What is the relationship between Watts and Watt-hours?

A Watt (W) is a unit of power measuring the instantaneous rate of energy consumption (1 Joule/second). A Watt-hour (Wh) or Kilowatt-hour (kWh) is a unit of total energy consumed over time. A 1,000-Watt (1 kW) heater running for 3 hours consumes exactly 3 kWh (10.8 Megajoules) of energy.

How do you calculate energy consumption cost from equipment wattage?

Energy (kWh) = [Power (Watts) × Hours of Operation] / 1,000. Total Cost = Energy (kWh) × Electricity Rate (/kWh). Operating a 1,500W space heater for 8 hours daily at 0.15/kWh costs: (1.5 kW × 8h) × 0.15 = 1.80 per day (54/month).

Foot pound-force/second to Kilowatt (ft·lbf/s to kW) Conversion

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Live Conversion • ISO 80000-4:2019 Certified

1 Foot pound-force/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-force/second

To / Result

Quick Values:

1 ft·lbf/s 5 ft·lbf/s 10 ft·lbf/s 25 ft·lbf/s 50 ft·lbf/s 100 ft·lbf/s 250 ft·lbf/s 500 ft·lbf/s 1,000 ft·lbf/s

Conversion Formula

To convert Foot pound-force/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-force/second to Kilowatt Calculations

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

Tap any row to calculate

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

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

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

Kilowatt to Foot pound-force/second: Reciprocal Summary

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

Kilowatt to Foot pound-force/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 kW is equal to 737.562149 ft·lbf/s (Foot pound-force/second)	7.376 × 10²
5 kW is equal to 3687.810746 ft·lbf/s (Foot pound-force/second)	3.688 × 10³
10 kW is equal to 7375.621493 ft·lbf/s (Foot pound-force/second)	7.376 × 10³
50 kW is equal to 36878.107464 ft·lbf/s (Foot pound-force/second)	3.688 × 10⁴
100 kW is equal to 73756.214928 ft·lbf/s (Foot pound-force/second)	7.376 × 10⁴

View Complete 15-Row Kilowatt to Foot pound-force/second Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Foot pound-force/second (ft·lbf/s) and Kilowatt (kW):

Foot pound-force/second References:

James Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp) 550 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-force/second to Kilowatt

Converting Foot pound-force/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-force/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-force/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-force/second × 0.0013558179Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 36 ft·lbf/s, applying the conversion factor yields exactly 0.0488094 kW. At larger operational scale, 10000 Foot pound-force/second corresponds to 13.558179 kW.

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

Understanding Foot pound-force/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
James Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp)	`550 ft·lbf/s`	`0.7457 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 Grid Energy & Industrial Work

Continuous Power & Operating Duration Bridge (kWh • Megajoules • BTU • Average Power • Battery Runtime)

Bridge instantaneous work rate [M L² T⁻³] and accumulated energy consumption [M L² T⁻²] over operational shifts and duty cycles via the work-power equation E = P × t.

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

Select Equipment Operating Duration (t): 3600 Seconds / Hours

Coupling: E = P × t

Forward Reverse

Live Calculated Bridge Equivalent:

1 ft·lbf/s at 1-Hour Standard Benchmark Runtime = 0.001356 kWh

Equals 0.004881 MJ • 4.63 BTU • 4880.94 J

Utility Standard

0.001356

kWh

Kilowatt-Hours

SI Metric Energy

0.004881

Megajoules

HVAC & Thermal

4.63

BTU

British Thermal Units

SI Base Unit

4880.94

Joules

Grid Power Scale

1.355818 × 10⁻⁶

MWh

Megawatt-Hours

Mechanical Work

0.001818

hp·h

Horsepower-Hours

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 Standard Benchmark Runtime at t = 3600 Seconds / Hours
3. Execute Governing Physical Law in SI Units:
E = P × t = (1.35581795) × (3600) = 4880.944614 J
4. Convert to Standard Engineering Units:
• kWh: 4880.944614 × 2.7778 × 10⁻⁷ = 0.001356 kWh (Kilowatt-Hours) • MJ: 4880.944614 × 1 × 10⁻⁶ = 0.004881 MJ (Megajoules) • BTU: 4880.944614 × 0.0009478 = 4.63 BTU (British Thermal Units) • J: 4880.944614 × 1 = 4880.94 J (Joules) • MWh: 4880.944614 × 2.7778 × 10⁻¹⁰ = 1.355818 × 10⁻⁶ MWh (Megawatt-Hours) • hp·h: 4880.944614 × 3.7251 × 10⁻⁷ = 0.001818 hp·h (Horsepower-Hours)

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Engineering Substance / Operating Standard	Parameter Value (Seconds / Hours)	Reference State / Condition	Typical Industrial & Engineering Application
1-Second Pulse (Inrush / Circuit Breaker)	`1`	1.0 second	Motor inrush peak & capacitor discharge
1-Minute Short Cycle (Microwave / Lift)	`60`	60 seconds	Elevator transit & commercial appliance duty
1-Hour Standard Benchmark Runtime	`3600`	3,600 seconds	Standard utility kilowatt-hour energy basis
8-Hour Factory Shift (Industrial Machinery)	`28800`	8.0 hours	Single industrial production line workday
24-Hour Continuous Day (Data Center / Pump)	`86400`	24.0 hours	Always-on server racks & municipal water treatment
7-Day Continuous Week (Chemical Refining)	`604800`	168.0 hours	Continuous manufacturing process plant run
30-Day Monthly Billing Cycle	`2592000`	720.0 hours	Electric utility meter billing period
365-Day Annual Base Load Operation	`3.1536 × 10⁷`	8,760 hours	Grid generator annual capacity factor calculation

Frequently Asked Questions

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

A typical james Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp) measures 550 ft·lbf/s, which corresponds to 0.7457 kW (Kilowatt).

In international metrological standards, 1 ft·lbf/s = 0.00135582 kW. This exact scaling factor relies on 1 kW = 1000 W.

The direct mathematical formula to calculate Kilowatts from foot pound-force/second is: V(kW) = V(ft·lbf/s) × 0.00135582.

To convert Kilowatts to foot pound-force/second, multiply the value by 737.562: V(ft·lbf/s) = V(kW) × 737.562.

One Kilowatt equals 737.562 ft·lbf/s, which corresponds to approximately 1.34102 horsepower (1 hp = 550 ft·lbf/s = 0.7457 kW).

Related Foot pound-force/second and Kilowatt Conversions

Convert Foot pound-force/second to Other Units

Foot pound-force/second to Watt Foot pound-force/second to Exawatt Foot pound-force/second to Petawatt Foot pound-force/second to Terawatt Foot pound-force/second to Gigawatt Foot pound-force/second to Megawatt Foot pound-force/second to Hectowatt Foot pound-force/second to Dekawatt Foot pound-force/second to Deciwatt Foot pound-force/second to Centiwatt Foot pound-force/second to Milliwatt Foot pound-force/second to Microwatt

Convert Other Units to Kilowatt

Watt to Kilowatt Exawatt to Kilowatt Petawatt to Kilowatt Terawatt to Kilowatt Gigawatt to Kilowatt Megawatt to Kilowatt Hectowatt to Kilowatt Dekawatt to Kilowatt Deciwatt to Kilowatt Centiwatt to Kilowatt Milliwatt to Kilowatt Microwatt to Kilowatt

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