dBm to Foot-pound per Second Converter

Power · unit-converter

Convert dBm 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: dBm (dbm)

To: Foot-pound per Second (ft_lb_s)

About dBm

dBm is a logarithmic power level relative to 1 mW: P(W) = 10^((dBm − 30)/10). It is standard in RF and telecommunications; it is not a linear multiple of the watt.

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 mw (dbm) 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 dbm to foot-pound per second

10 dbm0.0073756215 ft_lb_s

Example #2: Convert 30 dbm to foot-pound per second

30 dbm0.7375621493 ft_lb_s

Summary

To convert dBm to Foot-pound per Second, first convert dBm to watts: P_W = 10^((dBm − 30)/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 mW (dBm)) 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

dBm (dbm)Foot-pound per Second (ft_lb_s)
0.10.0007547422
10.0009285357
20.0011689572
30.00147163
40.0018526724
50.0023323763
60.0029362878
70.0036965673
80.0046537026
90.0058586644
dBm (dbm)Foot-pound per Second (ft_lb_s)
100.0073756215
200.0737562149
300.7375621493
407.3756214928
5073.7562149277
60737.562149277
707,375.62149277
8073,756.2149277
90737,562.149277
1007,375,621.4927700004