Ton of Refrigeration (TR) to dBW Converter
Power · unit-converter
Convert Ton of Refrigeration (TR) 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: Ton of Refrigeration (TR) (tr)
To: dBW (dbw)
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 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 tons of refrigeration (tr) 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 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 dbw
10 tr → 45.461542 dbw
Example #2: Convert 30 tr to dbw
30 tr → 50.232755 dbw
Summary
To convert Ton of Refrigeration (TR) to dBW, multiply by watts per tr, then apply dBW: dBW = 10 × log₁₀(P_W), 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 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
| Ton of Refrigeration (TR) (tr) | dBW (dbw) |
|---|---|
| 0.1 | 25.461542 |
| 1 | 35.461542 |
| 2 | 38.471842 |
| 3 | 40.232755 |
| 4 | 41.482142 |
| 5 | 42.451242 |
| 6 | 43.243054 |
| 7 | 43.912522 |
| 8 | 44.492442 |
| 9 | 45.003967 |
| Ton of Refrigeration (TR) (tr) | dBW (dbw) |
|---|---|
| 10 | 45.461542 |
| 20 | 48.471842 |
| 30 | 50.232755 |
| 40 | 51.482142 |
| 50 | 52.451242 |
| 60 | 53.243054 |
| 70 | 53.912522 |
| 80 | 54.492442 |
| 90 | 55.003967 |
| 100 | 55.461542 |