Hope everyone had a great Thanksgiving. We hosted here, with lots of family, two turkeys (not family) and lots of other good food. I made one of the turkeys this year, and it turned out pretty good. How did my book launch go, you ask? My answer: Not great. Maybe I'm wrong, but it looks like my promo ads underperformed. I base that on being able to track purchases through Amazon attributions, revealing what came from FB ads versus promos, and then one of the promo companies being kind enough to send me feedback on the reality versus their expectations. Beyond sales, I came out of the first week with 6 ratings and 2 reviews on Amazon, which might be the worst rating/review count I've ever had on a release. With this book having my highest ARC count, I was surprised to get so little feedback. But maybe it is just a matter of time, and I will see that go up. Of the ratings, I have seven 5-star and one 2-star (with no review for the 2-star, so I can't even tell if someone was expecting a romance and bought the wrong book). Strangely disappointing, but maybe I should show a little patience. Let's dive into some phyzixs!Okay, so lets dive into some magic mixed with physics. Why? Because I can't just wave my hands and say, "Because it's magic." I mean, the physics has to work too, right? If you don't care about physics at all, you probably should skip this entire section. So, in a segment of Book 3, our intrepid heroes have to do some deep diving. How does magic help? Well, the Salts, who work water magic, can wrap a bubble of air with water, like having a little oxygen tank to cart along. No problem, right? Just put a bubble of air around their heads and off they go! Well, Archimedes' principle states that the buoyant force of something is equal to the weight of the displaced fluid (in this case, water). So how much air do we need, and how much force does that create? Could one actually dive with a bubble of air around one's head? When exerting oneself, as per this dive, a person breathes about 40 to 60 breaths per minute, which is about 100L of air. Diving is really much faster than I thought, and, of course, those folks free-diving are not breathing under water, so our Salt divers just go for it. But our non-Salts need help. Clearly, providing them help in the form of air bubbles would slow them down (because they have to fight against that buoyant force), so they're not doing 10-20 second free diving. Lets say it takes them a minute, so they'll need 100L of air (each). 1 cubic foot of air is 28.3L, so to get the 100L of air for a survival trip, we need 3.53 cubic feet of air. The formula for volume of a sphere is: V(sphere) = 4/3 * pi * r^3. So, for the 3.53 cubic feet of air, we need a ball about 11.4 inches in radius, or 23 inches across. Let's say two feet (or 4.2 cu ft of air, or 118L). So lets get back to how much force is on that bubble of air. Here's the buoyant force formula: F=ρ⋅V⋅g, where ρ is the density of water (1000kg/m3), V is the bubble volume, and g is the gravitational constant, 9.81m/s/s. So, about 1167 newtons of force push that air up, or 262 lbs. So, if our Salty friends attached an air bubble to our main characters, would they be able to dive? No. The air bubble for the amount of air they would need would keep them from ever sinking. So what are we gonna do? Naturally, the Salts have a not-so-user-friendly solution. Instead of attaching the air bubble to someone's head, they can attach it to a rock... a roughly 262 lb rock. Now you've got a more-or-less weightless (in an underwater sense) ball of air. Yes, the dimensions of the air bubble change when you stick a boulder in the middle. A 262 lb spherical chunk of basalt is 1.44 cubic feet (about 42L), which is about 17 inches across. That makes the air bubble about 2 inches wider in diameter. So if you're a diver, holding that basalt boulder (if 17 inches can be called a boulder), you've got air sticking out about 5 inches away from that rock. It's relatively weightless, so its manageable to start diving down with it, holding your mouth close enough to take a breath. But what happens as you dive? Boyle's law says that P1 x V1 = P2 x V2. So if they have to dive down about 400 ft, the volume will decrease by 12! Uh oh. As you might suspect, the boulder is not a gas, so it doesn't shrink. The air bubble at that point extends about an inch past the boulder. So our heroes are kissing the boulder to get air at the bottom of their dive. Not only that, but let’s look back at Archimedes' principle. Our volume decreased, so the displaced water decreased. The result is that the upward force is less. Meaning the rock got heaver as they went down. The buoyance is pushing up at about 110 lbs at the bottom of their dive, and the rock is 262 lbs, so they're carrying 150 lbs at the bottom. Crazy, right? Stupid physics... making the story so difficult. Maybe next week we'll talk about a society stuck on one side of an osmotic membrane and the mental gyrations to make that work. Probably not, so don't fret. Guardian League Book 2 CoverThe new cover for book 2 of Guardian league should roll out soon. I'm flashing it here. All books by Steven J. Morris Indie Author ShowcasePrevious Newsletters
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