"radius of gyration" meaning in All languages combined

See radius of gyration on Wiktionary

Noun [English]

Forms: radii of gyration [plural]
Head templates: {{en-noun|radii of gyration}} radius of gyration (plural radii of gyration)
  1. (physics, engineering) Given a body B, the distance from a given axis of rotation at which a point mass of the same mass as B would have the same moment of inertia about said axis. Wikipedia link: radius of gyration Categories (topical): Engineering, Physics Synonyms (distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia): gyradius Translations (distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia): Streumassenradius [masculine] (German), Gyrationsradius [masculine] (German), raggio d'inerzia [masculine] (Italian), raggio di girazione [masculine] (Italian), raggio di giratore [masculine] (Italian)
    Sense id: en-radius_of_gyration-en-noun-WZCEJHOt Categories (other): English entries with incorrect language header Topics: engineering, natural-sciences, physical-sciences, physics

Inflected forms

Alternative forms

Download JSON data for radius of gyration meaning in All languages combined (4.1kB)

{
  "forms": [
    {
      "form": "radii of gyration",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "radii of gyration"
      },
      "expansion": "radius of gyration (plural radii of gyration)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Engineering",
          "orig": "en:Engineering",
          "parents": [
            "Applied sciences",
            "Technology",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Physics",
          "orig": "en:Physics",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1852, [1831], Henry Kater, Dionysius Lardner, A Treatise on Mechanics, page 137",
          "text": "Since the radius of gyration depends on the manner in which the mass is arranged round the axis, it follows that for different axes in the same body there will be different radii of gyration.",
          "type": "quotation"
        },
        {
          "ref": "1989, Christine Boeffel, Hans Wolfgang Spiess, “8: NMR methods for studying molecular order and motion in liquid crystalline side group polymers”, in C. B. McArdle, editor, Side Chain Liquid Crystal Polymers, Blackie and Son, page 251",
          "text": "The radii of gyration parallel and perpendicular to the director are obtained from macroscopically aligned samples by using a two-dimensional detection method.",
          "type": "quotation"
        },
        {
          "ref": "2006, Kalliopi K. Aligizaki, Pore Structure of Cement-Based Materials, Taylor & Francis, page 270",
          "text": "As it was already mentioned earlier, the radius of gyration represents the size of a scattering object. The average radius of gyration involves the ratio of the eighth power of the radius of gyration of the individual particles R#x5F;i, to the sixth power of R#x5F;i; this means that with the broad pore size distribution of the cement paste, the average is dominated by the large pores and the small pores have virtually no impact upon the radius of gyration.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Given a body B, the distance from a given axis of rotation at which a point mass of the same mass as B would have the same moment of inertia about said axis."
      ],
      "id": "en-radius_of_gyration-en-noun-WZCEJHOt",
      "links": [
        [
          "physics",
          "physics"
        ],
        [
          "engineering",
          "engineering#Noun"
        ],
        [
          "axis of rotation",
          "axis of rotation"
        ],
        [
          "point mass",
          "point mass"
        ],
        [
          "moment of inertia",
          "moment of inertia"
        ]
      ],
      "raw_glosses": [
        "(physics, engineering) Given a body B, the distance from a given axis of rotation at which a point mass of the same mass as B would have the same moment of inertia about said axis."
      ],
      "synonyms": [
        {
          "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
          "word": "gyradius"
        }
      ],
      "topics": [
        "engineering",
        "natural-sciences",
        "physical-sciences",
        "physics"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
          "tags": [
            "masculine"
          ],
          "word": "Streumassenradius"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
          "tags": [
            "masculine"
          ],
          "word": "Gyrationsradius"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
          "tags": [
            "masculine"
          ],
          "word": "raggio d'inerzia"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
          "tags": [
            "masculine"
          ],
          "word": "raggio di girazione"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
          "tags": [
            "masculine"
          ],
          "word": "raggio di giratore"
        }
      ],
      "wikipedia": [
        "radius of gyration"
      ]
    }
  ],
  "word": "radius of gyration"
}
{
  "forms": [
    {
      "form": "radii of gyration",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "radii of gyration"
      },
      "expansion": "radius of gyration (plural radii of gyration)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "en:Engineering",
        "en:Physics"
      ],
      "examples": [
        {
          "ref": "1852, [1831], Henry Kater, Dionysius Lardner, A Treatise on Mechanics, page 137",
          "text": "Since the radius of gyration depends on the manner in which the mass is arranged round the axis, it follows that for different axes in the same body there will be different radii of gyration.",
          "type": "quotation"
        },
        {
          "ref": "1989, Christine Boeffel, Hans Wolfgang Spiess, “8: NMR methods for studying molecular order and motion in liquid crystalline side group polymers”, in C. B. McArdle, editor, Side Chain Liquid Crystal Polymers, Blackie and Son, page 251",
          "text": "The radii of gyration parallel and perpendicular to the director are obtained from macroscopically aligned samples by using a two-dimensional detection method.",
          "type": "quotation"
        },
        {
          "ref": "2006, Kalliopi K. Aligizaki, Pore Structure of Cement-Based Materials, Taylor & Francis, page 270",
          "text": "As it was already mentioned earlier, the radius of gyration represents the size of a scattering object. The average radius of gyration involves the ratio of the eighth power of the radius of gyration of the individual particles R#x5F;i, to the sixth power of R#x5F;i; this means that with the broad pore size distribution of the cement paste, the average is dominated by the large pores and the small pores have virtually no impact upon the radius of gyration.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Given a body B, the distance from a given axis of rotation at which a point mass of the same mass as B would have the same moment of inertia about said axis."
      ],
      "links": [
        [
          "physics",
          "physics"
        ],
        [
          "engineering",
          "engineering#Noun"
        ],
        [
          "axis of rotation",
          "axis of rotation"
        ],
        [
          "point mass",
          "point mass"
        ],
        [
          "moment of inertia",
          "moment of inertia"
        ]
      ],
      "raw_glosses": [
        "(physics, engineering) Given a body B, the distance from a given axis of rotation at which a point mass of the same mass as B would have the same moment of inertia about said axis."
      ],
      "topics": [
        "engineering",
        "natural-sciences",
        "physical-sciences",
        "physics"
      ],
      "wikipedia": [
        "radius of gyration"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
      "word": "gyradius"
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
      "tags": [
        "masculine"
      ],
      "word": "Streumassenradius"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
      "tags": [
        "masculine"
      ],
      "word": "Gyrationsradius"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
      "tags": [
        "masculine"
      ],
      "word": "raggio d'inerzia"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
      "tags": [
        "masculine"
      ],
      "word": "raggio di girazione"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "distance from a given axis at which a point mass of the same mass as a given body would have the same moment of inertia",
      "tags": [
        "masculine"
      ],
      "word": "raggio di giratore"
    }
  ],
  "word": "radius of gyration"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-16 from the enwiktionary dump dated 2024-05-02 using wiktextract (e268c0e and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.