BTU per Hour (IT) to dBW Converter
Power · unit-converter
Convert BTU per Hour (IT) 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.
Calculator
From: BTU per Hour (IT) (btu_hr)
To: dBW (dbw)
About BTU per Hour (IT)
BTU per hour expresses thermal power using the IT British thermal unit (≈ 1,055.056 J per BTU), divided by one hour. Common in HVAC equipment ratings.
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 btu per hour (it) 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 BTU per Hour (IT), multiply by 0.2930710701722222 W per btu_hr to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 btu_hr to dbw
10 btu_hr → 4.66973 dbw
Example #2: Convert 30 btu_hr to dbw
30 btu_hr → 9.440942 dbw
Summary
To convert BTU per Hour (IT) to dBW, multiply by watts per btu_hr, then apply dBW: dBW = 10 × log₁₀(P_W), where P_W = value_btu_hr × 0.2930710701722222. Watts must be positive.
Relationship context
You are converting between thermal engineering rates (BTU/h, kcal/h) (BTU per Hour (IT)) 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
| BTU per Hour (IT) (btu_hr) | dBW (dbw) |
|---|---|
| 0.1 | -15.33027 |
| 1 | -5.33027 |
| 2 | -2.319971 |
| 3 | -0.559058 |
| 4 | 0.690329 |
| 5 | 1.65943 |
| 6 | 2.451242 |
| 7 | 3.12071 |
| 8 | 3.700629 |
| 9 | 4.212155 |
| BTU per Hour (IT) (btu_hr) | dBW (dbw) |
|---|---|
| 10 | 4.66973 |
| 20 | 7.680029 |
| 30 | 9.440942 |
| 40 | 10.690329 |
| 50 | 11.65943 |
| 60 | 12.451242 |
| 70 | 13.12071 |
| 80 | 13.700629 |
| 90 | 14.212155 |
| 100 | 14.66973 |