Three Hundred Fifty-Four Fireworks per Second — Chad M. Topaz
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Essay
Three Hundred Fifty-Four Fireworks per Second
Organizers promise 850,000 fireworks in roughly 40 minutes over the National Mall this Saturday. I did what a mathematician does with a big number: I divided. It did not make the show look better.
July 2026
This Saturday night, the capstone of America’s 250th birthday celebration on the National Mall will close with what its organizers bill as the largest fireworks display in history: 850,000 shells launched from ten sites — the Lincoln Memorial Reflecting Pool, eight barges anchored in the Potomac, and West Potomac Park — in a show running approximately 40 minutes. Meanwhile, The Washington Post reported this week that the National Park Service’s own internal modeling expects the show to produce hazardous air pollution around the Mall and “very unhealthy” conditions across downtown D.C., Arlington, and Capitol Hill.
I will get to the smoke. But I am a mathematician and data scientist, and when a press release hands me a number like 850,000, professional habit takes over. I divide.
Eight hundred fifty thousand fireworks in 40 minutes is 21,250 fireworks per minute. It is 354 fireworks per second. It is one firework, on average, every 2.8 milliseconds, sustained for two-thirds of an hour. At the average rate, ten seconds of this show contains roughly 3,500 fireworks — a respectable grand finale for a midsized American city, repeated 240 times in a row.
Rates like this are hard to grasp until you put them next to the human body, so let me try. Harvard’s BioNumbers database puts a typical blink at 0.1 to 0.4 seconds. Every time you blink on Saturday night, you will miss between 35 and 142 fireworks. Film the show on your phone at a standard 24 frames per second, and each frame will capture about 15 fireworks you have not yet seen; at 60 frames per second, six. And if the launches were spaced perfectly evenly, the firing rate would no longer be in the realm of countable rhythm; it would be in the realm of pitch. The F above middle C vibrates at about 349 cycles per second. The show averages 354 events per second. Nobody on the Mall will experience this as fireworks going off one after another in any ordinary human sense.
The physics of sound arrives at the same place. The National Weather Service teaches the rule of thumb that thunder takes about five seconds to travel a mile. In the 2.8 milliseconds between this show’s average launches, sound travels roughly three feet. With ten launch sites strung along a couple of miles of Mall and river, each throwing its own overlapping impulses, the arrivals will not land as distinguishable booms. They will smear into a continuous roar with no silence inside it.
Perhaps you are thinking that Mall fireworks are always excessive, and this is a matter of degree. The data say otherwise. A typical Fourth of July show on the Mall, per the Post’s reporting, lasts 17 to 25 minutes and uses about 20,000 fireworks, which works out to 13 to 20 fireworks per second. Saturday’s show would run at 18 to 27 times that pace. This is not a longer show. It is a different category of event wearing a fireworks show’s clothing.
The comparisons keep failing upward. Guinness lists the largest fireworks display on record at 810,904 fireworks over a little more than an hour, an average of about 220 per second; Saturday would beat the record count while firing about 60 percent faster. NBCUniversal says the 2026 Macy’s show — the 50th anniversary edition of the marquee fireworks broadcast in America — will use more than 85,000 shells across 27 minutes. Saturday’s plan is ten entire Macy’s shows. Five minutes at the average rate — 106,250 fireworks — would exceed Macy’s full count on its own. And spreading the launches evenly across the ten sites does not tame anything: each individual site would still average 35 fireworks per second, roughly double the pace of an entire ordinary Mall show. Ten of those, at once, for 40 minutes.
I want to be careful with the noise question, because it invites bad math. Decibels are logarithmic; you cannot multiply one firework’s loudness by 354 and report the product. Here is what can be said responsibly. The National Institute on Deafness and Other Communication Disorders places fireworks shows at 140 to 160 dBA — above sirens, in the range associated with impulse-noise hearing risk — and NIOSH’s exposure guidance halves allowable exposure time for every 3-decibel increase. An ordinary show delivers...