If volume and weight are both calculated as 1 unit, when a cube is made 1 x 1 x 1 when accounting for its length, width, and height, and 1 when accounting for its weight, the entire cube is in equal proportion; a concept referred to as a “unit cube” called as such because each of its dimensions (e.g. height, width, length etc.) are 1 unit in length. This changes however when doubling the cube in size and weight. When doubling the cube to 2 x 2 x 2 when accounting for its length, width, and height, the weight does not move in lockstep, because it becomes 8x (2 x 2 = 4 x 2 = 8). This fundamental mathematical principle referred to as the Square Cube Law, explains why as animals become bigger on land, life becomes exceedingly difficult because of the need to maintain and support the large weight associated with such large stature. As animals become more massive, the effect of gravity places an increasing role in their lives. The shape and form of the body is forced to change. Bones become more massive to scaffold their large bodies. This is why the largest animals on the planet are found within the Earth’s oceans as being within water is a way to circumvent this outcome and helps explain why as animals become larger upon land, life becomes exceedingly difficult because of the need to maintain an appropriate structure and weight associated with such large sizes. This principle also explains why the concept of a giant (e.g. mythology etc.) is physically problematic as if a human being were scaled up proportionally to twice their normal height, their volume and weight would increase 8x, whilst the strength of their bones and muscles would not scale at this same rate. The result would be a life form whose own mass would overwhelm its skeletal structure, making movement, balance, and even basic survival virtually impossible without some form of environmental and/or structural intervention and compensation
Tag: weight
The Reason Icebergs Sink Ships
The reason that an iceberg is able to cut into the side hull of a ship (e.g. Titanic etc.) or any other marine vessel is dual fold. The first reason is because steel becomes more brittle, the colder it gets. Steel created during the early 20th century was not tempered as steel is during the modern day. The second reason is because of inertia, weight, and force. An iceberg can slash through steel the same way a tree can rip through a vehicle that has hit it. An iceberg is a large, immovable object, so whether the hull is comprised of wood or titanium, the ice will always win out as it has more inertia and mass. To provide a frame of reference, bone is incredibly strong and tensile, however if a brick which is harmless while at rest, slams down from a height above the arm, the force it imparts is enough to break said bone
The First Person to Weigh the Atmosphere
Italian Jesuit Evangelista Torricelli was able to definitively prove that the atmosphere has a specific weight by designing an experiment in which a tube is filled with mercury and then placed into a dish of mercury. Torricelli disovered that when performing this experiment, half of the mercury runs down into the dish and the other half stays within the tubing. Until this point, it was believed impossible to create a negative or empty space as the Ancient Greek philosopher Aristotle once stated, “nature abhors a vacuum” believing that nature would forever fight against the creation of true and pure nothingness. This is the same reason that an object (e.g. plastic straw or an oil drum barrel etc.) crumbles when all of the air within is extracted. Torricelli was able to overcome this phenomena by using the exteme weight of mercury within a ridged glass tube. The level of mercury left within the tube was a measurement of the weight of the atmosphere, a balancing act between the weight of the mercury and the weight of air pressing down upon this mercury, balancing each other out like scales. Torricelli famously stated, “noi viviamo sommersi nel fondo d’un pelago d’aria” which means “we live submerged at the bottom of an ocean of air” in Italian, and his findings made scientists realize that air was a substance for the first time. Torricelli became the first person to invent the barometer because of his understanding of atmospheric pressure. Despite Aristotle being believed to be correct for millennia, Torricelli definitively proved that air does have weight
The Mathematics Behind Why Rockets Can Escape The Gravitational Pull of the Earth
Robert Goddard’s liquid rocket never reached the 3 kilometer mark because of Tsiolkovsky’s Rocket Equation named after Soviet scientist Konstantin Tsiolkovsky (pronounced “con-stan-tyin tsel-kov-skee”). This equation states that as fuel increases for faster and further voyages, so too does the weight, becoming increasingly heavy as more and more fuel is added. Tsiolkovsky took into account the velocity of a rocket alongside its mass of payload, mass of fuel, and the mass of the rocket itself. The longer the engine burns, the more velocity the rocket will have, however longer burning means more fuel which adds weight and makes it more difficult to push upwards. To travel fast enough to deliver a rocket to space, most of the craft must be fuel. Scientists have battled with this question for decades and although mathematical constructs have been developed to explain the relationship between weight and thrust, no one has yet to develop an idea to get around this problem with currently available technologies. The equation developed to explain this limitation of space travel is ΔV^R = V^E * ln((M^P + M^F + M^R) / (M^P + M^R)). This effectively states that only a tiny portion of a rocket can be used to deliver payload, with notable cases being the Apollo missions which employed enormous rockets to carry just a few small astronauts and the things they needed into space. Tsiolkovsky theorized this in the beginning of the 20th century as his calculations demonstrated that kerosine wouldn’t be enough to go from the Earth to the moon with a single craft
Super Mario’s Super Human Jumping Capabilty
The Nintendo mascot Mario has a vertical jumping range of 11’5” within his own world which equates to 27’ upon Earth as Earth has a different gravitational pull than that of Mario’s world. Mario is capable of leaping 2.25x his own body height however his exact agreed upon height when converted to a real world measurement is unclear. Statues erected of Mario tend to be 4’10” – 5’1” in length and Nintendo has stated that Mario’s official height is in fact 5’1” however different video games portray Mario with a varying degree of physical characteristics (e.g. height, weight, speed etc.). Mario falls back down to the ground within 0.3 seconds of his take off which means that the gravitational pull of his fictional world is 8x stronger than the gravitational pull of Earth. If this world were physically real, Mario would need to have legs powerful enough to allow him to jump at a speed of 22.2 meters per second, an incredible feat of physical prowess as the average person standing upon the Earth is only able to jump at a rate of 2.24 meters per second, resulting in an almost 10x difference in terms of Mario’s physical capabilities to that of a typical human being
The Bulking Agents Used in the Saffron Spice
Because saffron is so expensive it’s often mixed with other plants which are not actually saffron but are closely related to saffron to build up the bulk of the weight of a purchase. Turmeric is a primary example of a plant often used to help bulk up supplies. Distributors also use plastic as it helps add weight and eye appeal whilst actually providing nothing more than visual esthetics. Scientists can perform deoxyribonucleic acid examinations to determine if a sample is actually pure saffron or not. High quality saffron should have a humid scent which indicates that it was picked fresh. If the scent of saffron is slightly rancid, it means that it is old or of low quality