← Back to Library

How to measure the tiniest forces in the universe

The Kilogram Problem

The piece opens with a visual only a video can provide: tiny weights, some as small as an eyelash. Muller explains how the traditional kilogram works — a platinum-iridium cylinder stored in a vault on the outskirts of Paris. "The most precise standard weight people ever created was the kilogram of platinum iridium cylinder," he says, describing what scientists have used for over a century to calibrate scales worldwide.

But here's where it gets interesting. The uncertainty of that standard is about tens of micrograms — which Muller describes as "tens of parts per billion or about 0.00001%." That's incredibly precise. But there's a catch: if you want to measure something lighter than a kilogram, the uncertainty balloons. The smallest conventional masses are milligram weights made of stainless steel, and even handling them requires meticulous care — lint brushes, dust-free cloths, everything cleaned before each weigh.

How to measure the tiniest forces in the universe

A Physical Problem

Muller makes a crucial observation that reveals why metrology matters: "if you're working in a laboratory or something like that you could take one of these little weights and put it on here and you can look at the scale." The problem is that as you subdivide from kilogram to milligram, each step adds uncertainty. A 500-milligram mass might compare fine against two 200s plus a 100 — but go smaller and the errors compound.

The piece's most compelling section comes when Muller explains why this matters: "the replica kilograms were brought back to Paris a few times to be weighed with each other and from those measurements it became clear that their weights were diverging by up to 75 microgram." No one could tell if the replicas were getting heavier or the original lighter — but the definition was becoming unstable. This is why scientists redefined the kilogram based on Planck's constant, a universal constant of nature rather than a physical artifact.

"This measures Force the most accurately in the world I'm confident in saying that"

The New Machines

The electrostatic force balance (or EFB) represents the cutting edge Muller showcases. Located underground with air temperature held at exactly 20°C to avoid thermal expansion, this lab creates vacuum conditions so no air currents or buoyant forces interfere. They even carefully measured the local gravitational acceleration — 9.81 m/s² — under the floor.

The Kibble balance compares gravitational force against electromagnetic force using a capacitor system. The electrical quantities can be read with extraordinary precision and traced directly to Planck's constant, giving what Muller calls "direct traceability." This is metrology's holy grail: measurements that connect all the way back to universal constants.

But Muller goes further — into atomic force microscopy. These tiny cantilever beams with sharp tips apply nano- to pico-newton forces. A pico-newton, as he notes, is about enough to stretch a DNA molecule. The laser sensor measures just seven pico-newtons of force — sufficient to pull apart single molecules.

Why It Matters

The piece's strongest move comes from answering its own question: "why does anyone need to measure forces this small?" Muller lists concrete applications: automotive manufacturers needing 50 micrograms of particulate measurement for emissions standards; pharmaceutical companies requiring milligram and microgram doses; laser power calibration in industrial processes. These aren't abstract concerns — they're practical problems driving real innovation.

But the deeper answer is more interesting: "the scientific new scientific discoveries benefit from the new measurement capabilities which then feed into new Precision Metrology capabilities." This circular relationship — better measurement enabling discovery, which creates even finer instruments — is what Muller identifies as the heart of metrology's value. It's not just about precision for precision's sake; it's about pushing science forward.

Counterpoints

A critic might note that this piece focuses heavily on demonstration rather than explaining why these measurements are actually used in everyday products. The applications mentioned (ex emissions, pharmaceuticals) are named but not explored in detail. Similarly, the explanation of Planck's constant and its relationship to mass is brief — viewers familiar with physics may want more mathematical depth.

Bottom Line

Muller delivers what he promises: a tour through how we measure the tiniest forces, from kilogram standards down to pico-newton sensors. The strongest element is his narrative arc — showing that measurement precision isn't abstract but drives real scientific discovery. The vulnerability is that the piece sometimes prioritizes demonstration over explaining practical applications; viewers may wonder after watching what these measurements actually enable. For anyone curious about how science gets more precise, this serves as a strong introduction to metrology's deepest questions.

Deep Dives

Explore these related deep dives:

Sources

How to measure the tiniest forces in the universe

by Derek Muller · Veritasium · Watch video

this is 10 micrograms you think that I might be able to see I think you might be able to oh boy it's an arrow right there yeah the flashlight will help I feel like I need to get video of this I don't know how it kind of looks like a hair like a tiny like a smaller than an eyelash if you want to measure a force like the weight of an object the way it has always been done has been to balance it with some known standards and the most precise standard weight people ever created was the kilogram of platinum idium cylinder stored in a vault on the outskirts of Paris replicas of this kilogram were sent to countries around the world to use as their Mass standards here is K20 the United States Mass standard and yes the US is secretly metric they just apply a conversion factor to get to Freedom Units it's just a little translation that we do here but our country is actually on the metric system doesn't that seem crazy yes it's stupid the uncertainty in the mass of a standard kilogram is on the order of tens of micrograms so that's tens of parts per billion or about 0.00001% it's pretty good but there's a problem if you want to weigh something lighter than a kilogram the uncertainty increases this little object here is a 50 g test weight so it's a reference Mass can I pick it up with tweezers yeah if you don't mind sure we tried to keep the fingerprints off so it's got a little bit of heft you can feel that a little yeah what about this one what's this is 10 G here yeah that's pretty light that's pretty light and paper clip here is about 1 G and so how you might use one of these test masses so if you're working in a laboratory or something like that you could take one of these little weights and put it on here and you can look at the scale and say oh okay my scale is reasonably well calibrated here that last digit might change a little bit but you could sort of make some statement about whether or not your scale is accurate when we're talking about the kilogram these are obviously much smaller than a kilogram how do we ...