quantity

rotational energy

The energy stored in an object's rotation, which can be released to power explosions like gamma-ray bursts.
18 related articles

Description

Rotational energy is the kinetic energy stored in an object's spinning motion. For a rigid body, it depends on the moment of inertia and the square of the angular velocity. In astrophysics, rotational energy is a major reservoir of power: a rapidly spinning neutron star, for example, can hold enormous rotational energy that, when tapped, drives phenomena like pulsar winds and gamma-ray bursts. The concept also applies to fluid systems, where rotating flows carry energy that can be converted into other forms.

History

The formula for rotational kinetic energy was established in the 18th century by Leonhard Euler, who formalized the mechanics of rotating bodies. The idea that stellar rotation could power explosions gained traction in the 20th century with the discovery of pulsars and gamma-ray bursts.

How it works

For a solid object, rotational energy is calculated as (1/2) I ω², where I is the moment of inertia and ω is the angular velocity. When an object slows down, this energy is released — often as radiation, particles, or heat. In astrophysical contexts, a spinning black hole or neutron star can lose rotational energy through magnetic fields or gravitational waves, powering some of the most energetic explosions in the universe. The mechanism is analogous to a flywheel: spin it up, and it stores energy; brake it, and the energy comes out.

In practice

Rotational energy is harnessed in flywheel energy storage systems, which store electricity as spinning kinetic energy and release it on demand, and in gyroscopes used for navigation and stabilization.

Fun fact

A neutron star the size of a city can spin hundreds of times per second, storing more rotational energy than the Sun emits in its entire lifetime.

Related articles · 18

The Vortex That Drinks Waves
Water in a tank spins at nearly four revolutions per second, and, as if by magic, a column the size of a dinner table emerges. The vortex lives for dozens of rotations, even though everything around it churns and trembles. Where does such stability come from? The secret is that the vortex is not isolated.
HEP Phenomenology2026-08-061 minarXiv:2608.05698express
How Light Twists an Electron's Spin
A laser beam is like a swift vortex that briefly captures a passing electron. As the particle moves through the pulse, its spin (the intrinsic rotation, like a tiny top) experiences a weak kick. After leaving the beam, the top no longer points in the same direction; it has turned a little.
General Relativity2026-08-032 minarXiv:2608.02742express
How Quanta Carry Away Spin from Stellar Pairs
Two stars circle each other, gradually drawing closer. Their dance loses energy, and that energy escapes into space — in the form of gravitational waves, and sometimes other fields.
HEP Phenomenology2026-07-311 minarXiv:2607.29618express
The Universe Heats Up on Vortices
The early Universe was like a tightly coiled spring. In the first moments, it expanded at an unimaginable rate — a phase called inflation. Usually, this is attributed to a special field, but there's another idea: spacetime itself twists like a spring, and this twisting (in physics, torsion) becomes the engine of expansion.
Plasma Physics2026-07-291 minarXiv:2607.27024express
Spin, Mirror, Spin: A Shortcut to Fusion Energy
The race for fusion energy is like trying to bottle a lightning bolt. For decades, physicists have struggled to recreate on Earth the processes that power the Sun. The main challenge is getting light nuclei to fuse despite their mutual repulsion, while extracting more energy than was spent heating and confining the plasma.
Stellar2026-07-223 minarXiv:2607.19730
Solar Heat Pump: Why the Equator Spins Faster Than the Poles
27 days at the equator, 32 at the poles. Five days' difference, and over a year, the equator gains almost a week. A gas ball 1,4 million kilometers in diameter spins like a layered top: each layer moves at its own speed.
Hidden Invariant — Conductor of the Magnetic Dynamo
Inside planets and stars, in rotating oceans of plasma, turbulent flows, Coriolis forces, and magnetic tension collide. The central question is how the energy of this chaos crystallizes into a stable magnetic framework that can last billions of years.
General Relativity2026-06-121 minarXiv:2606.14405express
How Neutron Star 'Sighs' Give Away Their Secrets
When two superdense stars circle in a tight dance, the space around them shudders. This shudder, gravitational waves, is caught by giant detectors on Earth. But deciphering the signal is tricky: you need to figure out what exactly you're dealing with — a pair of black holes or neutron stars.
General Relativity2026-06-081 minarXiv:2606.09786express
Spin Inside a Neutron Star: How a Vortex of Matter Rewrites the Rules
A neutron star is the leftover core of an exploded giant, compressed to the size of a city. A teaspoon of its matter weighs a billion tons. Inside such a star, particles are packed so tightly that quantum effects start to show. One of them is the intrinsic rotation of particles, or spin.
HEP Phenomenology2026-05-292 minarXiv:2605.31242express
How Neutrinos Flip in a Crowd
Toss a handful of coins on a table: each one lands heads or tails on its own. Now imagine the coins start flipping over, nudging each other. That's roughly how neutrinos behave in a very dense environment.
High Energy2026-05-212 minarXiv:2605.22921express
Magnetic Swings of Neutron Stars
A neutron star is a sphere the size of a city but with the mass of an entire Sun. Its magnetic field can tear atoms apart from thousands of kilometers away. Yet until now, it was a mystery how this field is arranged inside: whether it is twisted into tight ropes or more like neat lines radiating from the poles.
Quantum Physics2026-05-181 minarXiv:2605.19125express
A Tiny Magnet Sneaks Through an Invisible Wall
A tiny magnet levitates in a magnetic trap, like a weightless needle. Its magnetized axis is like a stubborn compass needle that is prevented from turning. An invisible wall rises before it. But in the quantum world, particles can seep through barriers — this trick is called tunneling.
Atomic Physics2026-05-052 minarXiv:2605.03970express
How a Cloud of Atoms Plays Rewind
Sugar dissolves in tea, and then with a single motion gathers back into the spoon. In an ordinary kitchen, you won't see that — viscosity and disorder get in the way. But in the world of ultra-slow motions, where inertia vanishes, such tricks become reality.
Living Crystals Spin on Their Own
A flock of birds or a school of fish sometimes swirls into a vortex, even though no individual commands 'spin.' Such collective rotation helps the group stay together and mix better. It is usually explained by the individuals being asymmetric, like a screw, or pushing each other with a twist. But a new study finds another route.
Quantum Gases2026-04-071 minarXiv:2604.06498express
The Quantum Vortex That Whispers
In superfluid helium, a vortex is like a tornado in a bottle, but instead of water, it's a quantum liquid that flows without friction. Such a vortex doesn't dissipate on its own, so the question of where its energy goes has long remained open.
HEP Phenomenology2026-03-292 minarXiv:2603.28826express
Axions at Neutron Star Poles: A Key to Dark Matter
Neutron stars are the compressed cores of dead stars — city-sized objects with staggering density. Some of these stars become pulsars, cosmic lighthouses emitting strictly periodic radiation pulses.
Stellar2026-01-271 minarXiv:2601.20008express
Why Hot Stars Spin Faster
The Gaia space telescope has measured how fast more than a hundred thousand stars spin. It turns out that a star's rotation speed depends on its temperature. For stars cooler than 6500 degrees, the surface moves at 10–20 kilometers per second.
High Energy2026-01-052 minarXiv:2601.01949express
Cosmic Explosions: The Mystery of the Ergostar Made of Strange Matter
Short gamma-ray bursts are colossal explosions that release, in a fraction of a second, energy comparable to what our Sun will emit over billions of years.