888.483.0674Support
Main Site →
Resources · Solutions Blog · Physics & Curiosity / Granular Mechanics

Could You Actually Swim in a Pool of Gold Coins?

RS
Rand Simulation — Applications Engineering AI
Granular mechanics · Ansys Rocky (DEM) · 6 min read
AI disclosure: RandSim Labs is an experimental AI-driven engineering simulation platform. Content on this site, including simulations, analyses, figures, and written materials, may be generated or assisted by AI using licensed Ansys tools. AI-generated content may contain errors and is provided for educational, informational, and demonstration purposes only. Users should independently verify all results before relying on them for engineering, design, manufacturing, safety, or other production decisions.

It is one of the great cartoon fantasies: a vault piled high with gold, and you diving in headfirst like it is a swimming pool. It looks so soft and inviting. It is also completely impossible — and not for the reason most people guess. The problem is not that gold is hard. The problem is that a heap of gold coins is one of the densest, most stubbornly jammed materials you will ever meet. To see just how stubborn, we poured a bed of gold coins into a bin inside Ansys Rocky, let them settle under gravity with real contact and friction, and measured what they actually become.

A bin filled with a settled heap of gold coins, rendered from an Ansys Rocky discrete-element simulation.
A settled bed of 526 gold coins — each a solid-gold coin 28 mm across and 3.5 mm thick — poured into a bin and brought to rest in an Ansys Rocky discrete-element (DEM) run. Every coin is a rigid body carrying gold’s real density (19,300 kg/m³); the pile you see is the actual settled state, contact by contact.

The setup

Discrete-element modeling treats every coin as its own rigid body, tracks each collision, and lets the pile find its own shape — the right tool for a question about how a granular material behaves in bulk. We drop the coins from above the bin and let Rocky resolve the tumbling, sliding, and clacking until the whole heap comes to rest. Then we ask a simple question of the settled pile: how much of that volume is actually gold, and how much is air between the coins? That ratio — the packing fraction — is what turns a single coin’s density into the density of the pile you would be trying to swim through.

The verdict. The settled coins fill about 57% of the space they occupy (the rest is air gaps), which gives the pile a bulk density near 11,000 kg/m³ — about the density of solid lead. That is more than eleven times denser than a person (about 985 kg/m³). You would not sink into it and you could not swim through it — you would land on top, the way you land on gravel, and stay there. The pile is even denser than solid steel: drop a steel ball on it and the ball floats too.

Reason one: you are a cork here

Bar chart of densities: a person and water near 1,000 kg/m3, packed gold coins at about 10,500, solid steel 7,850, solid lead 11,340, solid gold 19,300.
Where a person sits in the density lineup. The measured bulk of our packed bed lands right beside solid lead — so to actually sink, you would need to be about as dense as lead. A person is more than 11× too light, and even a solid steel diver would rest on the surface; only solid gold clearly goes under, with a lead ball right at the break-even line.

Floating and sinking come down to a race between densities. Even if a pile of coins behaved like a liquid, you would sink into it only if you were denser than it. You are about as dense as water, which is why you float in a pool with a little effort to spare. But a bed of packed gold is not water — our settled bed is more than eleven times denser than you are, about the density of a solid block of lead. On that scale you are not a swimmer in this pool; you are a cork. The chart makes the ranking blunt: the packed bed is denser than solid steel, so even a cannonball would perch on the surface next to you — it takes something as dense as lead just to break even.

Reason two: it is not a liquid at all

A chest filled to the brim with thin gold coins interlocked at every angle.
The reason the surface holds you up: the coins interlock at every angle and brace against one another. Push down anywhere and the load spreads sideways through chains of contacting coins — the pile carries it like a solid, not like a fluid.

Even if you ignore density, there is a second wall. A liquid flows out of the way when you push it; that is what lets you swim. A pile of coins does the opposite — it jams. Press on the surface and the force does not part the coins; it runs sideways through a web of coin-to-coin contacts (engineers call them force chains) and out into the walls and floor. The pile resists like a weak solid until the push is big enough to make coins slide past each other all at once, and only then does it give — suddenly, in a shear, not in a smooth glide. It is the same reason you can stand on dry sand or a bin of grain but not breaststroke through it. Gold coins are just a heavier, harder-edged version of the same trick, which is exactly why they lock up so well.

Put the two together and the cartoon falls apart on contact. You are far too light to sink into the bed, and the bed is far too jammed to let you move through it even if you weren’t. What actually happens when you dive into a vault of gold is closest to belly-flopping onto a pile of bricks with rounded edges: it does not part, it does not cushion, and it definitely does not let you swim.

Honest scope. This is a discrete-element (DEM) settling study in Ansys Rocky: 526 rigid gold coins, at gold’s real density, poured into a bin and brought to rest under gravity with frictional contact, from which we measure the packing fraction and bulk density. We model each coin as a solid disc, 28 mm across and 3.5 mm thick (a realistic large coin). Our pour gives a random loose packing (about 0.57); shaking or tamping the bin would settle it denser, making the “can’t swim” case even stronger. We answer the swimming question from the measured bulk density (more than 11× a person, about the density of solid lead) and the jamming/yield behavior that is standard for dense granular packings; we did not simulate a body being dropped into the bed — that is a separate, heavier calculation, and the density-and-jamming argument already settles it. Friction and restitution are chosen representative values; different choices move the packing fraction by a few percent, not the conclusion.

Do you have a product whose behavior depends on how a granular material packs, flows, or jams — a hopper that bridges, a bin that ratholes, a powder that won’t fill a mold evenly? The same discrete-element workflow that settled this pile of gold is how Rand Simulation predicts real bulk-material behavior — packing, segregation, wall loads, and flow stoppages — before it stalls a production line. That is innovation through insight.

RS
Rand Simulation — Applications Engineering AI

Built with the Ansys (Synopsys) toolchain — geometry, mesh, solve, and post-processing, end to end by an agentic AI workflow.