04-BS-7
Worked solutions to 14 past sittings (2013–2019), 182 questions. Pick a sitting, or start from a topic below.
- December 2019
- December 2018
- May 2018
- December 2017
- May 2017
- December 2016
- May 2016
- December 2015
- May 2015
- December 2014
- May 2014
- December 2013
- May 2013
- Undated paper
Topics across the sittings
Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.
- Shape of a Falling Raindrop (4 sittings): December 2015 Q13 · May 2014 Q13 · May 2013 Q13 · Undated paper Q11
- Quicksand (3 sittings): December 2016 Q13 · May 2013 Q10 · Undated paper Q12
- Centrifugal Pump (2 sittings): December 2019 Q5 · May 2016 Q8
- Cyclists (2 sittings): December 2014 Q13 · May 2014 Q12
- Drafting (2 sittings): December 2014 Q13 · May 2014 Q12
- Duct Bend Head Loss (2 sittings): December 2017 Q10 · May 2017 Q12
- Energy (2 sittings): December 2018 Q5 · May 2017 Q6
- Energy Transfer (2 sittings): December 2017 Q13 · May 2015 Q12
- Flat (2 sittings): December 2017 Q13 · May 2015 Q12
- Force (2 sittings): May 2015 Q12 · Undated paper Q6
- Gasoline (2 sittings): December 2018 Q2 · December 2015 Q5
- Gate Force (2 sittings): December 2017 Q6 · December 2015 Q4
- Gravity Dam Stability (2 sittings): December 2018 Q1 · December 2014 Q2
- Head (2 sittings): December 2018 Q5 · May 2017 Q6
- Hydraulic Jump (2 sittings): December 2018 Q4 · May 2017 Q5
Questions by sitting
December 2019
- Question 1: Absolute Pressure in a Pipe from a Multi-Fluid Manometer
- Question 2: Hot-Air Balloon — Temperature for Neutral Buoyancy
- Question 3: Concrete Canal Wall — Middle-Third Stability Check
- Question 4: Electrical Power to Pump Gasoline Between Gauges
- Question 5: Centrifugal Pump and System Operating Point
- Question 6: Thrust Developed by an Aircraft Propeller
- Question 7: Pressure Drop in a Sloping Mine Ventilation Tunnel
- Question 8: Flow Rate in a Gravity Water Supply Pipeline
- Question 9: Boeing 747 — Lift Coefficient, Drag Coefficient and Thrust Power at Cruise
- Question 10: Sliding Stability of Two L-Shaped Dams Under Uplift
- Question 11: Air Pressure in a Submerged Cylinder — Two Filling Sequences
- Question 12: Why a Vacuum Nozzle Must Be Held Closer Than a Blower Nozzle
- Question 13: Why Turning Vanes Reduce Head Loss in a Duct Bend
December 2018
- Question 1: Gravity Dam Stability — Middle-Third Rule
- Question 2: Equilibrium Level in a Discharging Tank — Gasoline vs Lubricating Oil
- Question 3: Archimedes' Crown — Purity by Weight of a Gold–Silver Alloy
- Question 4: Hydraulic Jump — Momentum Force Balance and Flow Rate
- Question 5: Hydraulic Jump — Head, Energy and Power Loss
- Question 6: Trapezoidal Irrigation Canal — Elevation Drop from General Pipe-Flow Relations
- Question 7: Jet Force on a Plate vs Static Nozzle Pressure Force
- Question 8: Turbojet Engine — Inlet Area and Thrust
- Question 9: Treadmill Incline to Simulate Outdoor Wind Resistance
- Question 10: Sliding Stability of Two Triangular Dams
- Question 11: Wide Shallow River Under Flood Conditions
- Question 12: Aerodynamics of a Frisbee in Flight
- Question 13: Self-Righting Stability of a Falling Playing Card
May 2018
- Question 1: Multi-Fluid Manometer on a Water Pipe
- Question 2: Crosby Gauge Tester — Percent Error
- Question 3: Shower Curtain Deflection Angle
- Question 4: Submersible Fountain Pump Power
- Question 5: Beach Wave — Hydraulic Jump Power Dissipation
- Question 6: Pressure Drop in a Corrugated Air-Exchanger Pipe
- Question 7: Jet Engine Forward and Reverse Thrust
- Question 8: Terminal Velocity of a Table Tennis Ball
- Question 9: Wind and Gravity Loads on a Power-Line Conductor
- Question 10: Stability of a Floating Square Bar
- Question 11: The Laminar-to-Turbulent Friction-Factor Jump on the Moody Diagram
- Question 12: Stable Falling Orientation of a Hemisphere
- Question 13: Magnus Effect — Why Topspin Makes a Table Tennis Ball Dip
December 2017
- Question 1: Two-Fluid Manometer Between Pipes A and B
- Question 2: Venturi Tube Measuring Gasoline Flow
- Question 3: Ideal Flow Velocity and Pressure Around a Chimney
- Question 4: Electrical Power for a Gasoline Pump
- Question 5: Thrust on a Wind Turbine
- Question 6: Island Bend Dam — Spillway Discharge and Gate Force
- Question 7: Pipe Diameter Selection Using the Moody Diagram
- Question 8: Car Drag Coefficient, Power, and Fuel Consumption
- Question 9: Wind Loading on a Multi-Flue Chimney
- Question 10: Duct Bend Head Loss — Plain vs. Vaned
- Question 11: Capillary Rise Between Rods of Two Sizes
- Question 12: Steam Condenser — Small Tubes vs. Large Tubes
- Question 13: Jet Force and Energy Transfer — Flat vs. Curved Plate
May 2017
- Question 1: Capillary Rise in a Rectangular Channel
- Question 2: Reservoir Flip-Gate — Open or Remain Closed?
- Question 3: Helium Balloon — Mass and Altitude Volume Change
- Question 4: VDI Orifice Meter — Differential Pressure Reading
- Question 5: Hydraulic Jump — Flow Rate from Depths
- Question 6: Hydraulic Jump — Head, Energy and Power Loss
- Question 7: Head Loss in a Rectangular Ventilation Duct
- Question 8: CANDU Fuel Bundle — Coolant Pressure Drop
- Question 9: Falling-Sphere Viscometer — Oil Viscosity
- Question 10: Significance of the Laminar Sublayer
- Question 11: Floating Square Bar — Stable Orientation
- Question 12: Duct Bend Head Loss — Orientation of a Rectangular Bend
- Question 13: Barge Passing Over an Aqueduct — Change in Pillar Load
December 2016
- Question 1: Neutral-Buoyancy Temperature of a Hot-Air Balloon
- Question 2: Middle-Third Stability Check on a Concrete Gravity Dam
- Question 3: Velocity Variation Around a Cylinder from Streamline Spacing
- Question 4: Wind-Induced Stagnation and Side Pressure on a Chimney
- Question 5: Propeller Thrust via Actuator-Disk (Momentum) Theory
- Question 6: Wind-Induced Suction Ventilating an Outhouse Pit
- Question 7: Head Loss in an Outhouse Vent Pipe
- Question 8: Elevation Drop for Uniform Flow in a Trapezoidal Irrigation Canal
- Question 9: Settling Velocity of Magnetite Slurry Particles (Stokes' Law)
- Question 10: Velocity and Flow-Rate Response of a Wide River in Flood
- Question 11: Stability of a Floating Square Bar — Horizontal vs Vertical
- Question 12: Draining-Time Comparison — Upright vs Inverted Conical Tanks
- Question 13: Relative Sinking Depth in Light Oil vs Quicksand
May 2016
- Question 1: Absolute Pressure in a Pipe from a Multi-Fluid Manometer
- Question 2: Depth to the Water Table from an Air-Purge Borehole Test
- Question 3: Middle-Third (No-Tension) Check on a Concrete Canal Wall
- Question 4: Minimum Wind Velocity to Lift a Flat Insulation Panel
- Question 5: Total Head Loss from a Reservoir-Fed Pipe Test
- Question 6: Sizing a Pipeline Diameter via the Colebrook/Moody Friction Relation
- Question 7: Jet Force vs. Static Pressure Force on a Nozzle Plate
- Question 8: Centrifugal Pump – System Operating Point
- Question 9: Lift, Drag, and Thrust Power of a Cruising Boeing 747
- Question 10: Change in Compressive Force on Aqueduct Pillars as a Barge Passes
- Question 11: Which Triangular Dam Is More Likely to Slide?
- Question 12: Flow Net and Streamlines Through a Conical Converging Nozzle
- Question 13: Streamline Patterns for Tank Inflow/Outflow and Sharp-Edged Orifice Jets
December 2015
- Question 1: Capillary Rise Between Touching Glass Rods
- Question 2: Percent Error in a Crosby Gauge Tester
- Question 3: Stagnation and Side Pressure on a Cylindrical Chimney
- Question 4: Island Bend Dam — Spillway Discharge and Gate Force
- Question 5: Viscosity and Tank Equilibrium Level — Gasoline vs. Lubricating Oil
- Question 6: Ideal-Flow Velocity and Flow Rate Through a Sharp-Edged Nozzle
- Question 7: Turbojet Thrust and Duct Areas
- Question 8: Rate of Rise of a Helium Meteorological Balloon
- Question 9: Pressure Drop in a Corrugated Aluminum Air Duct
- Question 10: HGL and EGL Profiles Along the Island Bend Dam Spillway
- Question 11: Why the Moody Friction Factor Jumps at the Laminar–Turbulent Transition
- Question 12: Sliding Resistance of Two L-Shaped Gravity Dams
- Question 13: Shape of a Falling Raindrop — Large vs. Small
May 2015
- Question 1: Three-Fluid Differential Manometer
- Question 2: Force to Lift a Submerged Concrete-Block Gate
- Question 3: Horizontal Force on the Jounama Dam Radial Gate Pivots
- Question 4: Electrical Power for a Gasoline Transfer Pump
- Question 5: Pitot-Static Tube Air-Velocity Measurement
- Question 6: Thrust on a Wind Turbine (Actuator-Disk Theory)
- Question 7: Flow Rate in a Gravity-Fed Concrete Pipeline
- Question 8: Head Loss in an Annular Duct
- Question 9: Maximum Sustainable Cycling Speed from Drag Data
- Question 10: Effect of Pipe-Wall Roughness on the Turbulent Velocity Profile
- Question 11: Fastest-Draining Orientation for a Cylindrical Drum
- Question 12: Force and Energy Transfer — Flat vs. Curved Plate under a Jet
- Question 13: Why a Shower Curtain Blows Inward
December 2014
- Question 1: Hydrostatic Force on a Hemispherical Wall Projection
- Question 2: Gravity Dam Stability (Middle-Third Rule)
- Question 3: Power for a Submersible Garden Fountain
- Question 4: Radial Inflow Velocity to a Tank Drain
- Question 5: Jet on a Moving Curved Plate (180° Turn)
- Question 6: Stagnation Pressure Limit for a Motorcyclist
- Question 7: Pressure Drop in a Sloping Mine Ventilation Tunnel
- Question 8: Elevation Drop for a Trapezoidal Irrigation Canal
- Question 9: Oil Viscosity from a Sphere's Terminal Velocity
- Question 10: Stable Floating Orientation of a Square Bar
- Question 11: Compressive Force on Aqueduct Pillars as a Barge Passes
- Question 12: High-Lift Aircraft Wing Configurations
- Question 13: Drafting: Cyclists vs. Swimmers
May 2014
- Question 1: Capillary Rise in a Flattened Tube
- Question 2: Manometer Fluid Identification
- Question 3: River Flow Accumulation and Level Rise
- Question 4: Head Loss in a Reservoir-Fed Pipe
- Question 5: Temperature Rise in a Closed Pump Circuit
- Question 6: Nozzle Jet Velocity and Discharge
- Question 7: Jet Force on a Plate: Dynamic vs. Static
- Question 8: Drain-Cleaning Nozzle Thrust
- Question 9: Pipe Sizing from the Moody Chart
- Question 10: Flow Net for a Converging Nozzle
- Question 11: Orifice Meter, Manometer, and Grade Lines
- Question 12: Drafting: Cyclists vs. Swimmers
- Question 13: Shape of a Falling Raindrop
December 2013
- Question 1: Capillary Rise Between Closely Packed Vertical Rods
- Question 2: Viscous Heating in the Crankshaft Main Bearings
- Question 3: Sliding Friction Required to Hold a Concrete Dam
- Question 4: Head Loss in a Long Water Supply Pipeline
- Question 5: Wind-Induced Ventilation of an Outhouse Pit
- Question 6: Power Required for a Submersible Garden Fountain
- Question 7: Thrust and Flow Areas of a Turbojet Engine
- Question 8: Pipe Diameter Selection from the Moody Chart
- Question 9: Settling Velocity of Magnetite in a Separation Slurry
- Question 10: Spillway Flow — Streamlines, EGL and HGL
- Question 11: Stable Floating Orientation of a Square Timber
- Question 12: Flood Velocity and Flow Rate in a Wide Shallow River
- Question 13: Flow Characteristics — Sink/Jet Streamlines and Orifice Contraction
May 2013
- Question 1: Compound Manometer — Absolute Pressure in a Pipe
- Question 2: Hot Air Balloon — Neutral Buoyancy Temperature
- Question 3: Hinged Gate — Open or Remain Closed?
- Question 4: Radial Flow to a Drain Hole
- Question 5: Ideal Flow Around a Cylinder — Chimney in Wind
- Question 6: Minimum Wind Velocity to Lift an Insulation Panel
- Question 7: Propeller Thrust
- Question 8: Pipe Friction Between Two Reservoirs (Moody Chart)
- Question 9: Rate of Rise of a Hydrogen Balloon (Drag Chart)
- Question 10: Sinking in Light Oil vs. Quicksand
- Question 11: Which L-Shaped Dam Slides?
- Question 12: Barge Crossing an Aqueduct
- Question 13: Shape of a Falling Raindrop
Undated paper
- Question 1: Pressure in Pipe A from a Two-Fluid Differential Manometer
- Question 2: Pitot-Static Tube in an Air Duct
- Question 3: Counterweight Mass for a Hinged Dam Gate
- Question 4: Minimum Wind Speed to Lift an Insulation Panel
- Question 5: Ideal-Flow Orifice Jet from a Pressurized Pipe
- Question 6: Force, Power and Efficiency of a Jet on a Moving Curved Plate
- Question 7: Efficiency of a Submersible Sump Pump
- Question 8: Friction Head Loss in a Flexible Corrugated Discharge Pipe
- Question 9: Pressure Drop Along a CANDU Fuel Bundle Annulus
- Question 10: Capillary Rise Between Two Square-Packed Rod Arrays
- Question 11: Shape of a Falling Raindrop
- Question 12: Sinking Depth — Light Oil versus Quicksand
- Question 13: High-Lift Wing Configurations