dBW to Metric Horsepower (PS/CV) Converter
Power · unit-converter
Convert dBW to Metric Horsepower (PS/CV) 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: Metric Horsepower (PS/CV) (ps)
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 Metric Horsepower (PS/CV)
PS is metric horsepower (also called Pferdestarke), defined as 735.49875 W. It appears widely in EU and Korean vehicle specs.
How to convert decibels relative to 1 w (dbw) to metric horsepower (ps/cv)
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 Metric Horsepower (PS/CV), convert dBm → W, then divide by the watt factor for ps (735.49875 W per 1 ps).
Examples
Example #1: Convert 10 dbw to metric horsepower (ps/cv)
10 dbw → 0.0135962162 ps
Example #2: Convert 30 dbw to metric horsepower (ps/cv)
30 dbw → 1.3596216173 ps
Summary
To convert dBW to Metric Horsepower (PS/CV), first convert dBW to watts: P_W = 10^(dBW/10). Then divide by the watt factor for ps: value_ps = P_W / 735.49875.
Relationship context
You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)) and mechanical power (horsepower, ft·lb/s) (Metric Horsepower (PS/CV)). 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) | Metric Horsepower (PS/CV) (ps) |
|---|---|
| 0.1 | 0.0013912913 |
| 1 | 0.0017116622 |
| 2 | 0.002154855 |
| 3 | 0.0027128018 |
| 4 | 0.0034152151 |
| 5 | 0.0042995011 |
| 6 | 0.0054127512 |
| 7 | 0.00681425 |
| 8 | 0.0085786325 |
| 9 | 0.0107998584 |
| dBW (dbw) | Metric Horsepower (PS/CV) (ps) |
|---|---|
| 10 | 0.0135962162 |
| 20 | 0.1359621617 |
| 30 | 1.3596216173 |
| 40 | 13.596216173 |
| 50 | 135.96216173 |
| 60 | 1,359.6216173 |
| 70 | 13,596.216173 |
| 80 | 135,962.16173 |
| 90 | 1,359,621.6173 |
| 100 | 13,596,216.1730000004 |