Bench Degree·WIND POWERchapter

Appendix A: The Bench

The whole volume’s kit in one place. Every experiment in this book is on this list, so you should never have to stop mid-chapter and wait two days for a delivery. Each chapter names what it needs when it needs it and points back here; if you would rather order once and be done, order from this list.


This is the cheapest volume in the series, and it is not close. Chapter 1 costs about $15 if there is a box fan in the house, and it puts the central result of the book in your hands: two rotors of the same size in the same wind, one of which produces several times what the other does.

The starter set that carries you through Chapter 6, which is the whole of the aerodynamics, is about $65. Bought new from nothing, the entire volume comes to roughly $200, and a third of that is one optional instrument discussed in Section 4.

Nothing here is specified by brand or by part number. Every item is described by function, size or rating, so the list stays orderable from anyone, anywhere, for as long as the book exists. Suppliers change and a printed link dies permanently. A specification does not.


Section 1: The starter set, for Chapters 1 to 6

Item Specification Rough cost
Box fan Your wind tunnel for the entire book. Any 400 to 500 mm (16 to 20 in) household box fan with two or three speeds. Three speeds is worth hunting for, because Chapter 13’s power curve needs more than one wind. owned, or $25
Small DC hobby motors Two or three of them. Used as generators. Any 3 to 12 V brushed motor with a shaft you can push a cork onto. Buy a bag of five, because one will get too hot. $10
Multimeter DC volts and DC milliamps. A second one is useful by Chapter 13 but never essential. $20
Digital kitchen scale To 5 kg (11 lb) in 1 g (0.04 oz) steps. This is the force-measuring instrument of the volume: rotor thrust in Chapter 5, lift and stall in Chapter 4, and the paddle wheel in Chapter 2. owned, or $12
Hot glue gun and sticks The only fastening method the whole book needs. $10
Stiff card and thin plywood A sheet of 3 mm (1/8 in) plywood or model ply, plus a stack of stiff card. Every blade in the book is cut from one or the other. Card is better for a first attempt because it takes camber by bending. $8
Wine corks Hubs. Drill them radially and they grip a blade root by friction. Free, and you may already have a drawer of them. free
Bamboo skewers and dowel Blade arms, pivots and axles. A length of 3 mm (0.12 in) dowel goes through the Chapter 4 wing section as its pivot. $3
Thread, a small paper cup, and coins Your dynamometer. Wind thread onto the shaft, hang the cup, add coins until the rotor stalls, and you have measured torque with no instrument at all. Used in Chapters 2, 5, 6 and 7. free
Resistor assortment A 100 Ω load resistor is the standard fixed load of the early chapters. A set from 10 Ω to 1 kΩ covers Chapter 13 as well. $6
Paper cups or ping-pong balls The drag rotor of Chapter 1. Four of either. owned
Protractor, ruler, tape measure Blade angles in Chapters 4, 6 and 14 are set to a few degrees and it matters. A printed protractor is fine. owned
A phone Four instruments in one, and all of them free. Slow-motion video is a tachometer, the sound meter is Chapter 6’s noise experiment, the accelerometer is Chapter 17’s vibration survey, and the audio spectrum analyser is Chapter 12’s tower frequency. owned

Starter set total: about $65, or about $90 if you need a fan and a kitchen scale.


Section 2: Added for Chapters 7 to 18

Item Specification Rough cost
Hand anemometer The one instrument that turns this book into measurement rather than comparison. Vane or hot-wire, reading from about 0.5 m/s (1.6 ft/s) up, with maximum and average functions. Chapters 5, 9, 13, 15 and 18. $30
Photo tachometer Optional. A phone on slow motion counts revolutions perfectly well, and a tachometer just makes it quick. $15
Drinks bottle and drain pipe A 2 litres (0.5 gallons) bottle for Chapter 2’s small Savonius, and a 400 mm (16 in) length of 110 mm (4.3 in) soil pipe for Chapter 7’s larger one. An offcut is free from any building site skip. free, or $8
Skate or roller bearings A pair, for the vertical-axis frame in Chapter 7. Any 8 mm (0.3 in) bore bearing. $8
Aluminium angle or cambered card Three straight blades for the Darrieus, about 400 mm (16 in) long. $10
Foam block or laminating card For Chapter 4’s wing section: 100 mm (4 in) chord, 200 mm (8 in) span, carved or laminated over a former. $5
Drinking straws A box, packed into a frame, is the flow straightener for the Chapter 4 wind tunnel duct. $3
Incense sticks Smoke, so you can see the flow separate at the stall angle. This is the moment the chapter becomes real. $3
Cardboard box Big enough to make a duct 300 mm (12 in) square and 600 mm (24 in) long. free
Decade resistance box or resistor set Chapter 13 sweeps the load to find the peak of a power curve. A wirewound potentiometer of about 500 Ω rated a few watts also works. $12
Scrap car alternator From a breaker’s yard or an online auction. Chapter 11 takes one apart to find the claw-pole rotor, the three-phase stator and the rectifier, and to learn why a real turbine’s generator is not one of these. $10 to $25
Socket set and a variable-speed drill To open the alternator and to spin it. Almost certainly owned. owned
A 12 V bulb and a 12 V battery For exciting and loading the alternator. owned, or free
Steel or aluminium tube 600 to 900 mm (24 to 36 in) of thin-wall tube, plus a lump of modelling clay as a nacelle. Chapter 12’s tower resonance experiment, and a steel rule will do instead. free
Electrolysis parts Two stainless machine screws or two pencil leads, a jar, washing soda, and two narrow test tubes. Chapter 3. $10
Two brushless hobby motors From a broken drone or a scrap printer, ideally identical. Chapter 16 makes a two-machine grid out of them, gives one a flywheel of MDF or a stack of washers, and loses synchronism on purpose. $20, or free
Twenty steel paper clips Chapter 17 measures a fatigue exponent with them, bending each one through a fixed angle until it breaks. This is a real materials experiment for nothing. free
A spreadsheet Chapters 10, 15 and 16 are arithmetic on real data, and the data is published free. owned

Second set total: about $135, and about half of that is the anemometer.


Section 3: Free, and worth more than most of what is above

Item Where Chapter
A scrap car alternator Any breaker’s yard, garage or farm. They have a bin of them. 11
Soil pipe or drum offcuts A building site skip, a plumber’s van, a car wash. 2, 7
Brushless motors A dead drone, a scrap inkjet printer, a broken hoverboard. Printers are the best source and every office has one to throw away. 16
Hourly wind generation data for a whole grid region Most system operators publish it as a free download, along with installed capacity. Chapter 16 builds a duration curve from it and finds a real lull. 16
A published power curve The manufacturer must supply one for any machine sold, in kilowatts against wind speed. Chapter 15 turns it into an annual yield. 15
A turbine you can see, and its data sheet Chapter 18’s capstone needs no equipment at all: one machine on a horizon, its rated power, its rotor diameter, and a calculator. 18
A year of your own wind Chapter 15 asks for a year, or one honest month, of readings from a broom handle in your own garden. The willingness to fail your own site is the whole exercise. 15

Section 4: The one expensive thing, and whether you need it

A logging anemometer. A unit with a data output and a mast costs $60 to $150, and a proper met mast is a different order of expense entirely.

You do not need one, and Chapter 10 says so in the box itself. The alternative is a hand anemometer at about $30 and a stubborn habit: readings at the same times each day, written in a notebook, for a month. The distribution you draw from a stubborn month is good enough to make a real decision with, and the chapter is honest that a month of hand readings and a year of logged readings answer different questions.

Where the logger earns its money is if you are actually considering buying a machine. A small wind turbine is a four-figure purchase whose output depends on the cube of a wind speed you have not measured, so $150 spent on measurement before $4,000 spent on hardware is the best value in this entire volume. Chapter 15 exists to talk you out of a bad site, and it can only do that with numbers.

What to buy first if the budget is one item: the hand anemometer. It appears in five chapters, it makes Chapter 5’s Betz demonstration quantitative, and it is the difference between knowing your rotor is better and knowing by how much.


Section 5: What you already own more of than you think

A box fan is a wind tunnel. Not a metaphor and not a compromise. It gives a steady 2 to 4 m/s (6.6 to 13 ft/s), it has speed settings, and every aerodynamic result in this book is obtained in front of one. La Cour built his tunnel at Askov in 1896 and 1897 to answer exactly the question Chapter 3 asks you to answer with a fan.

Your phone is four laboratory instruments. Slow-motion video counts rotor revolutions to better than one percent. A free sound level application measures the fifth-power noise law in Chapter 6. The accelerometer finds an unbalanced blade in Chapter 17. The audio spectrum analyser finds a tower’s natural frequency in Chapter 12, which is the number that must avoid the blade passing frequency at every rotor speed the machine uses.

A kitchen scale is a force gauge. Chapter 5 measures rotor thrust with one and gets the eight-ninths result out of it, which is the second half of the Betz argument and the half nobody demonstrates.

A wine cork is a variable-pitch hub. Drill it radially and it holds a blade root by friction alone, which is what makes Chapter 14’s feathering experiment possible, and which is also why that box tells you to keep clear.

Your car has a three-phase generator with a rectifier in it, and Chapter 11 takes a scrap one apart to explain why a modern turbine uses a permanent-magnet machine and a full converter instead.

And a paper clip is a fatigue specimen. Chapter 17 bends twenty of them through different angles, counts the cycles to failure, plots it on log paper and recovers an exponent between 3 and 5. That is the number the entire structural design of a wind turbine turns on, and it costs nothing.


Section 6: The experiments, and where they are

Twenty-seven, and the whole list fits on the kit above.

Experiment Chapter What it costs
Cups against wings 1 $15
Drag against lift, measured properly this time 2 under $5
Why they needed nineteen mills 2 nothing
Repeat la Cour’s experiment 3 a few dollars of card
Store it as hydrogen, the way la Cour did 3 under $10
A wind tunnel, and finding your own stall angle 4 $20
Measure the inflow angle, and derive your own twist 4 nothing
Watch the wind slow down 5 $30, and that is the anemometer
Measure the thrust, and find the eight ninths 5 a few dollars
Two, three and six blades, and the trade you cannot dodge 6 under $10
Hear the fifth power 6 nothing
Savonius against Darrieus, on the same shaft 7 $25 to $40
Watch the gain evaporate 8 a few dollars of card
Map the turbulence around your own house 9 $30, or nothing if you own one
Log a week and draw your own distribution 10 $30 to $150
Take an alternator apart 11 $15 to $40
Find a tower’s natural frequency, and why it must miss two numbers 12 nothing
Plot your own power curve 13 $25
Feather a blade and watch Region 3 happen 14 nothing
Assess your own site, and be willing to fail it 15 nothing beyond the anemometer
Compute the annual yield yourself, bin by bin 15 nothing
Build a duration curve, and find a lull 16 nothing
Make a grid, and lose it 16 $15 to $30
Measure a fatigue exponent with a paper clip 17 nothing
Find the ice by its vibration 17 nothing
The capstone, with no equipment at all 18 nothing
Build the best rotor you can, and account for the shortfall 18 nothing new

The five in bold are the ones to do if you do only five. The first delivers the whole thesis of the book for fifteen dollars, because a rotor that looks like it should be better is worse by a factor you can measure. The second is la Cour’s 1897 experiment repeated with a box fan and worse instruments, and you will get his answer. The third shows you a stall, with smoke, and after that Chapter 14’s storm behaviour is obvious. The fourth measures the thrust and finds eight ninths, which is the half of the Betz argument almost nobody demonstrates. And the fifth is the only experiment in this series whose most useful outcome is a decision not to buy something.

Eleven of the twenty-seven cost nothing at all, and four of those need only a spreadsheet, a notebook or a published data sheet. This is the cheapest subject in the series to learn honestly, and the reason is that a rotor is a shape rather than a machine: card, corks, glue and a fan will show you almost everything that a 3 MW turbine does.


The safety gear, which is not optional

Wear this for the experiments the book says to wear it for. The reasons are on the Before You Start page at the front, and in the chapter that owns each experiment.

Item Specification Cost
Eye protection Any impact-rated safety glasses. Worn for the alternator work in Chapter 11, the paper-clip fatigue test in Chapter 17, and any rotor you are about to run fast. $8
A G-clamp For holding the rotor stand, the tower tube and the vertical-axis frame to the bench. Two would be better. $8 each
A stop for the hinged arm A block of wood, so Chapter 5’s swinging rotor cannot reach the fan guard. free

Section 7: Kits

A single collection covering the starter set, the anemometer and the blade materials, ordered once, is the obvious convenience and it is being worked on. When it exists it will be at benchdegree.com/kit/wind-power, and that address is deliberately the only place it will be published: suppliers and product listings change, and a link printed in a book cannot be corrected. The specifications above can be taken to any supplier and will still make sense in twenty years.

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