Foot-pounds/second to Kilowatts Converter (ft·lbf/s to kW)

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-4:2019 Certified

1 Foot-pound/second = 0.0013558179 Kilowatt

1 ft·lbf/s = 0.00135582 kW • 1 kW = 737.562149 ft·lbf/s

Decimals:

Certified Authority Value

0.00135582

From / Input

ft·lbf/s

Swap to Kilowatt to Foot-pound/second

To / Result

Quick Values:

Conversion Formula

To convert Foot-pound/second to Kilowatt, multiply by 0.0013558179

ft·lbf/s × 0.0013558179 = kW

Calculation: 1 ft·lbf/s × 0.0013558179 = 0.0013558179 kW

Common Foot-pound/second to Kilowatt Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Foot-pound/second (ft·lbf/s) and Kilowatt (kW).

Tap any row to calculate

Foot-pound/second to Kilowatt: Primary Direct Table (15 Steps)

Rule: 1 Foot-pound/second is equal to 0.00135582 kW (Kilowatt)

Foot-pound/second to Kilowatt Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft·lbf/s 1.355818 × 10⁻⁶ kW	1.356 × 10⁻⁶
0.01 ft·lbf/s 1.355818 × 10⁻⁵ kW	1.356 × 10⁻⁵
0.1 ft·lbf/s 0.000135582 kW	1.356 × 10⁻⁴
0.5 ft·lbf/s 0.000677909 kW	6.779 × 10⁻⁴
1 ft·lbf/s 0.00135582 kW	1.356 × 10⁻³
2 ft·lbf/s 0.00271164 kW	2.712 × 10⁻³
5 ft·lbf/s 0.00677909 kW	6.779 × 10⁻³
10 ft·lbf/s 0.0135582 kW	1.356 × 10⁻²
20 ft·lbf/s 0.0271164 kW	2.712 × 10⁻²
25 ft·lbf/s 0.0338954 kW	3.39 × 10⁻²
50 ft·lbf/s 0.0677909 kW	6.779 × 10⁻²
100 ft·lbf/s 0.135582 kW	1.356 × 10⁻¹
250 ft·lbf/s 0.338954 kW	3.39 × 10⁻¹
500 ft·lbf/s 0.677909 kW	6.779 × 10⁻¹
1000 ft·lbf/s 1.355818 kW	1.356 × 10⁰

Kilowatt to Foot-pound/second: Reciprocal Summary

Rule: 1 Kilowatt is equal to 737.562149 ft·lbf/s (Foot-pound/second)

Kilowatt to Foot-pound/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 kW 737.562149 ft·lbf/s	7.376 × 10²
5 kW 3687.810745 ft·lbf/s	3.688 × 10³
10 kW 7375.62149 ft·lbf/s	7.376 × 10³
50 kW 36878.10745 ft·lbf/s	3.688 × 10⁴
100 kW 73756.2149 ft·lbf/s	7.376 × 10⁴

View Complete 15-Row Kilowatt to Foot-pound/second 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 Foot-pound/second (ft·lbf/s) and Kilowatt (kW):

Foot-pound/second References:

Small decorative holiday LED string light bulb power draw 0.737562 ft·lbf/s
Fast-charging smartphone USB-C wall power adapter output 14.7512 ft·lbf/s
Average adult human resting metabolic heat dissipation output 73.7562 ft·lbf/s
High-performance desktop gaming computer power supply rating 553.17 ft·lbf/s

Kilowatt References:

Standard commercial household kitchen countertop microwave oven heating power 1 kW
Standard residential single-family electric water heater heating element 4.5 kW
Level 2 residential electric vehicle (EV) home charging station power 7.2 kW
Compact urban passenger electric automobile drive motor peak output 100 kW

Tap any benchmark above to automatically calculate its exact equivalent in Kilowatt.

ISQ Dimension: [M L² T⁻³] Coherent SI Unit: watt (W) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Foot-pound/second to Kilowatt

Converting Foot-pound/second (ft·lbf/s) to Kilowatt (kW) is a core calculation in Power, which measures the rate of energy expenditure, conversion, or work transfer 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 Foot-pound/second equals 0.00135582 Kilowatt, while 1 kW equals 737.562149 ft·lbf/s.

Direct Factor1 ft·lbf/s = 0.00135582 kW

Inverse Ratio1 kW = 737.562149 ft·lbf/s

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 (watt (W)) without arbitrary rounding:

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 (k_source):1 ft·lbf/s = 1.355818 watt (W)

2. Target SI Bridge (k_target):1 kW = 1000 watt (W)

Step-by-step substitution for Foot-pound/second → Kilowatt:V(kW) = V(ft·lbf/s) × ( 1.355818 / 1000 ) = V(ft·lbf/s) × 0.00135582

Mathematical FormulaValue in Kilowatt = Value in Foot-pound/second × 0.0013558179Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 24 Foot-pound/second (ft·lbf/s) produces 0.0325396 Kilowatt (kW). In heavy-duty utility and industrial workloads, 480 ft·lbf/s equals 0.650793 kW.

Inverse check: 1 kW = 737.562149 ft·lbf/s.

Understanding Foot-pound/second and Kilowatt

Domain Metrology & Engineering Applications

Governing Law & Equation

Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using precision digital power analyzers (Yokogawa-type), absorption water-brake dynamometers, and RF thermistor bolometer mounts.

Primary Industry Sectors

Applied across electric vehicle powertrain dyno testing, renewable solar inverter rating, industrial steam turbine generation, and data center power management under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering Reference	Reference Value	Converted to Kilowatt
Standard commercial household kitchen countertop microwave oven heating power	`1 kW`	`0.00135582 kW`
Standard residential single-family electric water heater heating element	`4.5 kW`	`0.00610118 kW`
Level 2 residential electric vehicle (EV) home charging station power	`7.2 kW`	`0.00976189 kW`
Compact urban passenger electric automobile drive motor peak output	`100 kW`	`0.135582 kW`

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v) under ISO 80000 dimensional vector [M L² T⁻³].

Multi-Variable Engineering Bridge Continuous Power & Energy Storage

Continuous Power & Load Duration Bridge (Joules • kWh • Megajoules • Watt-Hours • BTU)

Calculate total energy consumption and utility billing E = P × t across equipment operating duty cycles, bridging power [M L² T⁻³] with energy [M L² T⁻²].

Input Equipment Power Rating (P): ft·lbf/s

Select Operating Timespan: 3600 s

Governing Law: E = P × t

Vector: [W] × [s] → [J]

Live Calculated Bridge Equivalent:

1 ft·lbf/s at 1 Hour Continuous Run (3,600 s) = 4880.9446 J

Equals 4.8809 kJ • 0.00488094 MJ • 0.00135582 kWh

SI Energy

4880.9446

Joules

Thermal Scale

4.8809

Kilojoules

Bulk Energy

0.00488094

Megajoules

Electric Utility Meter

0.00135582

kWh

Kilowatt-Hours

Battery Capacity

1.3558

Watt-Hours

Imperial Thermal

4.6262

BTU

British Thermal Units

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 ft·lbf/s × 1.35581795 = 1.35581795 W
2. Apply Engineering Parameter (t):
Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
3. Execute Governing Physical Law in SI Units:
E = P × t = (1.35581795 W) × (3600 s) = 4880.944616 J
4. Convert to Standard Engineering Units:
• J: 4880.944616 × 1 = 4880.9446 J (Joules) • kJ: 4880.944616 × 0.001 = 4.8809 kJ (Kilojoules) • MJ: 4880.944616 × 1 × 10⁻⁶ = 0.00488094 MJ (Megajoules) • kWh: 4880.944616 × 2.7778 × 10⁻⁷ = 0.00135582 kWh (Kilowatt-Hours) • Wh: 4880.944616 × 0.0002778 = 1.3558 Wh (Watt-Hours) • BTU: 4880.944616 × 0.0009478 = 4.6262 BTU (British Thermal Units)

Explore Full Energy Converter →

Engineering Substance / Operating Standard	Parameter Value (s)	Reference State / Condition	Typical Industrial & Engineering Application
1 Hour Continuous Run (3,600 s)	`3600`	3,600 s (1 hour)	Standard 1-hour utility metering basis
8-Hour Commercial Work Shift (28,800 s)	`28800`	28,800 s (8 hours)	Single factory shift run time
24-Hour Continuous Operation (86,400 s)	`86400`	86,400 s (1 day)	24/7 server rack or process pump
30-Day Monthly Billing Cycle (2,592,000 s)	`2592000`	2,592,000 s (720 hours)	Monthly utility electric billing cycle
1 Full Year (8,760 hours / 31,536,000 s)	`3.1536 × 10⁷`	31,536,000 s (1 year)	Annual facility energy footprint

Frequently Asked Questions

There are exactly 0.0013558179 kilowatts (kW) in 1 foot-pound/second (ft·lbf/s). To calculate larger amounts manually, simply multiply your total number of foot-pounds/second by the conversion multiplier of 0.0013558179.

The mathematical formula to convert foot-pounds/second to kilowatts is: [value] * 0.0013558179 = kilowatts. 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 kilowatts back to foot-pounds/second, you must divide your starting value by 0.0013558179. Our bidirectional tool automatically computes this inverse equation the moment you type into the kilowatt input field.

1 Kilowatt is larger than 1 Foot-pound/second. Specifically, 1 Foot-pound/second equals 0.0013558179 kilowatts, meaning 1 Kilowatt is 737.5621 times larger than 1 Foot-pound/second (a difference of 2.87 orders of magnitude). Expressing measurements in foot-pounds/second requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Foot-pound/second converts to 0.0013558179 kilowatts. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.