Metric Horsepower (PS/CV) to dBm Converter

Power · unit-converter

Convert Metric Horsepower (PS/CV) to dBm 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 (PS/CV) (ps)

To: dBm (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.

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.

How to convert metric horsepower (ps/cv) to decibels relative to 1 mw (dbm)

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 (PS/CV), multiply by 735.49875 W per ps to get watts, then apply the dBm formula (watts must be positive).

Examples

Example #1: Convert 10 ps to dbm

10 ps68.665819 dbm

Example #2: Convert 30 ps to dbm

30 ps73.437032 dbm

Summary

To convert Metric Horsepower (PS/CV) to dBm, multiply by watts per ps, then apply dBm: dBm = 10 × log₁₀(P_W × 1000), where P_W = value_ps × 735.49875. Watts must be positive.

Relationship context

You are converting between mechanical power (horsepower, ft·lb/s) (Metric Horsepower (PS/CV)) and logarithmic RF levels (dBm) (Decibels relative to 1 mW (dBm)). 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 (PS/CV) (ps)dBm (dbm)
0.148.665819
158.665819
261.676119
363.437032
464.686419
565.655519
666.447332
767.1168
867.696719
968.208244
Metric Horsepower (PS/CV) (ps)dBm (dbm)
1068.665819
2071.676119
3073.437032
4074.686419
5075.655519
6076.447332
7077.1168
8077.696719
9078.208244
10078.665819