#relation in math

[sleepy-bebby]

[karvviie]

usagi grif see my vision

[baba-the-yagaa]

Explaining a beautiful mathematical concept and the person asks for the real world application like bitch first off the real world application is it makes me personally ecstatic and second it doesn't need one because it's my special little princess concept

[my-autism-adhd-blog]

Me when I do math

Funny ADHD ASD Memes

[midnightfairy1]

Do Borrowers Actually Take Fall Damage? (calculus/physics answer)

hey guys! sorry I haven’t been active lately, but im about to finish up my finals so give me one more week before I start posting religiously. I just wanted to share with you some calculations I discovered during my studying for the Physics C AP Exam, with which I am expecting to interest borrower fanatics.

I am very proud of figuring this out and hope you guys find this as entertaining as I did! (By the way, I suggest scrolling to the bottom for the answer if you don’t want to read through all my math, although the math can also be interesting if you want it to be! 😁)

First, I found myself wondering something: If ants are so light that their is no height they could fall from in which they could injure themselves, and humans gain fairly serious injuries after a 16 ft (5 meter) drop, where do borrowers fall on the scale?

I took to my physics notebook and calculated the result.

I won’t share with you the trivial calculations it took to reach my first conclusion. To break normal human leg bones, an impact force a little over 2,000 newtons is needed. For more serious injuries (more serious than a fracture), once the impact force reaches above 3000 newtons the fall becomes very dangerous. By 4000 newtons, the fall will usually become fatal (this happens around a 15 meter or 50 foot drop). But within the 2000 newton to 4000 newton range, a fall with a weird landing can have serious effects. If it interests you or helps put it into perspective, the impact force (in newtons) is equal to (mass(kg)x(velocity(m/s))^2)/(2(distance leg compresses (m))).

Next, I tried looking into the air resistance factor of a borrower. Depending on how high the air resistance is, the terminal velocity will decide the borrower’s impact force. Terminal velocity is defined as the highest velocity one might reach while falling, because air resistance counteracts your gravitational force once you reach a certain speed.

A 5’8” person who’s weighs 150 lbs scaled down to a height of 4” weighs .0136 kg (equivalent to the weight of a few coins). If you’re wondering if the fact that their bones are weaker will affect the outcome, don’t fret. Even though borrower’s bones are literally weaker, their bones are stronger relative to body mass. This is because bone strength is directly proportional to cross sectional area (length squared), and mass is directly proportional to volume (length cubed). this means that mass diminishes at a faster rate than bone strength. In a falling scenario, bone strength relative to body mass is the only thing that matters.

Now back to air resistance and terminal velocity. After plugging the borrower’s dimensions as well as other constants to the air resistance (drag force) and terminal velocity equations, I now know that the terminal velocity is equal to 11.4 m/s. This means that, no matter how high the fall is, the borrower will reach a max speed of 11.4 m/s because the drag force at that point will reach a quantity that is able to equally counteract the gravitational force (mass (kg) x gravity (9.81 m/s^2)) acting on the borrower.

Plugging the terminal velocity back into our impact force equation will give us the maximum impact force acting on the borrower. I’m going to do this for all of us, and reveal that the maximum impact force would be roughly 88 newtons. Taking into account a greater drag force (the borrower would most likely be flailing around and wearing clothing while falling), we can assume the maximum impact force would be even lower than this.

We are almost done. The last thing I need to do now is calculate a lethal impact force for a borrower, because it is not the same as a human’s. Impact force corresponds to energy transfer. For the previously mentioned fatal fall of 15 meters for a human, roughly 10000 joules of energy is transferred to the human, cause brain damage or death. any more than this would also lead the fatality (most likely). Scaling this down to borrower size using the same proportions as before, a transfer of roughly 1.94 joules would be fatal to a borrower. This corresponds to an impact force of around 194 newtons, well above the injury threshold calculated earlier. However, it’s good to assume that a fall from a weird angle or onto a hard surface still has the possibility to greatly injure the borrower, even if it is unlikely to be fatal.

One last calculation if you were wondering: the fall height it would take for a borrower to reach their terminal velocity is a height of 6.6 meters (or 21.7 feet) however, this fall would generate a force less than half that of a fatal force.

In conclusion, it is highly unlikely for a borrower to pass away due to fall impact from any height because their maximum impact force is well below the minimum impact force it would take to kill them. However, they can still get injured (and possibly fracture) in unlucky scenarios. This post is in NO WAY encouraging the artists or writers out there reading it to start composing scientifically accurate media, because I love the trope where the human has to chauffeur the borrower around everywhere and keep the borrower safe from high heights 🥰. If there is anything in my math I may have overlooked, please let me know because I would love to learn more! I really appreciate anyone who took the time to read this long, mathy message!

Borrower Speed, Strength, and Durability

[deancasforcutie]

it's poetry they rhyme and rip to tumblr but I can reeeaaad

[bruhstation]

various tugs ocs :-)

capo/captain/miss claymore is a figure from captain zero’s past that he desperately tries to forget. as mentioned in the picture, she is quite the imposing figure, and with her line of work, it’s a given that she’s as ruthless and cunning as one may expect. claymore and her men handle jobs that involve racketeering and smuggling, from weapons to booze, and back when she was younger (and still had a leash around captain zero’s neck which made her a source of extreme paranoia for him) she’s extremely adamant on how things should be done in her turf. after captain zero ditched his relations with her and left her to handle the smuggling business he haphazardly left behind, she has her sights on him and promised to give him the welcome back party he deserves, even going so far as wanting to invite his employees as well! how courteous of her.

zayin (in TUGS canon) is the newest addition to the z-stacks. although he’s a generally pleasant fellow and wants to be on at least good terms with everyone, zayin is protective of his self image – he makes sure he’s perceived as someone respectable and has a tendency of viewing others as beneath them (not that he’ll ever admit it, but the way he sometimes talk… shows). being a switcher, zayin takes up various jobs around bigg city port, and boy is he competent at them! they're one of the few z-stacks that zorran somewhat likes because they always get the job done and right and quick. nonetheless, he's often exasperated at how zayin quickly skedaddles to chat up the star tugs and continue his amicable relationship with them, especially top hat (whom he has a strange fixation on). zip and zug likes zayin for his friendliness, though, and he views them as charming yet pitiable beings.

[stealingpotatoes]

found this design wip from last summer and i've never felt more cheated in my life. why did my past self deprive me of more 18th century padmés by not finishing this

[why-the-heck-not]

maybe maybe a mistake taking astronomy; idk why I thought I'd suddenly be a physics mastermind just bc I have more motivation for it now. It's the first week and I have no actual clue what I'm doing (or more accurately: should be doing. Mostly so far it's been lots of staring and muttering of "what the fuck" in regular intervals)

[tiredandlonelymuse]

The altered timeline of my life has a lot to do with when people *find out* rather than when it *happened*. Sometimes it’s weeks or months later, from a “source” against my desire. Sometimes it’s a year or a few, in a song that will get decoded or I will explain. I’ve retreated into privacy for my own peace of mind, but the strange side effect is the public parallel timeline happening by my side. The animated corpse of past-me (dressed as present-me) doing and feeling and saying things quite some time after I’ve already lived them. I’m on a leash and they’re interpretive dancing through an adapted-for-TV version of it all. Weird. Not bad. Not good, really. Just…weird?

[lorebird]

In which Ford struggles so badly to relate to other people that he wonders if he’s really human at all. The more isolated he becomes, the harder it is to reconcile with his own humanity.

[lvl10blvkmage]

[salt-dilemma]

when you spent 4 hours solving a math problem only to realise you read the question wrong

[ilikedetectives]

Bioware didn't give the Qunari tails because they know I'd be so freaky about it, doesn't stop me though

Art by @/spicynoon (bsky)

[lesbiannieism]

i love how everyone telling kimi and tina to ask george for math help is ignoring the fact that george barely finished high school meanwhile the rest of the garage is full of brilliant engineers who use math all the time so they know the fundamentals by heart