Author: Tru Physics

  • Bernoulli’s Equation

    Bernoulli’s equation is a fundamental principle in fluid mechanics that describes the behavior of a fluid as it moves through a pipe or over an obstacle. It is named after the Swiss mathematician Daniel Bernoulli who developed the equation in the 18th century. Bernoulli’s equation is widely used in engineering applications, including in the design…

  • Quadratic Formula

    The quadratic formula gives the solution to a quadratic equation and is written as: where specifies that this equation gives two solutions. One solution, , uses the plus sign in the numerator. The other solution, , uses the negative sign. As a quadratic equation, two solutions are required. This can be two real numbers. However,…

  • Quadratic Equation

    Quadratic equations are extremely common in physics as many real-world phenomena follow this form. A quadratic equation is one which follows the form: where , , and are real numbers. Most importantly, cannot equal zero or else the equation would be linear. There is no such restriction on and . The solution can be found…

  • Atomic Structure

    Atomic structure describes the arrangement of subatomic particles within an atom. Understanding atomic structure is essential for comprehending the behavior of atoms, their chemical properties, and their interactions with other atoms. The following figure was created using the hydrogen-cloud Python script. Please see the caption for Copyright and licensing information. Basic Atomic Structure Atoms are…

  • Archimedes’ Principle

    Archimedes’ Principle is an essential concept in fluid mechanics that relates to the buoyant force acting on a submerged object in a fluid. It was first formulated by the ancient Greek mathematician and physicist Archimedes in the 3rd century BCE. Basic Concept and Statement of Archimedes’ Principle Archimedes’ Principle states that an object submerged in…

  • Angular Momentum

    Angular momentum describes the rotational motion of objects. It plays a crucial role in understanding the behavior of spinning objects and the conservation laws that govern their interactions. Note: If you’re trying to calculate angular momentum, check out our angular momentum calculators! Definition and Basic Properties Angular momentum, denoted by , is a vector quantity…

  • Schrödinger Equation

    The Schrödinger equation is a foundational equation in quantum mechanics that describes the evolution of quantum states over time. It was formulated by Erwin Schrödinger in 1926 and provides a mathematical framework for understanding the wave-like behavior of particles at the quantum level. The equation plays a crucial role in determining the behavior and properties…

  • Chapter 14: Work

    14.1 Introduction to Work Work describes the transfer of energy to or from an object when a force is applied over a distance. It is a scalar quantity (not a vector) and is measured in units of joules (J). Understanding the concept of work and its relationship to energy is crucial for analyzing various physical…

  • Chapter 13: Friction

    13.1 Introduction to Friction Friction is a fundamental concept in the field of physics that deals with the resistance encountered by two surfaces when they move relative to each other. It plays an essential role in various aspects of our everyday lives, from walking to driving a car. Understanding the nature of friction and its…

  • Chapter 12: Uniform Circular Motion

    12.1 Introduction to Uniform Circular Motion (UCM) Uniform circular motion describes the movement of an object traveling in a circular path with a constant speed. Although the speed remains constant, the object experiences acceleration due to the continuous change in its direction. This page will explore the basics of uniform circular motion. 12.2 Defining Uniform…