Ton of Refrigeration (TR) to dBm Converter
Power · unit-converter
Convert Ton of Refrigeration (TR) 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: Ton of Refrigeration (TR) (tr)
To: dBm (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.
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 tons of refrigeration (tr) 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 Ton of Refrigeration (TR), multiply by 3516.8528420666667 W per tr to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 tr to dbm
10 tr → 75.461542 dbm
Example #2: Convert 30 tr to dbm
30 tr → 80.232755 dbm
Summary
To convert Ton of Refrigeration (TR) to dBm, multiply by watts per tr, then apply dBm: dBm = 10 × log₁₀(P_W × 1000), where P_W = value_tr × 3516.8528420666667. Watts must be positive.
Relationship context
You are converting between apparent power at unity PF (VA) (Tons of Refrigeration (TR)) 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
| Ton of Refrigeration (TR) (tr) | dBm (dbm) |
|---|---|
| 0.1 | 55.461542 |
| 1 | 65.461542 |
| 2 | 68.471842 |
| 3 | 70.232755 |
| 4 | 71.482142 |
| 5 | 72.451242 |
| 6 | 73.243054 |
| 7 | 73.912522 |
| 8 | 74.492442 |
| 9 | 75.003967 |
| Ton of Refrigeration (TR) (tr) | dBm (dbm) |
|---|---|
| 10 | 75.461542 |
| 20 | 78.471842 |
| 30 | 80.232755 |
| 40 | 81.482142 |
| 50 | 82.451242 |
| 60 | 83.243054 |
| 70 | 83.912522 |
| 80 | 84.492442 |
| 90 | 85.003967 |
| 100 | 85.461542 |