dBW to BTU per Hour (IT) Converter
Power · unit-converter
Convert dBW to BTU per Hour (IT) 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: BTU per Hour (IT) (btu_hr)
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 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.
How to convert decibels relative to 1 w (dbw) to btu per hour (it)
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 BTU per Hour (IT), convert dBm → W, then divide by the watt factor for btu_hr (0.2930710701722222 W per 1 btu_hr).
Examples
Example #1: Convert 10 dbw to btu per hour (it)
10 dbw → 34.1214163313 btu_hr
Example #2: Convert 30 dbw to btu per hour (it)
30 dbw → 3412.14163313 btu_hr
Summary
To convert dBW to BTU per Hour (IT), first convert dBW to watts: P_W = 10^(dBW/10). Then divide by the watt factor for btu_hr: value_btu_hr = P_W / 0.2930710701722222.
Relationship context
You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)) and thermal engineering rates (BTU/h, kcal/h) (BTU per Hour (IT)). 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) | BTU per Hour (IT) (btu_hr) |
|---|---|
| 0.1 | 3.4916206219 |
| 1 | 4.2956318106 |
| 2 | 5.4078800461 |
| 3 | 6.8081176139 |
| 4 | 8.5709122706 |
| 5 | 10.7901392598 |
| 6 | 13.5839805109 |
| 7 | 17.1012182585 |
| 8 | 21.5291582383 |
| 9 | 27.1036044007 |
| dBW (dbw) | BTU per Hour (IT) (btu_hr) |
|---|---|
| 10 | 34.1214163313 |
| 20 | 341.214163313 |
| 30 | 3,412.14163313 |
| 40 | 34,121.4163313 |
| 50 | 341,214.163313 |
| 60 | 3,412,141.63313 |
| 70 | 34,121,416.3312999979 |
| 80 | 341,214,163.3130000234 |
| 90 | 3,412,141,633.1300001144 |
| 100 | 34,121,416,331.2999992371 |