 1 Gallon (US)/day equals 4.38126364 × 10⁻⁵ liters/second, meaning 1 Liter/second is 22824.4653 times larger than 1 Gallon (US)/day (a difference of 4.36 orders of magnitude). Expressing measurements in gallons (us)/day requires a larger numerical value to represent the equivalent physical magnitude.

A typical average daily indoor water consumption for a four-person American suburban family measures 300 gal/d, which corresponds to 0.01314 Liter Per Second (Liter/second).

Physically Coupled Fluid Dynamics & Rheology Converters

Explore interconnected physical dimension converters within the Fluid Dynamics & Rheology cluster (ISO 80000-4:2019 / ISO 12572).

View Hub
Flow Mass Dimensional Hub & Tools
Mass Flux Density Dimensional Hub & Tools
Viscosity Dynamic Dimensional Hub & Tools
Viscosity Kinematic Dimensional Hub & Tools
Surface Tension Dimensional Hub & Tools
Permeability Dimensional Hub & Tools