dBW to Ton of Refrigeration (TR) Converter
Power · unit-converter
Convert dBW to Ton of Refrigeration (TR) 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: Ton of Refrigeration (TR) (tr)
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 Ton of Refrigeration (TR)
One ton of refrigeration (TR) equals 12,000 BTU/h (IT), approximately 3,516.85 W. It is widely used in HVAC and refrigeration sizing.
How to convert decibels relative to 1 w (dbw) to tons of refrigeration (tr)
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 Ton of Refrigeration (TR), convert dBm → W, then divide by the watt factor for tr (3516.8528420666667 W per 1 tr).
Examples
Example #1: Convert 10 dbw to ton of refrigeration (tr)
10 dbw → 0.0028434514 tr
Example #2: Convert 30 dbw to ton of refrigeration (tr)
30 dbw → 0.2843451361 tr
Summary
To convert dBW to Ton of Refrigeration (TR), first convert dBW to watts: P_W = 10^(dBW/10). Then divide by the watt factor for tr: value_tr = P_W / 3516.8528420666667.
Relationship context
You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)) and apparent power at unity PF (VA) (Tons of Refrigeration (TR)). 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) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 0.1 | 0.0002909684 |
| 1 | 0.0003579693 |
| 2 | 0.0004506567 |
| 3 | 0.0005673431 |
| 4 | 0.0007142427 |
| 5 | 0.0008991783 |
| 6 | 0.0011319984 |
| 7 | 0.0014251015 |
| 8 | 0.0017940965 |
| 9 | 0.0022586337 |
| dBW (dbw) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 10 | 0.0028434514 |
| 20 | 0.0284345136 |
| 30 | 0.2843451361 |
| 40 | 2.8434513609 |
| 50 | 28.4345136094 |
| 60 | 284.345136094 |
| 70 | 2,843.45136094 |
| 80 | 28,434.5136094 |
| 90 | 284,345.136094 |
| 100 | 2,843,451.36094 |