Metric Horsepower (CV) to dBW Converter
Power · unit-converter
Convert Metric Horsepower (CV) 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.
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From: Metric Horsepower (CV) (cv)
To: dBW (dbw)
About Metric Horsepower (CV)
CV (cheval-vapeur) is a metric horsepower unit equivalent to 735.49875 W, commonly used in European market specs.
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 metric horsepower (cv) 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 Metric Horsepower (CV), multiply by 735.49875 W per cv to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 cv to dbw
10 cv → 38.665819 dbw
Example #2: Convert 30 cv to dbw
30 cv → 43.437032 dbw
Summary
To convert Metric Horsepower (CV) to dBW, multiply by watts per cv, then apply dBW: dBW = 10 × log₁₀(P_W), where P_W = value_cv × 735.49875. Watts must be positive.
Relationship context
You are converting between mechanical power (horsepower, ft·lb/s) (Metric Horsepower (CV)) 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
| Metric Horsepower (CV) (cv) | dBW (dbw) |
|---|---|
| 0.1 | 18.665819 |
| 1 | 28.665819 |
| 2 | 31.676119 |
| 3 | 33.437032 |
| 4 | 34.686419 |
| 5 | 35.655519 |
| 6 | 36.447332 |
| 7 | 37.1168 |
| 8 | 37.696719 |
| 9 | 38.208244 |
| Metric Horsepower (CV) (cv) | dBW (dbw) |
|---|---|
| 10 | 38.665819 |
| 20 | 41.676119 |
| 30 | 43.437032 |
| 40 | 44.686419 |
| 50 | 45.655519 |
| 60 | 46.447332 |
| 70 | 47.1168 |
| 80 | 47.696719 |
| 90 | 48.208244 |
| 100 | 48.665819 |