# Newton to Réaumur (°N to °Ré) Source: https://www.unitconvertercalculator.com/temperature/newton-scale-to-reaumur/ To convert Newton to Reaumur, use the formula: Re = N x 80/33. The Newton scale is Isaac Newton's rarely-used temperature scale, while the Reaumur scale is the historical European scale once standard in France and Germany. Water freezes at 0 degrees N (0 Re) and boils at 33 degrees N (80 Re). ## Formula °N via Kelvin to °Ré ## Conversion Table | Newton (°N) | Réaumur (°Ré) | |---|---| | 0 °N | 0 °Ré | | 1 °N | 2.42424242424 °Ré | | 2 °N | 4.848484848488 °Ré | | 3 °N | 7.272727272728 °Ré | | 5 °N | 12.121212121216 °Ré | | 7 °N | 16.969696969696 °Ré | | 10 °N | 24.242424242424 °Ré | | 12 °N | 29.090909090912 °Ré | | 15 °N | 36.36363636364 °Ré | | 20 °N | 48.484848484848 °Ré | | 25 °N | 60.606060606064 °Ré | | 30 °N | 72.727272727272 °Ré | | 33 °N | 80 °Ré | | 50 °N | 121.21212121212 °Ré | | 100 °N | 242.42424242424 °Ré | ## Units ### Newton (°N) A temperature scale devised by Isaac Newton around 1700. Water freezes at 0 °N and boils at 33 °N. Not to be confused with the newton unit of force. ### Réaumur (°Ré) A historical temperature scale where water freezes at 0 °Ré and boils at 80 °Ré. Named after René Antoine Ferchault de Réaumur. Once widely used in Europe. ## Background The Newton scale was created by Isaac Newton, around 1700, barely adopted beyond his laboratory. The Reaumur scale was created by Rene Antoine Ferchault de Reaumur, 1730, once widespread in continental Europe. Converting between them bridges different eras and different measurement philosophies in the history of thermometry. ## Good to Know The history of temperature measurement is the history of scientific collaboration and competition across borders. The Newton scale (barely adopted beyond his laboratory) and the Reaumur scale (once widespread in continental Europe) represent different national contributions to solving the same fundamental problem: how to assign numbers to the sensation of hot and cold. ## FAQ ### How do you convert Newton to Reaumur? Use the formula Re = N x 80/33. At the freezing point of water: 0 N = 0 Re. At the boiling point: 33 N = 80 Re. ### When would you need to convert Newton to Reaumur? This conversion is needed when interpreting historical scientific records, comparing temperature data across different measurement traditions, or completing engineering calculations that mix temperature scales from different national standards. ### What are the key reference points for both scales? Water freezes at 0 N = 0 Re. Water boils at 33 N = 80 Re. These two fixed points anchor both scales and provide easy verification of any conversion calculation. ## Non-Frequently Asked Questions ### Are Newton and Reaumur the two most forgotten temperature scales at the same dinner party? If obsolete temperature scales had a reunion dinner, Newton and Reaumur would sit at the same table as the ones who almost made it. Reaumur had a century of European use; Newton barely had a decade of personal use. Both were outcompeted by Celsius, who took the best features of each (water reference points, simple numbers) and built the winning scale. ### Is there a mathematical elegance to converting Newton's 33 to Reaumur's 80? The factor 80/33 (approximately 2.424) has no special mathematical significance. It is simply the ratio of two arbitrary boiling-point numbers chosen by two scientists who never coordinated. If Newton had chosen 40 and Reaumur had chosen 80, the factor would be a clean 2. Close, but the universe does not optimize for tidy conversion factors. ### Would a science museum exhibit on forgotten temperature scales draw visitors? A well-designed exhibit showing Newton, Reaumur, Delisle, and Romer scales alongside surviving thermometers from each tradition could be genuinely fascinating. 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