The reason for this being slower than expected is the water has been colored blue which made it sad and when its sad it takes a bit more motivation from gravity to get it out
Probably, but the main reason is that the center tube has to drain first and the water on the outer sides of the funnel have to wait for that water to drain too. That water doesn't apply any force to making it drain faster.
haha i was thinking the same thing. "i could integrate to get the time. should i integrate? wolfram works too. nah fuck it, too much effort. oh hey he did it already. surface tension, friction and air drag. probably over"
I won that bet handedly. PS: Your equations didn't account for turbulence. If the liquid was spinning before removing the cork, it would have minimized the turbulence, and 4.5 seconds might have been dead on.
As an engineering student i took the over initally, after his explanation of how the base was calculated i knew my choice was right because 4.5 was the best case scenario when not accounting for, fluid drag, friction with the walls, turbulance. And the best case scenario never happens, much less a better than perfect scenario lmao
He didn't even apply reynolds number. When I saw he wasn't accounting for the length of the nozzle or viscosity of the water I knew the over would take it.
we assume laminar flow and negligible friction with this model (thus the large error) there’s better models that give much closer answers Navier stokes is the most famous.
As soon as you said you were using exit velocity I took the over. I'm no mathlete but I feel very strongly that exit velocity should fall as the water pressure goes down
That’s actually cool cause whilst Bernoulli’s equation is “decent” at modelling fluids it doesn’t take into account viscosity like the navier stokes equation. However stokes doesn’t take into account the attraction between the water and the funnel, but I think for this purpose it’ll be negligible.
The only flaw that gave me the over call was its not perfect flow. If you did this with a variable pressure over the top of the funnel that goes up as water flows out, you'd get exactly your calculated 4.5 secs.
For those that are wondering yes you can refill the top of it before the bottom part drains and if you keep doing that enough you'll never get the funnel to be empty. PS they do this with electricity and it's called a capacitor.
Technical Question: "Turbulence" is a product of variegated densities, but water is non-compressible. There's collision and interference, yes, but it would seem that some other term would apply to such characteristics in liquid water.
You didn’t account for viscosity in your Bernoulli’s equation. The navier stokes equation would be better for this but you need a computer to solve lol
Can somebody please tell me if this is like normal math we should know as adults are high schoolers doing this crap?? Should I know this??? Is this 8th grade math or college math or mathematician math
I thought it would be under because you didn't account for water pressure. It seems small in this situation but technically the water that comes out first has all the other water pushing down on it while the water that comes out last has only gravity. As for why it took longer I have no idea
My first time seeing a video like this. "What kind of idiot would guess only 4.5 seconds. It'll obviously take longer. One could probably even roughly calculate thi-....." "Oh."
Always choosing over, because my bet is statistically speaking infinitely more likely to be correct.. 0s-4,5s Vs. 4,5s-999.999.999.999.999.999.999.999s It's honestly just really simple math🤓
I predicted over because you didn't mention friction, turbulence, or other disruptive forces, which I felt would lengthen the time. Essentially, I predicted over because the real world is messy.
I went with "over" just because it seems like unaccounted forces would be more likely to be slowing forces than speeding up forces. Not very scientific, but
Reynolds number? Never heard of him. But in all seriousness, you forgot to account for the resistance to flow based on the size and shape of the opening. If friction didnt exist, and this was in a vacuum, it could have been close to 4.5 seconds.
As a highschool drop out I may of understood none of those words but I was still right, proves you don't actually need school ! that's a joke stay in school, no good comes from dropping out I am very depressed.
When comparing to theory, it's probably best to assume inefficiency at some point. For this, all I can think of is friction against the sidewall that wasn't calculated for or more friction between the molecules than theorized
I’m taking the over cause I think a significant factor will be water’s adhesive property and friction and I didn’t see that accounted for in the equation.
lakers caught a wild stray 😭
Ong that was so out of nowhere💀
That hurt my feelings. But it's true
Nah that wasn't even a stray he pointed the gun at em and this whole video is the cover up
I got flashbacks 😔😔😔
Imma touch you dawg
The reason for this being slower than expected is the water has been colored blue which made it sad and when its sad it takes a bit more motivation from gravity to get it out
Finally a scientific explanation
Smartest comment in the entire comment section
Finally, someone who actually knows what they’re talking about
that was funny
You have been awarded the Nobel peace prize for your observation of food dye and assorted emotions.
I took the over because i've been in college and know that funnels never empty as fast as you expect them to 😅
Bro fucking same 😂😂😂
Same lmao
I see you also did some extracurricular research in fluid dynamics 🤓
I thought I had something to do with water needing to let air out to drain but maybe that doesn’t mean anything here
i've been in meth industry and i can confirm
Friction/attraction to plastic walls as well as turbulence can account for the difference in time.
Probs also the slower drain of the water for the brief time the cork was still near the opening, and the added volume of the tip of the funnel.
Many other factors at play. This is why engineers always add +- error percentage.
Probably, but the main reason is that the center tube has to drain first and the water on the outer sides of the funnel have to wait for that water to drain too. That water doesn't apply any force to making it drain faster.
My first thought was he didn't consider friction so it has to be over
That's why I took the over. It can never drain faster but several things can cause it to drain slower
Buddy I just use my imagination and think how long it would take 😭
Yeah, that's good too!
Relatable
Me too, and I thought it would take just half a second over, but at least I got the over right
Same. I just imagined how long it would take and got 5.5 to 6 seconds
69 likes 🔥
I was like "i don't feel like doing that calculus...oh you did do it? I'll take the over."
I don't even know how to do partial differentiation
@@TheBluePhoenix008
Pretend everything else is constant and just differentiate that one variable
Ie: d/dx of yx^2 = 2yx
@@TheBluePhoenix008
*as long as Y and X don't depend on eachother. Then just plug in your limits to get the integrated value in this case.
haha i was thinking the same thing. "i could integrate to get the time. should i integrate? wolfram works too. nah fuck it, too much effort. oh hey he did it already. surface tension, friction and air drag. probably over"
Over: No matter how good your math is, there’s always one random variable that going to slow everything down.
The speed the cork is taken out
yeah is called pressure; it’s related to the height of the water column (gravity) and changes as it drains.
His reasoning “advanced mathematics”
My reasoning “because of its shape it will take approximately longer than he said”
Knowing the difference between an approximation and reality is actually very important for the application of physics.
Technically it’s just high school math and physics, it’s just really tedious
@@YD_. I dropped out of high school so it is advanced math for me
@@RealCapybaraOfficial oh I see, sorry
@@YD_. its a joke
I won that bet handedly.
PS: Your equations didn't account for turbulence. If the liquid was spinning before removing the cork, it would have minimized the turbulence, and 4.5 seconds might have been dead on.
Does friction also matter?
@@nekto4658not as much for liquids but if it was solid than yeah
Viscosity* @@nekto4658
Guy was just removing the lid, he didn't say he'd spin it too
@@nekto4658 Yeah, and you also can't forget to take air resistance into account
What i learnt:2×4
The test:
As an engineering student i took the over initally, after his explanation of how the base was calculated i knew my choice was right because 4.5 was the best case scenario when not accounting for, fluid drag, friction with the walls, turbulance. And the best case scenario never happens, much less a better than perfect scenario lmao
He didn't even apply reynolds number. When I saw he wasn't accounting for the length of the nozzle or viscosity of the water I knew the over would take it.
yeah is called pressure; it’s related to the height of the water column (gravity) and changes as it drains.
bro just violated the lakers for no reason
Pov: viscosity entered the chat
we assume laminar flow and negligible friction with this model (thus the large error)
there’s better models that give much closer answers
Navier stokes is the most famous.
@@tristan6773 i dont know what navier stokes is but it sounds cool
@@tristan6773 you sir, are spot on
That Lakers shot was wild 😂
I like your funny words Magic Man
As soon as you said you were using exit velocity I took the over. I'm no mathlete but I feel very strongly that exit velocity should fall as the water pressure goes down
I took over bc if it’s 4.5 in perfect conditions, anything imperfect will make it longer
That’s actually cool cause whilst Bernoulli’s equation is “decent” at modelling fluids it doesn’t take into account viscosity like the navier stokes equation. However stokes doesn’t take into account the attraction between the water and the funnel, but I think for this purpose it’ll be negligible.
The only flaw that gave me the over call was its not perfect flow. If you did this with a variable pressure over the top of the funnel that goes up as water flows out, you'd get exactly your calculated 4.5 secs.
Dont care about math, my brain tells me its over unless you dont the hurricane trick
I like this science version of your channel.
Maybe in a vacuum it would have been 4.5 seconda
Water would still be sticking to the plastic, so it would still take a bit longer, but yes vacuum makes it faster
Thank god over won - I gave my cousin $10k when we made our bet so he should be back here with my $20k soon
Im a fool, i said over, because it would need time for air to flow in... realised i was right for VERY wrong reasons... lol
Slower. I didn't see any compensation for friction or viscosity.
It's all because of that blue dye!!
I came here to say that, but you already did.
Bro I can calculate everythinh I even said to myself 6 seconds
Bro called me stupid in every language possible
Just spoke a whole lot of gibberish- science confuses me 😐
he calculated for volume but not for the water pressure. If you spun the water around then opened the bottom, it'd agree on the time.
Thought the same here!
How did no one point out the 6.09 I’m so sad the internet failed me today
Won’t stimulating a vortex change the flow rate? How would you calculate that?
This is why I think I would be a good gambler 🎉
I’m to dumb for everything he said
Honestly, 6 seconds is still faster than I was expecting
Bros doing that dr stone math
Is this proof that math doesn’t work? 🤨
my dumbass thought this was a 2 truths 1 trash video
For those that are wondering yes you can refill the top of it before the bottom part drains and if you keep doing that enough you'll never get the funnel to be empty.
PS they do this with electricity and it's called a capacitor.
A capacitor is more like if you filled it from the bottom.
My fund ahh thought this was two truths and a lie
The funny thing is, before he said what the math equation said, I thought about how long it would take, and guessed 4.5 seconds. 😂
Does this work with green water?
Over cause friction
YO I GUESSED 6 SECONDS LETS GO
WOW🥶😱
easy gamba over cause math was done in a vacuum. elevation alone could effect things
Just proved that math is useless. Thank you good sir
Not at all what this showed, but if you want to make not knowing things your personality, you do you
Why was the result from the equation wrong?
I would expect a small margin of error, but 2 seconds (~50%) is a big margin.
Technical Question: "Turbulence" is a product of variegated densities, but water is non-compressible. There's collision and interference, yes, but it would seem that some other term would apply to such characteristics in liquid water.
Friction from the walls, and the turbulent flow of the liquid out is not taken into account. So went longer.
Imma say under
Probably cause of water-water interactions and currents.
took the over as I was expecting you to take idealized flow instead of turbulent flow which would reduce flow rate quite considerably
You didn’t account for viscosity in your Bernoulli’s equation. The navier stokes equation would be better for this but you need a computer to solve lol
Can somebody please tell me if this is like normal math we should know as adults are high schoolers doing this crap?? Should I know this??? Is this 8th grade math or college math or mathematician math
Im betting yhe discrepancy is almost entirely in friction, as the outlet will have jusy enough friction to make it slower
what.
Nice.
Nice
What teachers think students will do after learning math
I WIN
I thought it would be under because you didn't account for water pressure. It seems small in this situation but technically the water that comes out first has all the other water pushing down on it while the water that comes out last has only gravity. As for why it took longer I have no idea
Q=Av=πr²×sqrt(2gh)=dV/dt.
V(h)=V0×(h/h0)³
Therefore πr²×sqrt(2gh)=3V0×h²/h0³ dh/dt, and we can get h(t).Then solve T that makes h(T)=0, we're done.
My first time seeing a video like this.
"What kind of idiot would guess only 4.5 seconds. It'll obviously take longer. One could probably even roughly calculate thi-....." "Oh."
Always choosing over, because my bet is statistically speaking infinitely more likely to be correct..
0s-4,5s Vs. 4,5s-999.999.999.999.999.999.999.999s
It's honestly just really simple math🤓
How fast wpuld it be if a cyclone formed?
My best full funnel is 5.8 seconds so idk about that
1 word: TURBULENCE
If you swirl the water around and create laminer flow, you'll get it to pour out in something closer to the theoretical speed.
If you were my math professor in university I would have a CGPA above 5 fr 😅
Nice application of math IRL
Easy test: is this something you would normally want to happen? If yes, it'll take longer than estimated. If no, it'll happen before you expect.
The yay!😂
Its because water does not add pressure from the sides only downward
Brenoili equation or however you spell it, idk I'm Chemical Engineering major I don't know how to spell
Is it just friction that results in that discrepancy? If so, I'm surprised friction would be so significant with y'know a liquid.
Over. Bernoulli's principle doesn't account for surface tension or turbulent flow. You need Reynolds for that.
Didnt account for friction, vacuum effect, and water adhesion. Obviously the over!
chemical engineering nostalgia
this requires ODE (ordinary differential equations)
I predicted over because you didn't mention friction, turbulence, or other disruptive forces, which I felt would lengthen the time. Essentially, I predicted over because the real world is messy.
... How'd I instinctively peg the length of time it would take? Not the number, but my internal perception of tone matched the reality.
Physically speaking, I don't see how it could be faster
I went with "over" just because it seems like unaccounted forces would be more likely to be slowing forces than speeding up forces. Not very scientific, but
Idk wtf is going on but I’m still watching
As a Lakers fans, I take the stray and move on
Reynolds number? Never heard of him. But in all seriousness, you forgot to account for the resistance to flow based on the size and shape of the opening. If friction didnt exist, and this was in a vacuum, it could have been close to 4.5 seconds.
Over, always expect the worse outcome
Meanwhile me: yeah funnel looks too big for under 4.5 seconds
Former Army Sniper and Physics Bach. Somewhat expected that I did the math mentally 😂
Under… wait. It’s dyed blue? Over 100%
I took the over because I know cones drain excruciatingly slow just to piss me off 😂
I guessed slower!
As a highschool drop out I may of understood none of those words but I was still right, proves you don't actually need school !
that's a joke stay in school, no good comes from dropping out I am very depressed.
pov: math teacher explaining why math is usefull
I gotta know how the under wins on occasion. The equations used presumably are perfect systems when the real world isn’t.
I’ve won 1! I’m officially a gambling god. If it wasn’t for this economy I’d get a mortgage so I could gamble it!
I just had a physics final today with some fluid dynamics questions and I've been trying not to think about it. This did not help.
When comparing to theory, it's probably best to assume inefficiency at some point. For this, all I can think of is friction against the sidewall that wasn't calculated for or more friction between the molecules than theorized
6.09 seconds is how long it takes to injure Anthony Davis
FINALY a video that gets straight to the point and doesn't take 2000 parts to just explain how
I’m taking the over cause I think a significant factor will be water’s adhesive property and friction and I didn’t see that accounted for in the equation.
I took the over simply because you did not take into account viscosity, turbulence, and raugh exit - which all contributing to a slower rate of change