Rankine to Newton Converter

How to Convert Rankine to Newton

To convert a temperature from rankine to newton, use the following formula:

This formula accounts for both the different degree sizes and the different zero points of the Rankine and Newton temperature scales.

What Is Rankine?

Rankine (symbol: °R) is an absolute temperature scale named after Scottish-Irish physicist William John Macquorn Rankine, who proposed it in 1859. Like the kelvin scale, the Rankine scale starts at absolute zero, but it uses Fahrenheit-sized degrees instead of Celsius-sized degrees. The relationship is straightforward: °R = °F + 459.67, just as K = °C + 273.15. One Rankine degree is the same size as one Fahrenheit degree, so a temperature change of 1 °R equals a temperature change of 1 °F. The Rankine scale is used in some engineering applications in the United States, particularly in thermodynamics and heat transfer calculations where absolute temperatures are needed but Fahrenheit is the preferred scale. The Rankine cycle, which describes the ideal operation of steam power plants, is named after the same William Rankine. Key reference temperatures: absolute zero is 0 °R, water freezes at 491.67 °R (32 °F), normal human body temperature is about 558.27 °R (98.6 °F), and water boils at 671.67 °R (212 °F). The Rankine scale relates to the kelvin scale by a factor of 9/5: °R = K × 9/5, or K = °R × 5/9.

Key rankine equivalences:

• 0 °R = −459.67 °F = 0 K (absolute zero)
• 491.67 °R = 32 °F = 0 °C (water freezing)
• 671.67 °R = 212 °F = 100 °C (water boiling)
• 558.27 °R = 98.6 °F = 37 °C (body temperature)
• 1 °R change = 1 °F change = 5/9 K change

What Is Newton?

The Newton scale (symbol: °N) is a temperature scale devised by Sir Isaac Newton around 1701. It is one of the earliest attempts to create a quantitative temperature scale, predating both the Fahrenheit and Celsius scales. Newton defined his scale based on two reference points: the freezing point of water at 0 °N and the boiling point of water at 33 °N. This means the Newton scale divides the range between freezing and boiling water into 33 equal parts, as opposed to 100 for Celsius and 180 for Fahrenheit. The conversion between Celsius and Newton is: °N = °C × 33/100. So 0 °C = 0 °N, 100 °C = 33 °N, and 37 °C (body temperature) ≈ 12.21 °N. Newton described his scale in the anonymous paper “Scala graduum Caloris” (Scale of the Degrees of Heat), published in the Philosophical Transactions of the Royal Society in 1701. He used linseed oil as his thermometric substance rather than mercury. Today, the Newton temperature scale is entirely obsolete and is only encountered in the history of science, physics education, and temperature conversion exercises. It should not be confused with the newton (N), which is the SI unit of force.

Key newton equivalences:

• 0 °N = 0 °C = 32 °F (freezing point of water)
• 33 °N = 100 °C = 212 °F (boiling point of water)
• 12.21 °N = 37 °C = 98.6 °F (body temperature)
• −90.14 °N = −273.15 °C = 0 K (absolute zero)
• 1 °N change = 100/33 °C change ≈ 3.03 °C change

Understanding Temperature Scales

Temperature is a fundamental physical quantity that measures the average kinetic energy of the particles in a substance. Different temperature scales were developed at different times in history, each with its own reference points and degree sizes.

Unlike most other unit conversions (length, mass, etc.) which involve simple multiplication, temperature conversions require both multiplication/division AND addition/subtraction because temperature scales have different zero points.

The Six Temperature Scales

• Celsius (°C): Defined by the freezing (0 °C) and boiling (100 °C) points of water. The most widely used scale worldwide for everyday and scientific purposes.
• Fahrenheit (°F): Defined with water freezing at 32 °F and boiling at 212 °F (180 degrees apart). Primarily used in the United States.
• Kelvin (K): The SI absolute temperature scale. Zero kelvin (0 K = −273.15 °C) is absolute zero. Uses Celsius-sized degrees. Standard in science.
• Rankine (°R): An absolute temperature scale using Fahrenheit-sized degrees. 0 °R = 0 K = −459.67 °F. Used in some US engineering applications.
• Delisle (°De): A historical inverted scale where higher values mean colder temperatures. Water boils at 0 °De and freezes at 150 °De. Invented by Joseph-Nicolas Delisle in 1732.
• Newton (°N): A historical scale devised by Isaac Newton around 1701. Water freezes at 0 °N and boils at 33 °N. Proportional to Celsius (°N = °C × 33/100).

Key Reference Temperatures

• Absolute zero: 0 K = −273.15 °C = −459.67 °F = 0 °R. The lowest possible temperature.
• Water freezing: 273.15 K = 0 °C = 32 °F = 491.67 °R = 150 °De = 0 °N
• Human body: 310.15 K = 37 °C = 98.6 °F = 558.27 °R = 94.5 °De = 12.21 °N
• Water boiling: 373.15 K = 100 °C = 212 °F = 671.67 °R = 0 °De = 33 °N
• Scales intersect: −40 °C = −40 °F (the only point where Celsius and Fahrenheit are equal)

Why Temperature Conversion Is Different

Most unit conversions (metres to feet, grams to ounces) involve multiplying by a single conversion factor. Temperature is different because the scales have different zero points. Converting between Celsius and Fahrenheit, for example, requires both multiplication (to account for different degree sizes: 180 °F vs 100 °C) and addition (to account for the offset: 32 °F = 0 °C).

The exceptions are the purely proportional pairs: Celsius–Newton (°N = °C × 33/100) and Kelvin–Rankine (°R = K × 9/5), where the zero points are the same (0 °C = 0 °N, 0 K = 0 °R).

Tips for Temperature Conversions

• The quick Celsius ↔ Fahrenheit estimate: double the Celsius value and add 30. For example, 20 °C ≈ 2 × 20 + 30 = 70 °F (actual: 68 °F). Good enough for everyday use.
• Remember the key points: 0 °C = 32 °F (freezing), 100 °C = 212 °F (boiling), 37 °C = 98.6 °F (body temp), −40 °C = −40 °F.
• For Celsius to Kelvin, simply add 273.15. For Fahrenheit to Rankine, add 459.67. These are the easiest temperature conversions.
• Kelvin and Rankine are “absolute” scales starting at absolute zero. They cannot have negative values for physically meaningful temperatures.
• The Delisle scale runs backwards: higher numbers mean colder. 0 °De is hot (boiling water), 150 °De is cold (freezing water).
• The Newton temperature scale (°N) should not be confused with the newton (N), which is the SI unit of force. Context makes the distinction clear.
• Temperature differences convert differently from absolute temperatures. A change of 1 °C = 1 K = 1.8 °F = 1.8 °R. But an absolute temperature of 1 °C ≠ 1.8 °F.
• In scientific contexts, always use kelvin for thermodynamic calculations (gas laws, radiation, entropy). Celsius is acceptable for temperature differences and everyday science.

Rankine to Newton Conversion Table

The following table shows conversions from rankine to newton.

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