Clarification of, and more thoughts on, the Bernoulli's equation example problem where liquid exits a hole in a container. Created by Sal Khan.

The People's Physics Book v3 is intended to be used as one small part of a multifaceted strategy to teach physics conceptually and mathematically

This is a quiz designed to accompany the online simulation "Under Pressure," which is part of the PhET Interactive Simulations of the University of Colorado Boulder.The quiz was designed for Canvas. Each question includes instructions for an action the student is to complete in the online simulation, followed by a multiple choice question. 

Sal explains the difference between liquids and gasses (both fluids). He then starts a calculation of the work done on a liquid in a U-shaped container. Created by Sal Khan.

Sal finishes the calculation of work to determine the mechanical advantage in a U-shaped tube. He also explains pressure and Pascal's Principle. Created by Sal Khan.

Sal derives the formula to determine the pressure at a specific depth in a fluid. Created by Sal Khan.

18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion, and group velocity.

This is an engineering laboratory subject for mechanical engineering juniors and seniors. Major emphasis is on interplay between analytical and experimental methods in solution of research and development problems. Communication (written and oral) of results is also a strong component of the course. Groups of two or three students work together on three projects during the term.

In this video David explains what specific gravity means. He also shows how to calculate the value for specific gravity and use it to determine the percent of an object that will be submerged while floating.

Explore pressure under and above water. See how pressure changes as you change fluids, gravity, container shapes, and volume.

The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.

Students are introduced to the similarities and differences in the behaviors of elastic solids and viscous fluids. Several types of fluid behaviors are described Bingham plastic, Newtonian, shear thinning and shear thickening along with their respective shear stress vs. rate of shearing strain diagrams. In addition, fluid material properties such as viscosity are introduced, along with the methods that engineers use to determine those physical properties.

Sal introduces the notion of moving fluids and laminar flow. Then he uses the incompressibility of a liquid to show that the volume flow rate (flux) must remain constant. Sal then derives the equation of continuity in terms of the area and speed. Created by Sal Khan.

Students learn about the underlying factors that can contribute to Plinian eruptions (which eject large amounts of pumice, gas and volcanic ash, and can result in significant death and destruction in the surrounding environment), versus more gentle, effusive eruptions. Students explore two concepts related to the explosiveness of volcanic eruptions, viscosity and the rate of degassing, by modelling the concepts with the use of simple materials. They experiment with three fluids of varying viscosities, and explore the concept of degassing as it relates to eruptions through experimentation with carbonated beverage cans. Finally, students reflect on how the scientific concepts covered in the activity connect to useful engineering applications, such as community evacuation planning and implementation, and mapping of safe living zones near volcanoes. A PowerPoint® presentation and student worksheet are provided.