"moment of inertia" meaning in 英語

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  "derived": [
    {
      "word": "polar moment of inertia"
    },
    {
      "word": "torsion"
    }
  ],
  "forms": [
    {
      "form": "moments of inertia",
      "tags": [
        "plural"
      ]
    }
  ],
  "lang": "英語",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "moment"
    },
    {
      "word": "moment of force"
    }
  ],
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      ],
      "examples": [
        {
          "text": "The moment of inertia of a rigid body is a quantity that determines the torque needed for a given angular acceleration about a given rotational axis, analogous to how mass determines the force needed for a given acceleration."
        },
        {
          "ref": "1882, Edward John Routh, The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies, 4th版, MacMillan & Co.，第 10 頁:",
          "text": "The moments of inertia of a heterogeneous body whose boundary is a surface of uniform density may sometimes be found by the method of differentiation."
        },
        {
          "ref": "1884, Benjamin Williamson, An Elementary Treatise on the Integral Calculus, 4th版, Appleton and Company，第 292 頁:",
          "text": "Consequently, the moment of inertia of a body relative to any axis can be found when that for the parallel axis through its centre of gravity is known."
        }
      ],
      "glosses": [
        "轉動慣量"
      ],
      "id": "zh-moment_of_inertia-en-noun-p0iBs9n8",
      "raw_tags": [
        "古典力學"
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      "topics": [
        "physics"
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        {
          "ref": "2007, Robert L. Mott, Applied Strength of Materials, 5th版, Taylor & Francis (CRC Press)，第 323 頁:",
          "text": "Stresses due to vertical shearing forces also depend on moment of inertia and are discussed in Chapter 8.\nSome mathematicians and stress analysts use the term second moment of area instead of moment of inertia. That term is, in fact, more descriptive of the definition of this property in the following discussion."
        }
      ],
      "glosses": [
        "截面二次轴矩"
      ],
      "id": "zh-moment_of_inertia-en-noun-GiyzrjgR",
      "raw_tags": [
        "structural engineering"
      ],
      "topics": [
        "engineering"
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    }
  ],
  "synonyms": [
    {
      "sense": "轉動慣量",
      "word": "mass moment of inertia"
    },
    {
      "sense": "轉動慣量",
      "word": "angular mass"
    },
    {
      "sense": "轉動慣量",
      "word": "rotational inertia"
    },
    {
      "sense": "截面二次軸矩",
      "word": "area moment of inertia"
    },
    {
      "sense": "截面二次軸矩",
      "word": "second area moment"
    },
    {
      "sense": "截面二次軸矩",
      "word": "second moment of area"
    },
    {
      "sense": "截面二次軸矩",
      "word": "second moment of inertia"
    }
  ],
  "word": "moment of inertia"
}

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  "derived": [
    {
      "word": "polar moment of inertia"
    },
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      "word": "torsion"
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  "forms": [
    {
      "form": "moments of inertia",
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        "plural"
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  "lang": "英語",
  "lang_code": "en",
  "pos": "noun",
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      "word": "moment"
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      "word": "moment of force"
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      ],
      "examples": [
        {
          "text": "The moment of inertia of a rigid body is a quantity that determines the torque needed for a given angular acceleration about a given rotational axis, analogous to how mass determines the force needed for a given acceleration."
        },
        {
          "ref": "1882, Edward John Routh, The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies, 4th版, MacMillan & Co.，第 10 頁:",
          "text": "The moments of inertia of a heterogeneous body whose boundary is a surface of uniform density may sometimes be found by the method of differentiation."
        },
        {
          "ref": "1884, Benjamin Williamson, An Elementary Treatise on the Integral Calculus, 4th版, Appleton and Company，第 292 頁:",
          "text": "Consequently, the moment of inertia of a body relative to any axis can be found when that for the parallel axis through its centre of gravity is known."
        }
      ],
      "glosses": [
        "轉動慣量"
      ],
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        {
          "ref": "2007, Robert L. Mott, Applied Strength of Materials, 5th版, Taylor & Francis (CRC Press)，第 323 頁:",
          "text": "Stresses due to vertical shearing forces also depend on moment of inertia and are discussed in Chapter 8.\nSome mathematicians and stress analysts use the term second moment of area instead of moment of inertia. That term is, in fact, more descriptive of the definition of this property in the following discussion."
        }
      ],
      "glosses": [
        "截面二次轴矩"
      ],
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        "structural engineering"
      ],
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  ],
  "synonyms": [
    {
      "sense": "轉動慣量",
      "word": "mass moment of inertia"
    },
    {
      "sense": "轉動慣量",
      "word": "angular mass"
    },
    {
      "sense": "轉動慣量",
      "word": "rotational inertia"
    },
    {
      "sense": "截面二次軸矩",
      "word": "area moment of inertia"
    },
    {
      "sense": "截面二次軸矩",
      "word": "second area moment"
    },
    {
      "sense": "截面二次軸矩",
      "word": "second moment of area"
    },
    {
      "sense": "截面二次軸矩",
      "word": "second moment of inertia"
    }
  ],
  "word": "moment of inertia"
}