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Related Concept Videos

Conservation of Energy: Application01:12

Conservation of Energy: Application

When solving problems using the energy conservation law, the object (system) to be studied should first be identified. Often, in applications of energy conservation, we study more than one body at the same time. Second, identify all forces acting on the object and determine whether each force doing work is conservative. If a non-conservative force (e.g., friction) is doing work, then mechanical energy is not conserved. The system must then be analyzed with non-conservative work. Third, for...
Conservation of Energy00:54

Conservation of Energy

The terms 'conserved quantity' and 'conservation law' have specific scientific meanings in physics, which differ from the meanings associated with their everyday use. For example, in everyday usage, water could be conserved by not using it, by using less of it, or by re-using it. However, in scientific terms, a conserved quantity of a system stays constant, changes by a definite amount that is transferred to other systems, and is converted into other forms of that quantity. In the scientific...
Energy Conservation and Bernoulli's Equation01:16

Energy Conservation and Bernoulli's Equation

Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
Conservation of Mechanical Energy01:05

Conservation of Mechanical Energy

The mechanical energy E of a system is the sum of its potential energy U and the kinetic energy K of the objects within it. What happens to this mechanical energy when only conservative forces cause energy transfers within the system—that is, when frictional and drag forces do not act on the objects in the system? Also assume that the system is isolated from its environment; in other words no external force from an object outside the system causes energy changes inside the system.
When a...
Conservation of Energy in Control Volume01:14

Conservation of Energy in Control Volume

Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
Energy Diagrams - II01:10

Energy Diagrams - II

Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...

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Related Experiment Video

Updated: Jun 6, 2026

X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells
10:16

X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells

Published on: August 20, 2019

Mode filters and energy conservation.

Ilya A Udovydchenkov1, Irina I Rypina, Michael G Brown

  • 1Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA.

The Journal of the Acoustical Society of America
|December 2, 2010
PubMed
Summary

Mode filtering, a linear inverse problem, faces resolution-precision trade-offs. Satisfying energy conservation is crucial for accurate mode filtering solutions, unlike typical inverse problems.

Area of Science:

  • Signal processing
  • Inverse problems

Background:

  • Mode filtering is essential for analyzing discrete data.
  • Linear inverse problems typically involve a trade-off between resolution and precision.

Purpose of the Study:

  • To highlight the significance of the energy conservation constraint in discrete mode filtering.
  • To emphasize the impact of adhering to this constraint on solution accuracy.

Main Methods:

  • Consideration of the discrete mode filtering problem.
  • Formulation of the problem as a linear inverse problem.

Main Results:

  • Solutions are subject to the inherent resolution-precision trade-off.
  • The mode filtering problem has a unique energy conservation constraint.

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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

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Last Updated: Jun 6, 2026

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Published on: August 20, 2019

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Conclusions:

  • Approximately satisfying the energy conservation constraint is vital for effective mode filtering.
  • Ignoring this constraint can compromise the integrity of mode filtering results.