#eeee space thingie

[momochimchim]

Last bibis :3 )/

[hongism]

i feel bashful RN. anyways it’s the fact that we haven’t chatted personally, you don’t know much about me and i only know what’s on your blog for everyone to see—but despite that, i still feel a very close connection with you :D you’re like my safe space and i’m always comfortable with you because you don’t push me to reveal things about myself or expose who i am. i think the lawyer ask thingy was the first time i ever used my pronouns ??? maybe, but it’s cool to think that those kinds of things don’t have to matter when you’re friends with someone. —inspo anon!

EEEE you’re so precious pls ;-; i think even if we haven’t chatted personally and i don’t know who you are behind being an anon, that doesn’t change the fact that i think you’re a very close friend to me who knows me well and understands me and supports me in numerous ways, and even if i’m not aware of your identity specifically, i can tell a lot about your personality and who you are and what kind of person you are, and i know that you are the type of person i want to have in my life because you’re someone precious and treasured and valuable to me!! i’ve seen a lot of people kinda push to play a game of figuring out who their anons are, and i understnad if that’s their definition of ‘fun’ but for me, i don’t find it necessary to know who my anons are unless they want me to know. i’m not so much a nosy person when it comes to those sorts of things but i’ve also been put in a position where my identity was forced out against my will, and that feeling is horrible on so many levels so i would never ever want to do that to a person :c but all that to say yes it’s really amazing how those things can just slip our minds when it comes to friendship and i think that’s super neat and valuable and lovely :3

[misha-moose-dean-burger-lover]

Absolutely no pressure! If you could explain how curve geometry gets used in real-world applications like engineering or something that would be awesome. Or more about the fifth curve that is studied? Thankyou!

So! I already kinda elaborated on the fifth curve thingy on the reblog (no pressure if you haven't checked it out yet!!) but here's the answer for applications IRL!

Now, we're just going to bypass circles, cause we all know they're used everywhere around us? There's a high possibility that there's at least three things in your surroundings which are circular, at any given point! Additionally, we use them almost everywhere in physics and chemistry, too! For example, in surface tension, all we're studying are concepts which ultimately prove why water occurs as droplets.

So, let's move on to the more weird curve/conic sections!

1. Parabola:

There's a very important property of a parabola, which makes it of a lot of import:

Above figure denotes that lines/rays falling on a parabola parallel to the axis of symmetry/principal axis pass through the Focus (S) after reflection.

(If the above diagram seems familiar? It's cause this is the working of a Concave Mirror!!! Similarly, we can draw theoretical models (ray diagrams) of the working of a Convex Mirror, where the reflecting surface gets flipped.)

Now, the concept drawn above is used in a whole bunch of places!

Satellite dishes: Rays/Waves falling on the dish (shaped like a parabola) get focused on the, uh, focus? Which increases efficiency, and well - literally makes it work. Eee.

Solar-powered devices, like solar cookers.

Headlights of a Car: This works on a principle almost EXACTLY the opposite of the above. Light rays from the focus (where the source is placed) fall on the parabolic glass surface of the headlights, and get reflected parallely ahead!!! Which ensures a strong, steady beam of light.

Now, special mention to MIRRORS. We all know how important convex and concave mirrors are, so yeah. They're parabolic!

And last of all? The motion of a projectile! A particle thrown at an angle from the ground, with some velocity, will trace a parabolic path before it falls to the ground. Knowledge of the properties of a parabola help us understand the behavior of this projectile! The range, time of flight, and maximum height achieved are all interrelated!!!

We can also find parabolas in several other spheres of life? Overbridges usually have a parabolic structure! As do flyovers. Car rear-view mirrors, of course. Waves are parabolic - infinitely, cause they're amazing like that, and EVEN A RAINBOW IS A PARABOLA! How cool is that, huh?

Now I realize I've rambled about parabolas too much. Hope I've not, uh, heightened your expectations, cause I really don't know a lot about applications for ellipses...?

2. Ellipse:

When I first received this ask, I was MOST excited about this bit, so here goes:

Ellipses are literally S O important, that they have applications in space. (EEEE! SPACE!!!)

Earth's orbit around the sun is elliptical. In fact, in the path the Earth traces, the Sun lies on one of the Foci! This is known as Kepler's First Law. Not just us, all planets have an elliptical path! That's basically why seasons occur.

The point closest to the sun (end of major axis) is known as Perihelion, and farthest from the sun (other end of major axis) is known as Aphelion!

Kepler's Second Law states that that the line joining the sun and planet covers equal area in equal time intervals! Now, that is not of import at the moment, cause we're talking maths and not physics - but when we say that areal velocity must stay the same, we are basically dividing an ELLIPSE into parts, as is convenient to us, to study it better.

not the most important thing, but lookorito:

See what I mean! THE ELLIPSE ATTACKS AGAIN! MWUAHAHAHAHAHAHAA-ha.

Now, let's talk about satellites again:

Spoiler alert, they're trying to escape.

Physics moment: For a satellite to escape from it's path, it needs to either make it's total energy zero, or positive (that is, the kinetic energy must be equal to/greater than the potential energy)

If the total energy of a satellite becomes 0, it escapes to infinity on a parabolic path. If the total energy of a satellite becomes (+ve), it escapes to infinity on a hyperbolic path.

Back to ellipses: Satellite Orbits:

So, the ideal velocity needed for a satellite to orbit the Earth in an assumed circular orbit is calculated as follows:

Now, depending on the velocity of a particular satellite, we can predict it's actual path (not necessarily a circle!)

Yup, das an ellipse!

***

So, I realize this became too space-y near the end, so let's end this answer with some generalized uses of ellipses (cause, as I mentioned earlier, I don't know enough about applications of hyperbolas to make it a thing :/)

Whispering Galleries: Like parabolas, ellipses too reflect a ray from the focus THROUGH the other focus! Hence, if something is said, whilst standing on one focus on an elliptical room/cove, it will be heard best at the other focus (regardless of the distance, cause sound's an awesome bish!)

Lithotripsy treatments: same principle as above, it's a surgery-free method of destroying a kidney stone!

Hulls of a Ship are made elliptical to increase buoyant force! (That changes the meta-centric height. Tis a complicated thing I don't know a lot about, sorry)

Lastly!!! If you rotate an ellipse about it's major axis!!!!!!!!! You obtain a football.

So, yeah. Their applications are widespread, and everywhere. Thank you for this ask. I hope I was able to answer properly - and I'm sorry for taking, like, half a week to get to it, it's kinda sorta finals month for me.

ANYWAYS! Cya around.