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Pilatus Railway

Pilatus Railway is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Pilatus Railway rather than just read about it. In short: The Pilatus Railway (German: Pilatusbahn, PB) is a mountain railway in Switzerland and the steepest rack railway in the world, with a maximum gradient of 48% and an average gradient of 35%. The line runs from Alpnachstad, on Lake Alpnach, to a terminus near the Esel summit of Pilatus at an elevation of 2,073 m (6,801 ft), which makes it the highest railway in the canton of Obwalden and the second highest in Central…

Pilatus Railway — main illustration
Pilatus Railway — illustration

Key takeaways

  • Pilatus Railway belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Pilatus Railway to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Pilatus Railway from memory before moving on to harder problems.

Reference excerpt

The Pilatus Railway (German: Pilatusbahn, PB) is a mountain railway in Switzerland and the steepest rack railway in the world, with a maximum gradient of 48% and an average gradient of 35%. The line runs from Alpnachstad, on Lake Alpnach, to a terminus near the Esel summit of Pilatus at an elevation of 2,073 m (6,801 ft), which makes it the highest railway in the canton of Obwalden and the second highest in Central Switzerland after the Furka line. At Alpnachstad, the Pilatus Railway connects with steamers on Lake Lucerne and with trains on the Brünigbahn line of Zentralbahn.

History The first project to build the line was proposed in 1873, suggesting a 1,435 mm (4 ft 8+1⁄2 in) standard gauge and 25% maximal gradient. It was concluded that the project was not economically viable. Eduard Locher, an engineer with great practical experience, proposed an alternative project with the maximum grade increased to 48%, cutting the distance in half. Conventional systems at the time could not negotiate such gradients because the cogwheel that is pressed to the rack from above may, under higher gradients, jump out of engagement with the rack, eliminating the train's driving and braking power. Instead, Locher placed a horizontal double rack between the two rails with the rack teeth facing each side. This was engaged by two flanged cogwheels mounted on vertical shafts underneath the car. This design eliminated the possibility of the cogwheels climbing out of the rack, and prevented the car from toppling over, even under severe crosswinds common in the area. The system was also capable of guiding the car without the need for flanges on the wheels. Indeed, the first cars on Pilatus had no flanges on running wheels, but they were later added to allow cars to be moved through tracks without rack rails during maintenance. Construction began in March 1886, and it took four hundred working days during the summer months of three years to complete. Six hundred laborers, mostly Italians, were employed. The line was opened on 4 June 1889, and was electrified in 1937, using an overhead electric supply of 1,650 V DC. The first year the line counted 35,000 passengers, by 1901 a million had travelled on top of the Pilatus by rail. The government provided no subsidy for the construction of the line. Instead, Locher established his own company "Locher Systems" to build the railway. The railway was built entirely with private capital and has remained financially viable throughout its life. New energy-efficient trains built by Stadler Rail were introduced in 2023. The Pilatus Railway was named a Historic Mechanical Engineering Landmark by the American Society of Mechanical Engineers in 2001.

Gallery

Operation The line is 4.6 km (2.86 mi) long, climbs a vertical distance of 1,629 m (5,344 ft), and is of 800 mm (2 ft 7+1⁄2 in) gauge. Because of the rack-system, there are no conventional points or switches on the line, only rotary switches (see photograph) and traversers. All rails are laid on solid rock, securing rails by high-strength iron ties attached to the rock, without using any ballast. The line still uses original rack rails that are now over 100 years old. Despite being worn down, it was discovered that this can be fixed by simply turning the rails over, providing a new wearing surface that would be sufficient for some time. The cars' electric motors are used as generators to brake the car during descent, but this electricity is not reused — it is dissipated as heat through resistance grids. Originally, the steam engines were used as compressors to provide dynamic braking, since the use of friction brakes alone is not practical on very steep slopes. The line is operated seasonally from May to October. The cable car, which approaches from the other side, runs all year except for a short maintenance period.

See also List of mountain railways in Switzerland List of heritage railways and funiculars in Switzerland Rail transport in Switzerland

References

Sources Book Tramways and Light Railways of Switzerland and Austria, ISBN 0-900433-96-5, by R.J.Buckley, published by the Light Rail Transit Association, 1984.

External links Media related to Pilatusbahn at Wikimedia Commons Pilatus Railway web site Scientific American 8/13/1904; The Mount Pilatus Railway, Switzerland

Illustrations

Pilatus Railway illustration
Pilatus Railway illustration
Pilatus Railway illustration
Pilatus Railway illustration
Pilatus Railway illustration

Worked examples

Example 1 — a first encounter with Pilatus Railway

Start with the simplest possible case. Write down what Pilatus Railway claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Pilatus Railway before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Pilatus Railway ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Pilatus Railway

In research
Pilatus Railway appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Pilatus Railway in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Pilatus Railway is common in secondary-school and first-year university syllabi. It links to neighbouring topics 800 mm gauge railways in Switzerland, Heritage railways in Switzerland, Historic Mechanical Engineering Landmarks, so understanding it makes those chapters shorter.
In everyday life
Look for Pilatus Railway outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Pilatus Railway in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pilatus Railway means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Pilatus Railway out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pilatus Railway in simple terms?

The Pilatus Railway (German: Pilatusbahn, PB) is a mountain railway in Switzerland and the steepest rack railway in the world, with a maximum gradient of 48% and an average gradient of 35%. The line runs from Alpnachstad, on Lake Alpnach, to a terminus near the Esel summit of Pilatus at an elevatio…

Why does Pilatus Railway matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Pilatus Railway?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Pilatus Railway.

Tags

  • 800 mm gauge railways in Switzerland
  • Heritage railways in Switzerland
  • Historic Mechanical Engineering Landmarks
  • Mountain railways
  • Rack railways in Switzerland
  • Railway companies of Switzerland
  • Railway lines in Switzerland
  • Transport in Nidwalden

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