Foot-pound per Second to dBW Converter
Power · unit-converter
Convert Foot-pound per Second to dBW with a fixed input and output unit, step-by-step formula line, and reference tables. Linear units use SI watt definitions; mechanical hp uses 550 ft·lbf/s; BTU/h uses the IT BTU; dBm/dBW are logarithmic relative to 1 mW and 1 W. The full Power Converter also includes PS/CV, TR, kVA/MVA, and ft·lb/s.
Calculator
From: Foot-pound per Second (ft_lb_s)
To: dBW (dbw)
About Foot-pound per Second
Foot-pounds per second is a mechanical power rate: 1 ft·lb/s = 1.3558179483314004 W (exactly, from the international foot definition).
About dBW
dBW is a logarithmic power level relative to 1 W: P(W) = 10^(dBW/10). RF, microwave, and antenna work often use dBW with dBm.
How to convert foot-pounds per second to decibels relative to 1 w (dbw)
dBm/dBW are logarithmic power levels. P_W = 10^((dBm − 30) / 10), P_W = 10^(dBW / 10), and inverse mappings use 10 × log₁₀(·) with P_W > 0.
From Foot-pound per Second, multiply by 1.3558179483314003 W per ft_lb_s to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 ft_lb_s to dbw
10 ft_lb_s → 11.322014 dbw
Example #2: Convert 30 ft_lb_s to dbw
30 ft_lb_s → 16.093226 dbw
Summary
To convert Foot-pound per Second to dBW, multiply by watts per ft_lb_s, then apply dBW: dBW = 10 × log₁₀(P_W), where P_W = value_ft_lb_s × 1.3558179483314003. Watts must be positive.
Relationship context
You are converting between mechanical power (horsepower, ft·lb/s) (Foot-pounds per Second) and logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)). Log units (dBm/dBW) use base-10 definitions relative to 1 mW or 1 W; linear units map through watts first, then to or from the selected log unit. Only strictly positive power in watts maps to a real dB power value.
Conversion tables
| Foot-pound per Second (ft_lb_s) | dBW (dbw) |
|---|---|
| 0.1 | -8.677986 |
| 1 | 1.322014 |
| 2 | 4.332314 |
| 3 | 6.093226 |
| 4 | 7.342614 |
| 5 | 8.311714 |
| 6 | 9.103526 |
| 7 | 9.772994 |
| 8 | 10.352914 |
| 9 | 10.864439 |
| Foot-pound per Second (ft_lb_s) | dBW (dbw) |
|---|---|
| 10 | 11.322014 |
| 20 | 14.332314 |
| 30 | 16.093226 |
| 40 | 17.342614 |
| 50 | 18.311714 |
| 60 | 19.103526 |
| 70 | 19.772994 |
| 80 | 20.352914 |
| 90 | 20.864439 |
| 100 | 21.322014 |