dBW to Foot-pound per Second Converter
Power · unit-converter
Convert dBW to Foot-pound per Second 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: dBW (dbw)
To: Foot-pound per Second (ft_lb_s)
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.
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).
How to convert decibels relative to 1 w (dbw) to foot-pounds per second
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.
To reach Foot-pound per Second, convert dBm → W, then divide by the watt factor for ft_lb_s (1.3558179483314003 W per 1 ft_lb_s).
Examples
Example #1: Convert 10 dbw to foot-pound per second
10 dbw → 7.3756214928 ft_lb_s
Example #2: Convert 30 dbw to foot-pound per second
30 dbw → 737.562149277 ft_lb_s
Summary
To convert dBW to Foot-pound per Second, first convert dBW to watts: P_W = 10^(dBW/10). Then divide by the watt factor for ft_lb_s: value_ft_lb_s = P_W / 1.3558179483314003.
Relationship context
You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)) and mechanical power (horsepower, ft·lb/s) (Foot-pounds per Second). 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
| dBW (dbw) | Foot-pound per Second (ft_lb_s) |
|---|---|
| 0.1 | 0.7547421787 |
| 1 | 0.9285357325 |
| 2 | 1.1689572294 |
| 3 | 1.4716299614 |
| 4 | 1.8526723552 |
| 5 | 2.3323763077 |
| 6 | 2.9362878036 |
| 7 | 3.6965673322 |
| 8 | 4.653702551 |
| 9 | 5.8586644004 |
| dBW (dbw) | Foot-pound per Second (ft_lb_s) |
|---|---|
| 10 | 7.3756214928 |
| 20 | 73.7562149277 |
| 30 | 737.562149277 |
| 40 | 7,375.62149277 |
| 50 | 73,756.2149277 |
| 60 | 737,562.149277 |
| 70 | 7,375,621.4927700004 |
| 80 | 73,756,214.927699998 |
| 90 | 737,562,149.2769999504 |
| 100 | 7,375,621,492.7700004578 |