Week 8 Study Guide — Fluid Properties, Pressure, Buoyancy

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Directly supported by notes

These items are explicitly in the lecture slides, lecture notes, or tutorial PDF:

Topic	Direct source coverage
Fluid definition (continuous deformation)	Slide 3
Density forms ( $ρ$ , $γ$ , $S G$ )	Slide 7
Newton’s law of viscosity	Slide 10; Example 1 (slide 11 / notes p. 1)
Pressure as a normal stress; Pascal’s law	Slides 13–14
Hydrostatic equation $Δ p = ρ g Δ h$ derivation	Notes p. 2
Two-point pressure rules	Slides 15–16
Manometers (barometer, piezometer, U-tube, differential, inclined)	Slides 18–22; Examples 2–4 (notes pp. 3–6)
Buoyancy / Archimedes / $F_{B} = ρ g V$	Slides 23–24; Example 5 (notes p. 7)
Tutorial problems Ex 1–8 with worked answers	Tutorial 8 + Solutions PDFs
Lab worksheet (assessed, feeds 10% Lab Report)	Slide 27; tutorial deck slide 19

The workshop, lab, and exam expect you to be able to:

Compute $ρ$ , $γ$ , and $S G$ for a fluid and convert between them.
Apply Newton’s law of viscosity to a plate / slider / concentric-cylinder bearing.
Walk a manometer path with mixed fluids and report pressure as absolute or gauge.
Use Archimedes’ principle for both fully submerged and partially submerged bodies.
Convert pressure values to equivalent column heights of any fluid.

The lecture almost certainly also covers (in roughly this order):

A motivating slide on engineering uses of fluid mechanics (pumps, hydraulics, blood flow, weather).
The continuum hypothesis (treating a fluid as infinitely divisible — too small to see molecules, large enough that statistical averages are smooth).
A side-by-side comparison of liquids vs gases (incompressible vs compressible; fixed volume vs container volume).
A statement that “all real fluids are viscous” with $μ$ tabulated for water, air, oils.
A brief mention of non-Newtonian fluids (shear-thinning paints, ketchup) as the exception to Newton’s law.

May appear in the lecture but isn’t in the workshop / tutorial PDFs:

Surface tension and capillary action.
Vapour pressure and cavitation.
Compressibility and bulk modulus.
Stability of floating bodies (metacentre).
Forces on submerged plane surfaces beyond simple uniform-depth cases (centre of pressure).

Mastering Physics modules “Fluids Introduction” and “Forces on Submerged Bodies” — verify the assigned questions in the LMS; they may push slightly beyond the lecture (e.g. into pressure forces on a tilted plate).
Lab worksheet exact format — slide 27 says “collect data and submit your worksheet”; check the lab brief for what data is being collected (likely buoyancy / density measurements given the topic).
Wolfson Chapter 15 reading — assigned but the lecture only touches a subset. If the chapter covers metacentre / centre of pressure and the exam doesn’t, no problem; but check before the exam.

Three notes cover this material at different depths:

Lecture summary — the reconstructed lecture with all five worked examples and the tutorial-answer summary.
Cheatsheet — every formula, table, and recipe in one page, plus the quiz (mixed difficulty, reshuffles every visit).
In-depth note — why each result holds, full worked example per topic, and an exam-style sample end-to-end.

Recurring across tutorials, the lab, and past exam papers:

Plugging $S G$ directly into $ρ g h$ . Convert to $ρ$ first.
Forgetting to convert inclined manometer length into a vertical drop with $sin θ$ .
Crossing a fluid–fluid interface and assuming “same depth, same pressure” still holds. It doesn’t — walk the path segment by segment.
Using object density in $F_{B} = ρ g V$ . Always use the displaced fluid’s density.
Sign errors in the manometer walk (forgetting that up subtracts, down adds).
Reporting gauge when absolute was asked (or vice versa). Read the question.
Inconsistent $g$ — lecture uses $9.8$ , some tutorial answers use $9.81$ . Pick one and stick with it for the whole problem.

From Tutorial 8.pdf, with priority:

Density / mass volume: Ex 1 (pool with trapezoidal cross-section).
Viscosity: Ex 2 (slider bearing) and Ex 3 (concentric cylinders) — do both.
Hydrostatic pressure walks: Ex 4 (oil over water), Ex 5 (multi-chamber), Ex 8 (differential U-tube — challenge).
Buoyancy: Ex 6 (iceberg in seawater vs pure water) and Ex 7 (hydrometer).
Bonus: express $50 kPa$ as column heights of mercury, water, and acetylene tetrabromide.

Then attempt the in-depth note’s exam-style buoy / manometer sample without looking at the worked solution.

Item	Where it shows up
Exam	At least one manometer path-walking question; at least one buoyancy / Archimedes question; viscosity may appear as a short calculation.
Portfolio 7 (a.k.a. Portfolio 8)	Workshop class — likely drawn from Tutorial 8 problem set.
Lab Report (10%)	The assessed worksheet this week feeds into the Lab Report. Bring the worksheet, collect data carefully, submit at the end.
Mastering Physics	”Fluids Introduction” + “Forces on Submerged Bodies” modules.

The Lab/Practical assessment is the distinguishing feature of Week 8 vs surrounding weeks — make sure you don’t miss the lab session.

Directly supported: every formula, every worked example, every tutorial answer cited in the lecture summary. Slide numbers and page numbers are traceable.
Inferred: the motivating intro slides, the continuum-hypothesis remark, and the liquids-vs-gases comparison. These are standard Wolfson Chapter 15 content but not visible in the PDFs.
Gap: surface tension, vapour pressure, metacentre, and centre-of-pressure for tilted surfaces are not in the tutorials and may or may not appear in lecture; verify against the slide deck if your exam covers them.

EGD102-Physics/Lecture8_CTP1.pdf
EGD102-Physics/EGD102 - Lecture8 - Notes.pdf
EGD102-Physics/Tutorial 8.pdf
EGD102-Physics/Tutorial 8_Solutions.pdf
Wolfson, R. 2020. Essential University Physics, Volume 1, Global Edition, 4th ed. (SI Units), Chapter 15 (referenced on slide 28).