Horsepower (mechanical) to dBm Converter
Power · unit-converter
Convert Horsepower (mechanical) 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.
Calculator
From: Horsepower (mechanical) (hp)
To: dBm (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.
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 horsepower (mechanical, 550 ft·lb/s) 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 Horsepower (mechanical), multiply by 745.6998715822702 W per hp to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 hp to dbm
10 hp → 68.725641 dbm
Example #2: Convert 30 hp to dbm
30 hp → 73.496853 dbm
Summary
To convert Horsepower (mechanical) to dBm, multiply by watts per hp, then apply dBm: dBm = 10 × log₁₀(P_W × 1000), where P_W = value_hp × 745.6998715822702. Watts must be positive.
Relationship context
You are converting between mechanical power (horsepower, ft·lb/s) (Horsepower (mechanical, 550 ft·lb/s)) 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
| Horsepower (mechanical) (hp) | dBm (dbm) |
|---|---|
| 0.1 | 48.725641 |
| 1 | 58.725641 |
| 2 | 61.735941 |
| 3 | 63.496853 |
| 4 | 64.746241 |
| 5 | 65.715341 |
| 6 | 66.507153 |
| 7 | 67.176621 |
| 8 | 67.756541 |
| 9 | 68.268066 |
| Horsepower (mechanical) (hp) | dBm (dbm) |
|---|---|
| 10 | 68.725641 |
| 20 | 71.735941 |
| 30 | 73.496853 |
| 40 | 74.746241 |
| 50 | 75.715341 |
| 60 | 76.507153 |
| 70 | 77.176621 |
| 80 | 77.756541 |
| 90 | 78.268066 |
| 100 | 78.725641 |