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Bernoulli's Equation: Problem Solving01:16

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A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
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When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
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An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
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Equation of Motion: General Plane motion - Problem Solving01:16

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Consider a lawn roller with a mass of 100 kg, a radius of 0.2 meters, and a radius of gyration of 0.15 meters. A force of 200 N is applied to this roller, angled at 60 degrees from the horizontal plane. What will be the angular acceleration of the lawn roller?
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Clausius-Clapeyron Equation02:35

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The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
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Chemical Equations03:10

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Chemical equations represent the identities and relative quantities of substances involved in a chemical reaction. The substances undergoing reaction are called reactants, and their formulas are placed on the left side of the equation. The substances generated by the reaction are called products, and their formulas are placed on the right side of the equation. Plus signs (+) separate individual reactant and product formulas, and an arrow (→) separates the reactant and product (left and right)...
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方程式を解決する逆設計メタストラクチャー

Nasim Mohammadi Estakhri1, Brian Edwards1, Nader Engheta2

  • 1Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA.

Science (New York, N.Y.)
|March 23, 2019
PubMed
まとめ
この要約は機械生成です。

研究者はアナログコンピューティングのためのメタマテリアルプラットフォームを開発し,波長サイズの要素を統合式で解くことができます. この波ベースのアプローチは チップスケールで高速で統合可能な コンピューティングソリューションへの道を提供します

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科学分野:

  • 物理学
  • 材料科学
  • コンピュータ工学

背景:

  • メタマテリアルは空間領域の光学アナログコンピューティングに ミニチュライゼーションの可能性を提供し, 巨大な自由空間システムを超えています.
  • 現在のアナログコンピューティング方法は,しばしば大規模または複雑な光学セットアップに依存しています.

研究 の 目的:

  • 単色電磁場を使って積分方程式を解くことができるメタマテリアルプラットフォームを導入する.
  • チップスケールのアプリケーションのための波ベースの,材料ベースのアナログコンピュータを実証する.

主な方法:

  • 単色電磁場を処理するメタマテリアルプラットフォームの設計と利用.
  • マイクロ波の周波数での一般的な積分方程式の解を,入力/出力として波導線を用いて実験的に証明する.
  • メタマテリアル内の光物質の相互作用を利用する.

主要な成果:

  • メタマテリアル・プラットフォームは 積分式を解くのに成功しました
  • 複素値の電磁場出力は,入力積分方程式の解を表します.
  • マイクロ波の周波数での実験的な検証は,プラットフォームの機能性を確認しました.

結論:

  • 開発されたメタマテリアルプラットフォームは,積分方程式を解くことでアナログ計算を可能にします.
  • このアプローチは,アナログコンピューティングを波長サイズの統合可能な要素に移行することを容易にする.
  • 波ベースの物質ベースのアナログコンピュータは,チップスケールの高速コンピューティングデバイスの開発に有望な経路を示しています.