dBW to Horsepower (mechanical) Converter
Power · unit-converter
Convert dBW to Horsepower (mechanical) 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: Horsepower (mechanical) (hp)
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 Horsepower (mechanical)
Mechanical horsepower here is the US definition: 550 ft·lbf/s ≈ 745.70 W. Automotive and industrial specs often cite hp.
How to convert decibels relative to 1 w (dbw) to horsepower (mechanical, 550 ft·lb/s)
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 Horsepower (mechanical), convert dBm → W, then divide by the watt factor for hp (745.6998715822702 W per 1 hp).
Examples
Example #1: Convert 10 dbw to horsepower (mechanical)
10 dbw → 0.0134102209 hp
Example #2: Convert 30 dbw to horsepower (mechanical)
30 dbw → 1.3410220896 hp
Summary
To convert dBW to Horsepower (mechanical), first convert dBW to watts: P_W = 10^(dBW/10). Then divide by the watt factor for hp: value_hp = P_W / 745.6998715822702.
Relationship context
You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)) and mechanical power (horsepower, ft·lb/s) (Horsepower (mechanical, 550 ft·lb/s)). 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) | Horsepower (mechanical) (hp) |
|---|---|
| 0.1 | 0.0013722585 |
| 1 | 0.0016882468 |
| 2 | 0.0021253768 |
| 3 | 0.0026756908 |
| 4 | 0.0033684952 |
| 5 | 0.0042406842 |
| 6 | 0.0053387051 |
| 7 | 0.0067210315 |
| 8 | 0.0084612774 |
| 9 | 0.0106521171 |
| dBW (dbw) | Horsepower (mechanical) (hp) |
|---|---|
| 10 | 0.0134102209 |
| 20 | 0.134102209 |
| 30 | 1.3410220896 |
| 40 | 13.410220896 |
| 50 | 134.10220896 |
| 60 | 1,341.0220896 |
| 70 | 13,410.220896 |
| 80 | 134,102.20896 |
| 90 | 1,341,022.0896000001 |
| 100 | 13,410,220.8959999997 |