U

World of Units

Convert Rankine to Newton easily.

From
To
Newton
Newton

(1 °R - 491.67 - 32) x (5÷9) * 0.33 = -95.823 °N

Ever found yourself staring at a 19th-century thermodynamics text wondering what those Newton scale measurements actually mean in modern terms? Or maybe you're an aerospace engineer needing to reconcile old data with contemporary systems. Whatever brings you here, converting between Rankine and Newton temperature scales isn't something you do every day, but when you need it, you really need it. Let's break down these two peculiar temperature measurement systems and how they intersect.

Unit definitions

What is a Rankine (°R)?

Rankine is like Fahrenheit's serious cousin who went to engineering school. Used primarily in thermodynamics and mechanical engineering within the United States, this absolute temperature scale starts at absolute zero, just like Kelvin. The freezing point of water? That's 491.67°R, while boiling hits 671.67°R. Its main benefit comes from maintaining Fahrenheit's degree intervals while aligning with absolute zero, making it useful for calculations involving temperature differentials.

What is a Newton (°N)?

No, not the scientist unit. The Newton temperature scale was actually invented by Isaac Newton himself in 1701. Quirky and historical, it sets water's freezing point at 0°N and boiling at 33°N. Each degree represents about 3.03°C change. While never widely adopted, it shows up in historical scientific documents and the occasional university physics challenge.

Conversion formula

The conversion path isn't direct. First convert Rankine to Fahrenheit (subtract 459.67), then to Celsius ((°F - 32) × 5/9), then to Newton (°C × 0.33). Combining these steps gives:

Newton (°N) = (Rankine - 523.67) × 0.1833

Example calculations

  1. 600°R to Newton
    (600 - 523.67) = 76.33
    76.33 × 0.1833 ≈ 14.0°N
  2. 450°R to Newton
    (450 - 523.67) = -73.67
    -73.67 × 0.1833 ≈ -13.5°N

Conversion tables

Rankine to Newton

Rankine (°R)Newton (°N)
400-22.6
450-13.5
500-4.3
5504.8
60014.0
65023.2
70032.3

Newton to Rankine

Newton (°N)Rankine (°R)
-30354.8
-20414.9
-10475.0
0535.1
10595.2
20655.3
30715.4

Historical background

The Rankine scale emerged in 1859 from Scottish engineer William Macquorn Rankine, who needed an absolute version of Fahrenheit for steam engine calculations. It became crucial in early American engineering, particularly for power plants and refrigeration systems.

Newton's temperature system predates even Fahrenheit and Celsius. Isaac Newton proposed it in his Scala Graduum Caloris, using linseed oil's freezing point as a reference. While impractical by modern standards, it represents one of the first attempts to systematize temperature measurement. You might say Newton was just scratching the surface of thermal physics, but his work laid groundwork for later, more practical scales.

Interesting facts

  1. Newton used linseed oil instead of water for his scale because it remained liquid over a wider temperature range.
  2. The Rankine scale remains official in some US aerospace standards, particularly for cryogenic fuel calculations.
  3. 0°R (-459.67°F) represents absolute zero, where molecular motion theoretically stops.
  4. Newton's original thermometer contained linseed oil colored with vermilion pigment for visibility.
  5. Some vintage engineering textbooks use Rankine exclusively, requiring conversion for modern SI unit users.

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