Notes, summaries, assignments, exams, and problems for Physics

Fundamental Concepts in Fluid Mechanics

Pressure and Phase Changes

• Evaporation: The constant movement of molecules on the surface of a liquid, allowing them to escape into the atmosphere.
• Boiling: Occurs when the pressure to which a liquid is subjected equals its vapor pressure.
• Vapor Pressure: The partial pressure exerted by molecules in the gaseous state within a container when occupying a space above a liquid.
• Saturation Pressure: The state where there is a dynamic balance between the number of molecules that evaporate and condense.
• Cavitation: A phenomenon where, if the local pressure (p) in a liquid drops to or below its vapor pressure, the liquid rapidly evaporates, forming vapor bubbles. These bubbles then move and collapse violently within

... Continue reading "Fluid Mechanics Essentials: Pressure, Viscosity, and Hydrostatic Principles" »

Earth's Gravitational Field

The gravitational field of the Earth is the disturbance that occurs in the space surrounding a body having mass. The intensity of the gravitational field at a point in space is the force with which the Earth attracts a unit mass located at that point. The weight of a body is the force with which the Earth attracts it. The gravitational potential energy of a mass m at a point in Earth's gravitational field is the work performed by the gravitational field to move the mass m from that point to infinity. The gravitational potential at a point in Earth's gravitational field is the work performed by the gravitational field to move the unit mass from that point to infinity.

• Period of revolution: Time it takes a satellite

... Continue reading "Earth's Gravitational Field and Kepler's Laws of Planetary Motion" »

Fundamental Concepts in Geodesy and Measurement

The following definitions cover essential terminology related to Earth's geometry, measurement techniques, and coordinate systems.

Magnetic Poles

Defined as the points on the surface of the Earth where the magnetic field lines are perpendicular to the surface.

Geographic Poles

Defined as the points on the Earth's surface that intersect with the planet's axis of rotation.

Bounded System (Orthogonal Cylindrical Projection)

A system of orthogonal cylindrical projection is the most appropriate for the representation of land and figures whose vertical dimensions are much smaller than their horizontal dimensions. The height of a point ($q$) is measured relative to a reference plane and can be positive (... Continue reading "Essential Definitions in Geodesy and Land Surveying" »

Center of Buoyancy

The center of buoyancy is the center of gravity of the volume of water displaced by a float for a given condition. Also known as the center of thrust, as it is, for the purpose of stability, which regards the force applied. It is represented by the letter C and in some publications with the letter B to equate the "Center of Buoyancy" of English.

Since the ship moves in waves, the position of the center of buoyancy is variable and depends on the hull shape and volume submerged at that time. The curve in the transverse plane that describes the center of buoyancy for different angles of rocking is called the curve, and its center of buoyancy ray radii.

Transverse Metacentric

Since by definition the metacenter is in the vertical... Continue reading "Understanding Ship Stability and Maritime Forces" »

Sound Perception: The Subjective Factor

Sound perception is the subjective factor that involves physiological and psychological processes occurring in the ear and brain. It allows us to classify sounds as weak, strong, pleasant, or unpleasant. This perception depends not only on the sound's intensity but also on its frequency.

Sound Reflection

Sound reflection is a phenomenon where sound waves bounce off a surface and propagate in a different direction. This principle is utilized in various applications, such as in satellite dishes to focus signals.

Echo

An echo is a distinct phenomenon caused by the reflection of sound. We can distinguish an echo from the original sound if the reflected sound arrives with a time difference of at least 0.1 seconds.... Continue reading "Understanding Sound Phenomena: Perception, Reflection, and Waves" »

Concepts and Electromagnetic Phenomena

Magnetic Field Definition

Magnetic Field: The area which shows the effects of magnetic poles is said to have a magnetic field. A magnetic field is represented by lines of force.

Magnetism: Lines of force of a magnetic field created by a permanent magnet.

Magnets

• Magnets attract or repel each other, similar to electric charges.

Magnetic Magnitudes

Magnetic Flux Density (B): The number of magnetic field lines that cross the unit area (m²).

• Magnetic Flux (Φ)
• Magnetic Field Strength (H)

Electromagnetism

Electromagnetism involves the creation of a magnetic field through an electric current, or the creation of an electrical current in the presence of a magnetic field.

Biot-Savart Law

An electrical charge (q), which moves... Continue reading "Fundamental Concepts of Magnetism and Electromagnetism" »

1. What is an Electrical Accident?

An electrical accident is a process in which a person receives electrical energy, either directly or indirectly. This can range from simple electromagnetic radiation to situations where the victim becomes electrically coupled to the network.

2. Definition of Electrical Contact

Electrical contact refers to the probability of a human body being subjected to a potential difference, resulting in an electric shock due to the passage of current through it.

3. Physiological Effects of Electrical Current Above 5A

When an electrical current exceeding 5A passes through the human body, the following physiological phenomena may occur:

• Less than one cardiac cycle: Ventricular fibrillation, early electrocution (depending on the

... Continue reading "Electrical Accidents: Understanding the Risks and Safety" »

interest of the Fourier transform
• Electronics
• Signal Theory
• Telecommunications
• Optics
• Acoustics
• Radar
• Image processing
convolution product of discrete FFT (Fast FourierTransform) => time ? N log N
-Needed a FFTper each of the two images on which you must do the convolution product. And antitransformadaa the acabarde make the product. In total, we need 3 Fast Fourier transform.
• Image Space => time NN ?
space filtering of specific frequencies freqüè preferences eliminacióde
• Periodic measurement of elements
• We will say that two vectors, orthogonal vectors are orthogonal if their inner product is zero: (u, v) = 0
• The domestic product, in this case is defined as
?Uv = 0
domestic

... Continue reading "Fourier Transform Applications and Vector Orthogonality" »

Fundamentals of Topography

Definition of Topography

Set of methods and tools necessary to represent the ground with all its natural and artificial details.

Topographic Survey

Set of methods, measurements, and representation of any part of the earth's surface at a given level in the form of a plan or map. This part of the survey is called planimetric survey (X, y). Since the surface of the earth is three-dimensional, topographic survey also includes leveling, which is to determine the gaps between the various points of the surface represented in the plane.

Layout

Operations needed to correctly place any field project and control it during the construction process.

Units Used in Topography

• Length: Meter
• Surface: m² or Ha (10,000 m²)
• Angle: Grads

Geodesy

... Continue reading "Fundamentals of Topography and Geodesy" »

The Nature of Light

The question regarding the nature of light has been a problem from antiquity until the 20th century. During this period, two theories were developed: the corpuscular theory, which considered that light is composed of particles or corpuscles, and the wave theory, which defended that light behaves like a wave. Both theories were valid as they explained the phenomena of reflection and refraction. However, the wave theory could also explain oscillatory phenomena such as interference and diffraction, as well as why the speed of light is greater in less dense media. Additionally, the development of Maxwell's electromagnetism in the 19th century stated that the wave theory was correct and that light was an electromagnetic wave.

In... Continue reading "Physics of Light: Wave-Particle Duality and Optics" »