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Midterm and Final Exam Review Questions
More solved problems! Over time, I plan to add more solutions to past midterm and final exam questions for your review.
Chapter 1 Solved Problem: Calculating Viscous Shear Stress (7:37)
A solved midterm exam problem involving calculating the viscous shear stress in a layer of oil using Newton's Law of Viscosity.
YouTube Video
A solved midterm exam problem involving calculating the viscous shear stress in a layer of oil using Newton's Law of Viscosity.
YouTube Video
| Viscous Shear Stress Example (pdf) |
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Chapter 2 Solved Problem: Hydrostatic Forces on a Plane Inclined Gate (7:08)
A solved problem involving the calculation of hydrostatic forces. YouTube Video | ||
Chapter 2 Solved Problem: Hydrostatic Forces on a Curved Gate (16:00)
A solved exam problem involving the calculation of the hydrostatic forced on a curved gate.
YouTube Video
A solved exam problem involving the calculation of the hydrostatic forced on a curved gate.
YouTube Video
| Hydrostatic Forces on a Curved Gate (pdf) |
| Curved Surface Handout 2025 (pdf) |
Chapter 2 Solved Problem: Manometer Pressure analysis (6:15)
The problem involves calculating a pressure difference using fluid levels in a manometer. The pressure difference in the air-filled section is neglected because the density of gases is three orders of magnitude less than liquids.
YouTube Video
The problem involves calculating a pressure difference using fluid levels in a manometer. The pressure difference in the air-filled section is neglected because the density of gases is three orders of magnitude less than liquids.
YouTube Video
| Midterm Review Manometer (pdf) |
Chapter 2 Solved Problem: Correcting for Buoyancy when Weighing Low Density Materials (5:51)
A short problem that demonstrates how to correct for buoyancy effects when weighing light materials with a scale. This was a Chapter 2 quiz problem.
YouTube Video
A short problem that demonstrates how to correct for buoyancy effects when weighing light materials with a scale. This was a Chapter 2 quiz problem.
YouTube Video
| Buoyancy Problem Weighing Light Objects (pdf) |
Chapter 3 Solved Problem: General Energy Equation (13:24)
A General energy equation example involving pumped storage from a previous final exam.
YouTube Video
A General energy equation example involving pumped storage from a previous final exam.
YouTube Video
| General Energy Equation Solution (pdf) |
Chapter 3 Solved Problem: Conservation of Linear Momentum (9:38)
This video discusses calculating the forces produced oil flowing through a 90 degree elbow using the conservation of linear momentum for a control volume.
YouTube Video
This video discusses calculating the forces produced oil flowing through a 90 degree elbow using the conservation of linear momentum for a control volume.
YouTube Video
| Chapter 3 Solve Problem Conservation of Linear Momentum (pdf) |
Chapter 3 Solved Problem: Conservation of Linear Momentum (21:32)
This video describes calculation of the forces generated by fluid flow in a mixing box. This is a (slightly modified) problem from the Fall 2024 final exam. The video also reviews the concept of continuity (conservation of mass) for incompressible flows.
YouTube Video
This video describes calculation of the forces generated by fluid flow in a mixing box. This is a (slightly modified) problem from the Fall 2024 final exam. The video also reviews the concept of continuity (conservation of mass) for incompressible flows.
YouTube Video
| Chapter 3 Solved Mixing Box Problem Linear Momentum (pdf) |
Chapter 3 Solved Problem: Conservation of Linear Momentum
(24:42)
This an exam question from 2015. This video describes the procedure for calculating the forces in a nozzle using the conservation of linear momentum for a control volume.
YouTube Video
(24:42)
This an exam question from 2015. This video describes the procedure for calculating the forces in a nozzle using the conservation of linear momentum for a control volume.
YouTube Video
| Chapter 2 Solved Nozzle Problem Linear Momentum (pdf) |
Chapter 4 Solved Problem: Navier-Stokes Equations (14:54)
Solution to a steady incompressible viscous fluid flow problem. This problem involves the solution of the Navier-Stokes equation.
YouTube Video
Solution to a steady incompressible viscous fluid flow problem. This problem involves the solution of the Navier-Stokes equation.
YouTube Video
| Navier-Stokes Final Exam Question (pdf) |
Toronto Metropolitan University