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

Venturi Meter

A Venturi meter has two entrances at each end, along with a nozzle. Fluid passes through the nozzle, typically made from a single casting. Key components include:

• An upstream section with the same diameter as the pipe, fitted with a brass ring containing piezometric openings to measure static pressure.
• A converging tapered section leading to a cylindrical throat, also equipped with a brass piezometer ring.
• A diverging conical section that gradually expands back to the original pipe diameter. Piezometer rings connect to a differential manometer at each end.

Venturi meter size is specified by the pipe diameter and throat diameter (e.g., a 6"x4" Venturi fits a 6" pipe and has a 4" throat).

For accurate measurements, the Venturi meter... Continue reading "Fluid Flow Measurement: Venturi, Orifice & Pitot Tube" »

Volume, Mass, and Density

Measuring Volume

Volume is measured in three dimensions: length, width, and height. Different methods are used for different states of matter:

• Liquids: Pour the liquid into a burette and read the measurement.
• Solids:
  • Regular shapes: length x width x height
  • Irregular shapes: Use the immersion method. Fill a burette halfway and carefully submerge the solid. The difference in water levels represents the volume of the solid.
• Gases: Fill a test tube completely with water. Invert the test tube into a water-filled container. Introduce the gas into the inverted test tube. The volume of gas collected displaces an equal volume of water, which can be measured.

Factors Affecting Volume

• Temperature: Volume increases with increasing temperature

Thermodynamics Fundamentals

Heat

Energy transferred from one body to another due to a temperature difference. Heat is energy in transit or motion.

Work and Calories

Different units for measuring energy transfer between two bodies.

Temperature

A measure of the average kinetic energy of the particles that constitute a body.

Internal Energy

The sum of the kinetic and potential energies of all the particles that make up a body.

Thermometric Scales

Relationships between different temperature scales include: T(°C)/100 = (T(°F) - 32)/180, and T(K) = T(°C) + 273.15.

Thermal Equilibrium

Two bodies are in thermal equilibrium when they are at the same temperature.

Mechanical Equivalent of Heat

The relationship between Joules (J) and calories (cal): 1 cal ≈ 4.18

Capacitor Function

A power capacitor stores electrical charge (electrons on one plate and ions on the other). Once charged, it maintains voltage due to electrostatic attraction. In DC circuits, it filters signals. In AC circuits, it charges and discharges in each half-cycle, delaying voltage relative to current, correcting the power factor.

Working Voltage and Breakdown

Working voltage is the maximum voltage a capacitor can withstand without dielectric damage. Breakdown voltage is the maximum voltage the dielectric can handle before failure.

Capacitor Types

• Plastic: Heavy-duty, up to 1000V, from several microfarads (µF).
• Ceramic: From picofarads (pF) to 100 nanofarads (nF), low voltage.
• Electrolytic: Polarized, high capacitance for small size (1

Scalar Product of Vectors

The scalar product of two vectors is the number obtained by multiplying the product of their magnitudes by the cosine of the angle between them. It is represented by a dot (·) and is calculated using the formula: a · b = |a| |b| cos(α).

Condition of Perpendicularity

Two vectors are perpendicular if their scalar product is zero: a ⊥ b ↔ a · b = 0.

Angle Between Vectors

The cosine of the angle between two vectors is given by: cos(α) = (a · b) / (|a| |b|).

Vector Product of Vectors

Magnitude

The magnitude of the vector product is calculated as: |a x b| = |a| |b| sin(α).

Direction

The direction is perpendicular to the plane formed by vectors a and b.

Sense

The sense is determined by applying the right-hand rule.

Kinematics:

Risks Linked to Security Conditions

The following are common risks associated with security conditions in the workplace:

• Falls of persons, both at the same level and different levels.
• Clashes with mobile and immobile objects.
• Entrapments, cuts, and projections of particles.

Preventive Measures for Security Conditions

To avoid these risks, the following measures should be implemented:

• Premises must have a minimum height of 3 meters, and offices should have a minimum height of 2.5 meters.
• Each worker must have a working space of at least 2 square meters of surface area and 10 cubic meters of volume.
• Main corridors should have a minimum width of 1.20 meters, and side corridors should have a minimum width of 1 meter.
• Passage areas and workplaces must be

Physics Formulas

Speed

V: Average velocity

• V = s / t
• s: Distance traveled
• s = v · t
• t: Time spent
• t = s / v
• Minutes to hours = min / 60

SI units:

• Speed is the distance traveled by a mobile unit per unit of time.
• m / s
• km / h
• cm / s

Acceleration

a: Acceleration

• a = V_f - V₀ / t
• V_f: Final velocity
• V_f = V₀ + a · t
• V₀: Initial velocity
• V₀ = V_f - a · t
• t: Time

SI units:

• Acceleration is the change in speed per unit of time.
• m / s²

Forces

F: Force in newtons

• F = m · a
• m: Mass in kg
• a: Acceleration in m / s²

SI units:

• Force is a physical quantity associated with movement.
• Newton (N)
• Kilogram-force (kgf)
• Pound (lb)
• Dyne (dyn)

Forces in the same direction:

• F_R = F₁ + F₂

Forces in opposite directions:

• F_R = F₁ - F₂

Mass

m: Mass in kg

• m = F / a
• F: Force in newtons
• a: Acceleration in m / s²

SI units:

San Pietro in Montorio, Bramante, 1502

Religious Architecture, Cinquecento, Rome

Introduction: This is an early work of Bramante in Rome. It is a chapel, built between 1502-1503, located in a small courtyard. According to tradition, Saint Peter was crucified on this site. It is a model of a religious building with a central plan, inspired by the Hellenistic *monopteros* temples, and its elevation recalls the Temple of the Sibyl at Tivoli.

Analysis and Features: It is considered the aesthetic ideal of the Renaissance in the 16th century. This architectural ideal is achieved by using:

• A monumental and grandiose architectural language, achieved through a rigorous study of the proportions of each part of the building.
• The creation of a complete architectural

Modern Physics

This branch of physics considers the theory of relativity and quantum theory in describing microscopic systems like atoms.

Model of Modern Physics

In the late nineteenth century, it was a common belief that all phenomena of nature could be described by Newton's laws, principles of thermodynamics, and the laws of electromagnetism, which were based on a mechanical conception of the universe.

Reaffirmation of Modern Physics

In 1905, Albert Einstein produced a series of works that revolutionized physics, mainly due to the wave-particle duality of light and the theory of relativity, among others.

Classification of Modern Physics

It is generally known to study phenomena that occur at the speed of light or values close to it, or whose spatial... Continue reading "Modern Physics: Relativity, Quantum Mechanics, and Nuclear Processes" »