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2次元極座標系における速度と加速度 2018/1/31 Learning , Mathematics


座標系における座標と 座標系における座標の関係は次のよう書ける.


上式を時間 で微分することで 方向の速度が得られる.


上式をさらに時間 で微分することで 方向の加速度が得られる.


法線方向の速度を , 接線方向の速度を とする.

, を用いてこれらの速度を表現すると下図のようになる.

以上より, , は以下のように表わせる.


法線方向の加速度を , 接線方向の加速度を とする.

, とこれら加速度の間には速度の場合と同じ関係が成立する.

したがって,, は,以下のように表わせる.





  • 七つの海の名無しさん より:
    1月 31st, 2018 03:53


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