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Spin-stabilized magnetic levitation

Spin-stabilized magnetic levitation is a science 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 Spin-stabilized magnetic levitation rather than just read about it. In short: Spin-stabilized magnetic levitation is a phenomenon of magnetic levitation whereby a spinning magnet or array of magnets (typically as a top) is levitated via magnetic forces above another magnet or array of magnets, and stabilised by gyroscopic effect due to a spin rate that is neither too fast, nor too slow to allow for a necessary precession. The phenomenon was originally discovered through invention by Vermont i…

Spin-stabilized magnetic levitation — main illustration
Spin-stabilized magnetic levitation — illustration

Key takeaways

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

Reference excerpt

Spin-stabilized magnetic levitation is a phenomenon of magnetic levitation whereby a spinning magnet or array of magnets (typically as a top) is levitated via magnetic forces above another magnet or array of magnets, and stabilised by gyroscopic effect due to a spin rate that is neither too fast, nor too slow to allow for a necessary precession. The phenomenon was originally discovered through invention by Vermont inventor Roy M. Harrigan in the 1970s. On May 3, 1983, Harrigan was granted a US patent for his original levitation device based upon this phenomenon he discovered. Independent of Harrigan, a Pennsylvanian inventor named Joseph Chieffo made the same discovery in 1984 employing a flat base magnet, a geometry that proved a significant change over his predecessor's patented design which relies upon a dish shaped mounting of magnets for the base. Chieffo's design, publicized in a 1991 edition of the periodical "Magnets In Your Future", further differed from Harrigan's in its incorporation of an un-weighted top. Harrigan's technology, either solely or in conjunction with Chieffo's published flat-base variation, provided the basis for the development of a series of mass marketed levitating toy tops sold predominantly in the United States under the brand name, 'Levitron' and in other countries from different manufacturers under their brand names (e.g. UCAS in Japan). In 2012 and 2014 Max Michaelis reported operating Levitron brand magnetic tops at inclination angles of 45° and 90° (i.e. with the spin axis, horizontal) after employing novel configurations for the supporting magnetic fields.

Physics

Earnshaw's theorem does not allow for a static configuration of permanent magnets to stably levitate another permanent magnet or materials that are paramagnetic or ferromagnetic against gravity. This theorem does not apply to devices consisting of a properly configured axially magnetized magnetic base and corresponding axially magnetized magnetic top, however, because the non-static nature of the spinning magnetic top within a threshold of lower and upper RPM spin rates acts as a balanced precessing gyroscope to prevent the poles of its magnetic field from fully aligning themselves in the same direction as those of the primary supporting toroidal field of the magnetic base (i.e.: via the top flipping). In a vertical orientated spin axis configuration this gyroscopic property with its necessary precession allows the top to keep its field in an oppositional orientation by responding dynamically to the field direction of the central magnetic field gradient of the toroidally shaped field of its base magnet(s) with the base gradient decreasing radially towards the central interior of the base field and thereby remain self-centered in a restorative manner, levitating about an elevated central point within the base magnetic field where the forces acting on the top (gravitational, magnetic, and gyroscopic) are in a stable equilibrium thus allowing the top to stay hovering while resting in an energy minimum well. (see: magnetic levitation) In the laboratory, experimental setups are able to levitate tops for indefinite periods by measuring the spin rate and maintaining it using a drive coil. However, variations in temperature can affect the stability, and without ambient temperature control the top will eventually fall after hours or days due to the temperature coefficient of the magnets. The physics of the magnetic stability is similar to magnetic gradient traps. Inclined or horizontal spin axis levitation is accomplished by superposing a "macro-trap" on the precessional "micro-trap" first described by Sir Michael Berry and Simon, Heflinger and Ridgway. The macro-trap is generated by a combination of two magnetic "V"s as well as a puller magnet, situated directly above the Levitron. The puller acts like the string of a pendulum.

See also Electromagnetic suspension Electrodynamic wheel Magnetic bearing Electrodynamic bearing Levitron

References

Illustrations

Spin-stabilized magnetic levitation: Drawings from US Patent 4382245
Drawings from US Patent 4382245

Worked examples

Example 1 — a first encounter with Spin-stabilized magnetic levitation

Start with the simplest possible case. Write down what Spin-stabilized magnetic levitation claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Spin-stabilized magnetic levitation 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 Spin-stabilized magnetic levitation 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 Spin-stabilized magnetic levitation

In research
Spin-stabilized magnetic levitation appears in science 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 Spin-stabilized magnetic levitation 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
Spin-stabilized magnetic levitation is common in secondary-school and first-year university syllabi. It links to neighbouring topics Magnetic levitation, Spinning tops, so understanding it makes those chapters shorter.
In everyday life
Look for Spin-stabilized magnetic levitation 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 Spin-stabilized magnetic levitation in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Spin-stabilized magnetic levitation 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 Spin-stabilized magnetic levitation out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Spin-stabilized magnetic levitation in simple terms?

Spin-stabilized magnetic levitation is a phenomenon of magnetic levitation whereby a spinning magnet or array of magnets (typically as a top) is levitated via magnetic forces above another magnet or array of magnets, and stabilised by gyroscopic effect due to a spin rate that is neither too fast, n…

Why does Spin-stabilized magnetic levitation matter?

Because it connects several science 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 Spin-stabilized magnetic levitation?

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 Spin-stabilized magnetic levitation.

Tags

  • Magnetic levitation
  • Spinning tops

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