mathematics

Kronprins Haakon

Kronprins Haakon is a mathematics 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 Kronprins Haakon rather than just read about it. In short: Kronprins Haakon is a Norwegian icebreaking polar research vessel owned by the Norwegian Polar Institute. The shiptime use is divided between the main users, The Arctic University of Norway (50%), Norwegian Polar Institute (30%) and Norwegian Institute of Marine Research (20%).

Key takeaways

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

Reference excerpt

Kronprins Haakon is a Norwegian icebreaking polar research vessel owned by the Norwegian Polar Institute. The shiptime use is divided between the main users, The Arctic University of Norway (50%), Norwegian Polar Institute (30%) and Norwegian Institute of Marine Research (20%). She was built at Fincantieri shipyard in Genova, Italy, and delivered in 2018.

Technical details With a length of 100.382 metres (329 ft 4.0 in), beam of 21 metres (68 ft 11 in) and draft of 8.666 metres (28 ft 5.2 in), Kronprins Haakon is the largest Norwegian icebreaker ever built despite being slightly shorter than NoCGV Svalbard, the 6,375-ton icebreaking offshore patrol vessel operated by the Norwegian Coast Guard. The research vessel has accommodation for 55 personnel in 38 cabins, including a crew of 15 to 17. She is equipped with a hangar for two small to medium-sized helicopters, but the helipad in the bow is strengthened also for the heavier helicopters such as NHIndustries NH90 operated by the Norwegian Coast Guard and Eurocopter AS332 Super Puma search and rescue (SAR) helicopters based in Svalbard. Like most modern icebreakers, Kronprins Haakon has a diesel-electric propulsion system. Her power plant consists of two 3,500 kW six-cylinder Bergen B32:40L6 and two 5,000 kW 9-cylinder Bergen B32:40L9 medium-speed diesel engines that produce power for two 5.5 MW Rolls-Royce US ARC 0.8 FP azimuth thrusters and two 1.1 MW bow thrusters. The propulsion system also gives her Dynamic Positioning (DP) Class 1 stationkeeping capability. In open water, she has a maximum cruising range of 15,000 nautical miles (28,000 km; 17,000 mi) and endurance of 65 days at cruising speed. The bollard pull of the vessel is 158 tonnes. The hull of Kronprins Haakon is strengthened according to International Association of Classification Societies (IACS) Unified Requirements for Polar Class Ships for operations in winter ice with pressure ridges, multi-year ice, and glacial ice inclusions. Her ice class, Polar Class 3, is intended for vessels designed for "year-round operation in second-year ice which may include multi-year ice inclusions". During full-scale ice trials north of Svalbard, Kronprins Haakon was found out to be capable of breaking 1-metre (3 ft 3 in) ice with a 20-centimetre (8 in) snow layer at a continuous speed of 4 knots (7.4 km/h; 4.6 mph) at full propulsion power, slightly exceeding her contractual requirements. Ridges up to 8 metres (26 ft) in thickness were successfully broken by ramming. A high-end research vessel, Kronprins Haakon has an extensive scientific outfit for oceanography, marine biology, and geology. The main deck is largely dedicated to scientific activities with 15 fixed and three container laboratories, refrigerated storage rooms, large working deck with cranes and an A-frame for trawling, and a hangar and 3-by-4-metre (10 by 13 ft) moon pool for sampling as well as AUV and ROV operations. Underwater acoustics instrumentation is fitted in two drop keels as well as special "arctic tanks" for operations in ice-covered seas.

Development and construction In 1999, the Norwegian Polar Institute issued a proposal for acquiring a new research vessel to replace the 1978-built Lance, a former fishing and sealing vessel that had been rebuilt as a research vessel in 1992. After a feasibility study was completed in 2007, the design contract was awarded to Rolls-Royce Marine (today Kongsberg Maritime Ship Design) in 2008. The initial design was further developed in close cooperation with the Norwegian Polar Institute and other future users of the research vessel and the Kongsberg Ship Design UT 395 vessel concept was approved by the Norwegian Ministry of Finance in 2011. The funding for the construction of the new research vessel was approved by the Norwegian Parliament and included in the 2013 budget. On 29 November 2013, the construction of the NOK 1.4 billion (approximately 175 million euro) polar research vessel was awarded to the Italian shipbuilder Fincantieri and the shipbuilding contract was signed on 19 December. The vessel, named Kronprins Haakon after Haakon, Crown Prince of Norway, would be built by Genova-based Riva Trigoso-Muggiano shipyard. Final outfitting and sea trials would be carried out at Fincantieri-owned VARD in Norway. The first steel for the new Norwegian polar research vessel was cut on 15 June 2015 and the keel was laid on 2 September. Kronprins Haakon, named after the crown prince of Norway, was launched on 3 March 2017 and delivered in April 2018. The main user of the vessel will be University of Tromsø, also known as the Arctic University of Norway. Kongsberg Maritime Ship Design later used the experience gained from designing the Norwegian polar research vessel to develop the RRS Sir David Attenborough for the British Antarctic Survey.

… excerpt ends here. Continue reading the full article.

Illustrations

Worked examples

Example 1 — a first encounter with Kronprins Haakon

Start with the simplest possible case. Write down what Kronprins Haakon claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 Kronprins Haakon 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 Kronprins Haakon 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 Kronprins Haakon

In research: Kronprins Haakon appears in mathematics 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 Kronprins Haakon 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: Kronprins Haakon is common in secondary-school and first-year university syllabi. It links to neighbouring topics 2017 ships, IMO numbers, Icebreakers of Norway, so understanding it makes those chapters shorter.
In everyday life: Look for Kronprins Haakon 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 Kronprins Haakon in 20 minutes

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

Frequently asked questions

What is Kronprins Haakon in simple terms?

Why does Kronprins Haakon matter?

Because it connects several mathematics 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 Kronprins Haakon?

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 Kronprins Haakon.