Learning Objectives
After completing this module, you should be able to:
1. Understand the relationship between a force and stress.
2. Identify dimensions of force and stress, and their units in SI and U.S customary.
3. Calculate normal stress and tangential stress.Define the relationship between the displacement vector and the velocity vector.
4. Identify the components pf the displacement vector in three spatial dimensions using unit vectors
5.Relate density to force and weight using Newton’s second law.Explain the relationship between weight, mass, and volume.
6. Convert force units in SI and U.S. Customary units.
7. Perform calculations with scalars and vectors.
Videos
Title: M3V1 – Forces and Stresses
Summary: This video covers the concepts of force and stress in fluid mechanics. It defines force and stress, introduces their units in SI and U.S customary, and explains the difference between normal stress and tangential stress.
Learning Objectives: After watching this video, students will be able to define force and stress, identify SI units and U.S customary units of force and stress, differentiate between normal and tangential stress, break down force into normal and tangential components.
Transcript: Read the transcript
Slides With Annotations: See the slides
Title: M3V2 – Velocity Vector
Summary: This video defines the velocity vector as the change in the displacement
vector over time. The video details how the displacement vector is
defined in three spatial dimensions using the unit vectors i, j, and k,
and how the velocity vector is derived from the displacement vector
with respect to time. It also discusses the components of the velocity
vector U, V, W, and their significance in real-world contexts.
Learning Objectives: After watching this video, students will be able to define the velocity vector, explain the relationship between displacement and velocity vectors, identify the components of the displacement vector in three spatial dimensions, derive the velocity vector, and interpret the components of the velocity vector U, V, W.
Transcript: Read the transcript
Slides With Annotations: See the slides
Title: M3V3 – Density, force and stress
Summary: This video discusses the fluid property of density and its relation to force and stress in fluids and defines density as mass per unit volume using both SI and U.S customary units. This lecture explains how density is related to the force of weight through Newton’s second law, introducing the concept of specific weight.
Learning Objectives: After watching this video, students will be able to define density and understand its units, relate density to force using Newton’s second law, calculate specific weight and pressure, and analyze the effect of fluid volume on force and stress.
Transcript: Read the transcript
Slides With Annotations: See the slides