Transcript
16Ci_2bN_zc • How Dangerous is a Penny Dropped From a Skyscraper?
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Kind: captions Language: en what would happen if you dropped a penny off the Empire State Building could it kill someone walking on the sidewalk below what does it take to create a deadly projectile oh I'm gonna put this to the test with original mythbuster Adam Savage he's going up in a helicopter to throw pennies at me no one hasn't heard that story when you talk about it people like oh yeah the penny from the Empire State Building and when we went to the Empire State Building every ledge below the observation deck is filled with change I just love the idea of all these people they're not murderers but they're like it's probably not true they're like throwing pennies over the side think it's probably not true a penny weighs around two and a half grams which is about half to a quarter the weight of a bullet if you ignore air resistance a penny dropped from the Empire State Building which is 443 meters to the very top would accelerate to over 300 kilometers per hour by the time it hits the ground that's around half as fast as a typical bullet The MythBusters made Contraptions to shoot pennies at each other Stephen Colbert shot me in the ass with it a few times how did it feel it's a baseball pitcher throwing a penny hard at you yeah it'll stay but they never tried the ultimate test dropping Pennies from the height of the Empire State Building onto someone below and that's what we're gonna do here with Adam that'd be great watching it bounce off your body yeah yeah I say this thinking it's always been my body up till now first one I'll drop the pennies we'll see if we're even gonna land you're going to walk there and I'll throw a second one that's good for you yeah and then you're ready for the the full dump yeah I'm going underneath the helicopter where Adam Savage is gonna drop a whole bunch of pennies on me I know I agreed to do this and I didn't think I'd get hurt but as I'm walking out onto the helicopter I started to think no one has actually done this we planned for pennies falling through still air but the helicopter creates a huge downdraft to support its weight I hear them landing around I start to imagine pennies gouging into my shoulders you can see how tense my body looks ah one hit my helmet and three two one that hit my shoulder ah that's really good and three two one they feel like tiny little bullets I feel like I'm gonna be bruised after this oh boy okay come on board here we go doing the whole thing and three two one [Music] [Applause] [Music] [Applause] [Music] unbelievable there you have it a penny dropped from the Empire State Building is not gonna hurt I mean it hurts a little but not a lot you'll be all right that was great I saw little dust clouds all around you amazing tell me what it was like down here I was terrified I got out there and the rotor watch is so heavy I'm like maybe we haven't we haven't calculated for rotor wash it stung to get hit by pennies falling that far but it certainly wasn't fatal so why aren't pennies more dangerous well the reason is air resistance the two up here and hopefully they'll hit the ground at the same time take the classic experiment of a hammer and feather dropped simultaneously on the moon in the near vacuum of the moon's surface both objects speed up at the same rate due to the moon's gravity and they're both still accelerating when they hit the ground at the same time repeat the experiment on Earth and of course the hammer lands way before the feather if you watch the feather closely you'll notice that it doesn't speed up as it falls for most of its Journey it's moving at a constant speed known as its terminal velocity terminal velocity is reached when the force of gravity pulling an object down is equal to the force of air resistance pushing it up in this case which object the hammer or the feather experiences a greater force of air resistance well I bet most people would say the feather because its motion is clearly affected by drag but the answer is actually the hammer air resistance is proportional to speed squared and the hammer gets going much faster than the feather so it experiences the larger force of air resistance but its weight is so much greater that drag is negligible in comparison and that's why the hammer keeps speeding up while the feather reaches terminal velocity early and just stays at that speed it all comes down to the ratio of weight to air resistance every object has its own terminal velocity the maximum speed it will reach in free fall through still air and I went indoor skydiving to experience this firsthand that was so amazing that was totally wild objects that have the same size and shape experience the same air resistance but if one is heavier here I've got two identical balls but this one has water added to it so it's heavier then it has a higher terminal velocity so it doesn't float at the same wind speed as the lighter object conversely some objects are very different in size and shape like a person and a lacrosse ball and obviously they have very different weights but they also experience very different forces of air resistance and the key thing is that the ratio of their weight to air resistance is the same for both bodies so they have the same terminal velocity which means they will both float together in the tunnel if you transported the skydiver and lacrosse ball to the stratosphere they would continue to fall together but their joint terminal velocity would be much faster in 2012 Felix Baumgartner jumped from a helium balloon 39 kilometers above sea level after just 40 seconds of Free Fall he reached a terminal velocity over 1300 kilometers per hour it was 25 percent faster than the speed of sound making him the first person to break the sound barrier outside of a vehicle what allowed him to do this was the lack of air at that altitude air resistance is directly proportional to the density of air you're moving through and at that altitude the air is 60 times less dense than at sea level as he continued falling into thicker atmosphere the increasing air density reduced his terminal velocity and by two and a half kilometers above sea level he had slowed to 200 kilometers per hour at which point he opened his parachute now rain also falls kilometers but through the thicker air of the troposphere one of the coolest things in the Wind Tunnel was to see water floating the poured from a jug it quickly breaks up into droplets the same size as raindrops from around 0.5 to 4 millimeters in diameter and standing there you can experience what it would be like to fall with raindrops [Music] they have a low terminal velocity of just 25 kilometers per hour and that's what the wind speed was set to for this demonstration and what you can see is that raindrops aren't shaped like cartoon raindrops they are closer to spherical but a bit flatter on the bottom where they encounter oncoming air if a raindrop gets too big it flattens out caves in in the middle and briefly resembles a little parachute before breaking up into smaller droplets so raindrops aren't damaging but it's a different story for hail [Music] every year in Hale injures around 20 people and since 2000 it's caused four fatalities that's because hail can reach terminal velocities of over 200 kilometers per hour that's around 10 times the terminal velocity of rain but why is its terminal velocity so much higher even though ice itself is slightly less dense than liquid water the main thing is that hail can get much bigger than a raindrop hailstones have been measured up to 20 centimeters in diameter now drag is proportional to cross-sectional area so it scales with radius squared whereas weight scales with radius cubed so the bigger the Hailstone the faster its terminal velocity it also has more mass so it carries even more kinetic energy and packs a bigger punch when it hits something pennies reach terminal velocity after falling only around 15 meters you can see in this shot the average speed of the penny is in the top of the frame is the same as at the bottom of the frame they aren't speeding up they've reached terminal velocity so it wouldn't matter if pennies were dropped on you from 15 meters or 300 meters or 3000 meters it would feel the same because they would be going the same speed in fact we didn't take the helicopter all the way up to Empire State Building height because that wouldn't have increased the speed of the pennies at all and it would have just made aiming much harder by the end I'm throwing to account for this secondary air current that's moving between you and the helicopter and so the pennies are making this like 12 foot Arc all the way over and then coming back one of the reasons pennies are so hard to aim is because they flutter and Tumble as they fall this tumbling Behavior means pennies don't actually have a single terminal velocity a penny actually has two terminal velocities and it oscillates between them so it's got one on its face and one on its Edge I've got a wind tunnel that can show you exactly how that works it's really beautiful well I gotta see that yeah it's really neat throw to that Adam built a custom wind tunnel to witness this for himself so I went to San Francisco to his cave to check it out this is literally like my MythBusters origin story this device I'm so delighted to fire this up again it's like looking at a piece of piece of History how old is this 19 years old now it's old enough to drive and vote but not during there's people watching this video you know yeah weren't alive when we were making this because of the holes which allow air to escape this wind tunnel has a gradient of wind speeds from around 100 kilometers per hour at the bottom up to 25 kilometers per hour at the top this creates a little bit of back pressure the pops the tongue depressors up here and that back pressure is relieved by these holes enough so that the penny spins if a penny really has two different terminal velocities it should oscillate up and down in this wind tunnel as a result there you go that's amazing to see it oscillate right I know the fact that it goes up and down and it comes back up again yeah oh wow yeah it's just like honestly it was just hanging out like that when in 2003 I dropped the penny in the top and it went up and down like I'm still every single time I tell that story I get goosebumps because I remember that feeling of like oh wow we made a separate video on Adam's channel that discusses the wind tunnel in more detail so check it out after this so the reason pennies aren't dangerous is because their terminal velocity is at most about 80 kilometers per hour yeah it's not going to hurt you that's bust right like old habit but something more aerodynamic would have a higher terminal velocity and this has led some to suggest ballpoint pens falling from a skyscraper like the Empire State Building could be lethal but supposedly yeah a pen a ballpoint pen is as dangerous as a penny is mythically dangerous yeah yeah like that is meant to actually be lethal it's worth really trying these pens weigh about twice as much as a penny and they have a smaller cross-sectional area so this will increase the ratio of weight to drag but will it be enough now because I'm not sure what will happen I'm not putting my body on the line for this one instead we'll use a ballistics gel dummy here we go and three one three two one oh very close very close here we go three two one oh oh almost okay three two one oh almost three two one okay last one three two one oh almost not getting it the second to last drop we had almost no Crosswinds at all so they dropped perfectly down and kind of hit right below where we were and they were all cattywampus if the myth was true I would expect to see this everywhere right right that's what I would expect to see and I don't see a single one and I didn't after we dropped them all are you gonna call it I wow I will sure I'll come back out of retirement to say busted pens are not dangerous falling from tall objects ballpoint pens with their caps off yeah narrow metal pens might still be dangerous but these plastic ones still seem to have too much drag relative to their weight for them to achieve a high terminal velocity one of the curious things about air resistance is that it depends not only on the cross-sectional area of the object but also on its overall shape this dependence is captured in a dimensionalist number known as the drag coefficient the drag coefficient is all about how smoothly air can flow around an object and without creating vortices the word from the French bull meaning ball so a bullet is a small ball exactly what the earliest bullets were but the drag coefficient of a sphere is 0.5 so people modified the shape to reduce drag and eventually they settled on the modern bullet shape which has a drag coefficient between 0.1 and 0.3 so drag coefficient is the reason a bullet is no longer a bullet so what would happen if you dropped a bullet from a skyscraper not what you'd expect instead of falling pointy side down a bullet would tumble and likely end up falling on its side the thing is that cylinders tend to fall on their sides if given enough chance really but the object falls in relation to the highest resistance it chooses it ends up finding the highest resistance that's the most stable why doesn't it fall in lowest resistance nothing is intuitive bullets if you let them they'll fall and make bullet shaped holes on their side a bullet fired straight up slows down as its kinetic energy is turned into gravitational energy and at its highest point which could be up to three kilometers high it stops and then falls back down at that moment it's just like dropping a bullet from a really tall building as it starts to fall it will tumble and so it experiences far more air resistance than on the way up and so it's not going to get back a lot of that energy that went into its height which means that by the time it reaches the ground it will be much slower than it was shot now if the bullet isn't fired completely vertical then it poses much greater danger at the peak of its trajectory only the vertical component of velocity is zero it still maintains its horizontal velocity and that combined with the spin and parted to the Bullet by the grooves inside the gun barrel keep it moving pointy end forwards and so as the bullet comes back to the ground it speeds up to a significant fraction of its launch speed there are hundreds of cases of people being struck and killed by celebratory gunfire from all over the world now this is accidental but the concept of dropping deadly projectiles on enemies is almost as old as aircraft in World War One these little pieces of metal were dropped out of planes they look like nails with little feathers on the back to make sure they fall straight they're called fleishettes which is French for little arrow but somewhere up to 15 centimeters long that is great I totally want to make a thing that shoots these Dart a little heavier than a standard Pub Dart and there were like endless different shapes from a military perspective the advantages were they didn't require any explosives and they were cheap to produce and deploy at scale they could Pierce helmets leading to enemy casualties and some nasty injuries they found darts that had gone through a rider and his horse that's insane but I also just love the idea of a guy in an open cockpit cloth and wood plane just hurling handfuls of dart's house that is like a 10 year old's idea of warfare right then I'm gonna hit him with darts later the U.S created similar weapons called lazy dogs which were a bit heftier used in the Korean and Vietnam Wars the damage they inflicted was indiscriminate and unpredictable but at least they didn't leave unexploded ordinances in the field and militaries continue to use kinetic projectiles to this day for example to make Precision strikes on terrorist leaders falling objects are also dangerous in civilian life nearly 700 Americans die each year by being struck by a falling object these range from loose tiles and Bricks to Falling construction tools Falling Rocks and tree branches and even icicles death by icicle is rare but they were a serious enough concern that in the winter of 2014 streets around New York's One World Trade Center were closed due to the danger caused by icicles hanging on the building so which projectiles are lethal and which aren't honestly a lot of them are the lower limit of the energy required to fracture a human skull is around 68 joules so anything that has kinetic energy greater than that is very likely to kill you a raindrop at terminal velocity with its tiny mass will only deliver two thousandths of a joule a falling penny has about a fifth of a joule but a baseball and the largest Hailstone measure deliver more than 80 joules that is plenty to crack your skull in 2014 a man was killed when he was hit by a falling measuring tape that had fallen 50 stories and this is just calculating for blunt force trauma the energy stored in a falling Flay chef is not enough to crack your skull but it can apply a large Force to a very small area so yeah a penny falling from the Empire State Building won't kill you a pen likely won't either anything that weighs a few grams and isn't aerodynamic isn't going to be fatal but objects that weigh more than a few hundred grams traveling at terminal velocity are likely to be deadly you have made it to this part of the video which means you like learning stuff and I want to tell you one thing that will help you learn even more right now for free you can get started with my favorite learning tool and the sponsor of this video brilliant by going to brilliant.org veritasium link in the description so why should you try brilliant well because it allows you to learn a wide range of stem Concepts in an interactive way they have advanced topics like calculus and 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