Where does a machine's energy come from?

Energy transfers and transformations in machines, and how the law of conservation of energy explains them (D3.1).

Lesson 1 of 1 5 of 5 in the course

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Draft: this lesson was written with AI help and has not yet been read by a human editor.

What your class asks

This lesson asks you to describe a variety of energy transfers and transformations and to explain them with the law of conservation of energy. The museum offers machines of the Islamic world that raised water, with what their records say about what drove them. The law itself and the calculations are for your class to bring. 1

Curriculum expectations, with their official codes

  • D3.1 describe a variety of energy transfers and transformations, and explain them using the law of conservation of energy

Before you start

A thought to carry into the lesson.

The lesson

Where does the energy come from, and where does it go?

Look at the expectation: it asks for transfers and transformations. For a machine, ask what goes in, what moves and what comes out, and whether any part only looks like the source of the motion.

Go deeper

Follow the energy through one machine from Taqi al-Din's book. In Al-Turuq al-saniyya, Taqi al-Din ibn Maruf described six tubes with pistons, weights and valves, actuated by projections distributed around a shaft and connected to a shared outlet 2. Rising and falling strokes perform different functions: a cam raises a piston through a rocker; a weight then drives it downward 3. An inlet valve and a delivery valve distinguish admission from discharge 3. Their common pipe collects delivery; it does not become an independent energy source 3. Ask which part gives the piston its rise, which gives it its fall, and which only directs the water. The record is the six-cylinder pump.

Why they did it

The records preserve no statement by al-Jazari of why he hid the drive of his lifter. Hill infers from its materials and ornament that its purpose was at least partly decorative, rather than solely a large practical plant 4. The text itself pairs useful transport with deliberate beauty: silk, copper, marble and colour 5. For Taqi al-Din no sentence of his own is preserved either; the record reads the intention of this design as successive delivery rather than only one piston's pulse 2.

Often misunderstood

A figure that moves is easy to take for the source of motion. In the hidden-drive lifter the cow is hollow wood, carried by a lever with its hooves clear of the platform, and water drives the machine 5. Discharged water turns a wheel in a lower chamber, and gears carry the rotation to a vertical shaft 5. The shaft turns the cow, not the reverse 6.

How do we know?

These are machines on paper. Hill's explanatory drawing enlarges the jars and shows only two for clarity, and he notes a pictured overflow pipe that the wording does not mention and another machine, mentioned but not described 4. No working original or measured power is reported for the lifter. For Taqi al-Din's pump, the modern engineering study explicitly lacks evidence of historical manufacture and assumes many model dimensions 7. Ask what each source could tell you about energy, and what it never measured.

Think about it

Choose one part that catches the eye in one of these machines. Is it a source of energy, a part that transmits it, or a load that the machine carries? Which record sentence would you point to, and what would someone who reads the machine differently say against you?

Into the museum

Try this

Read the records of al-Jazari's hidden-drive water lifter and Taqi al-Din's six-cylinder pump. For each, draw boxes and arrows from the source of energy to the lifted water, and mark any part that looks like a source but is not.

Carry it further

Where this lesson leads in the museum.

Check yourself

Nothing here is marked or sent anywhere. It is for you.

Which of these did you meet in this lesson?

Not in this lesson. Look again at the cards above.

Yes. That is the one from this lesson.

Not in this lesson. Look again at the cards above.

In your own words: what does Al-Jazari's hidden-drive water lifter have to do with this lesson?

Compare with the card

The cow that does not turn the wheel. Al-Jazari describes a pool hiding a wheel and drive below, with jars lifting water to a channel above. A wooden cow seems to turn the machine, but the record says water drives it, and the shaft turns the cow, not the reverse. It adds that the arrangement needs a supply, a drainage path and a fall that lets the water do work; it is not a closed pool creating its own power. Where does the energy come from?

In your own words: what does Al-Jazari's animal-powered scoop water-lifter have to do with this lesson?

Compare with the card

An animal turns the drive. In Category V, chapter 4, al-Jazari describes a water lifter powered by an animal: gears carry rotation to a pin that moves in a slot in the ladle's stem, raising and lowering the scoop. The record says the animal powers the driving assembly, and the geared mechanism turns that input into a repeated lifting movement. How does rotation become up-and-down motion here?

I can now

Notes

  1. 1. Ontario Ministry of Education, The Ontario Curriculum: Science
  2. 2. Al-Turuq al-saniyya — al-Hasan edition, pp47–50
  3. 3. Al-Turuq al-saniyya — al-Hasan edition, pp47–48
  4. 4. Al-Jazari — Donald Hill translation1974, p.265
  5. 5. Al-Jazari — Donald Hill translation1974, pp.182–183
  6. 6. Al-Jazari — Donald Hill translation1974, p.182
  7. 7. Cabeza et al.: Taqi al-Din pump study, sections2–4
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