dBm to Ton of Refrigeration (TR) Converter
Power · unit-converter
Convert dBm 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: dBm (dbm)
To: Ton of Refrigeration (TR) (tr)
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.
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 mw (dbm) 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 dbm to ton of refrigeration (tr)
10 dbm → 0.0000028435 tr
Example #2: Convert 30 dbm to ton of refrigeration (tr)
30 dbm → 0.0002843451 tr
Summary
To convert dBm to Ton of Refrigeration (TR), first convert dBm to watts: P_W = 10^((dBm − 30)/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 mW (dBm)) 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
| dBm (dbm) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 0.1 | 0.000000291 |
| 1 | 0.000000358 |
| 2 | 0.0000004507 |
| 3 | 0.0000005673 |
| 4 | 0.0000007142 |
| 5 | 0.0000008992 |
| 6 | 0.000001132 |
| 7 | 0.0000014251 |
| 8 | 0.0000017941 |
| 9 | 0.0000022586 |
| dBm (dbm) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 10 | 0.0000028435 |
| 20 | 0.0000284345 |
| 30 | 0.0002843451 |
| 40 | 0.0028434514 |
| 50 | 0.0284345136 |
| 60 | 0.2843451361 |
| 70 | 2.8434513609 |
| 80 | 28.4345136094 |
| 90 | 284.345136094 |
| 100 | 2,843.45136094 |