Place your bet: How long will it take for the Funnel to drain?
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- Опубліковано 1 жов 2024
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This video was kind of a leap forward to the future of this series, but for the next couple of episodes I'm going to go back to more basic physics/engineering. I'm curious if people prefer more advanced topics or more simple ones, so let me know in the comments if you are reading this.
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For the next couple of episodes in this series, I'm going to go back to some more basic physics/engineering demos, but I wanted to do one that shows where the series could go in the future if I'm able to continue making these. I'd love your feedback here in the comments. Also, a new episode of 2 Truths & Trash should be out on the 1st. Thanks for watching!
The first funnel drained slower because any uneven distribution of turbulence would coalesce into a spiral causing the liquid to spend much of its time spinning around the hole instead of heading straight to it. The second funnel drained faster because the long tube maintained a vacuum as the liquid in it continued to accelerate due to earth's gravity. A combination of atmospheric air pressure from the top of the funnel and cohesion between the water molecules respectively pushes and pulls the water down faster. (How did I do, teach?)
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🔵 And give good tidings to those who believe and do righteous deeds that they will have gardens [in Paradise] beneath which rivers flow. Whenever they are provided with a provision of fruit therefrom, they will say, "This is what we were provided with before." And it is given to them in likeness. And they will have therein purified spouses, and they will abide therein eternally. ( 2:25 )
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All of your videos are 👍🏽. Please keep doing what you are doing!
I assume the reason it drains faster with the tube is because the Siphon pulls the water directly down and straight out and I guess maybe it just doesn't do that with just the funnel
Pressure is proportional to the height, and the flow rate increases with higher pressure.
So with a long tube, there is a greater height, meaning a higher pressure, increasing the flow rate.
I did a problem just like this in calculus 1 class in university, which was fun.
No because for It to exist a pressure u need force but since top and bottom of the water has the same force down the therell be no pressure
It Will only happenn if fluid has viscosity and a friction with walls wich act as forces up
My fever dreams before the physics exam after watching 3blue1brown
I'M NOT THE ONLY ONE
My last brain cells are dead right now.
real
Me too😂😂😂
This is first grade stuff from middleschool how are your braincells dieing
@@Raven99991 ironic that you spelled dying wrong
@@BinknotLink because im not english
Excellent use of manim, this was SLICK. I'm predicting longer, to account for the viscosity of water artificially constricting the flow at the mouth, similar to the soap dispenser video.
While a higher Vr term in the Bernoulli formula would mean higher flow-rate, the latest numberphile video on cones shows that the VAST majority of the volume of a cone is really near the wide part.
Edit after watching: In the example with the tube, that VR term AND that pressure term are both much more relevant, which explains why it's draining faster.
Taking fluid mechanics, mass transfer and transport phenomena has finally paid off. Never assume laminar flow guys. Now i can return back to not using them forever
Hey I know these probably get less views than some of your more long lasting series but please dont stop this! Really love the details you get into.
I didn’t understand a word of what you said but I was right so…
Same
Why assume V_r is negligible when we could use conservation of mass to deal with it exactly (V_r A_r = V_e A_e)?
Great point! and whether to keep it in was something I went back and forth on. It's just to simplify and to make the integration doable for the analytical solution. I was curious what the difference would be if I had kept it in and it dropped the line by about .1 seconds when I solved it numerically, so I decided to keep the assumption in for simplicity and to get a cleaner solution.
The ratio of the areas really becomes significant towards the very end, where the ratio increases rapidly, but since there's not much water left by that point, it didn't seem to matter much after all (assuming I didn't make any mistakes when solving it numerically of course).
Thanks so much for your thoughtful comment! I really appreciate the discussion.
3:36 this was question asked in this years Jee Advanced (Exam for admission in India's top engineering collage)
Except of cone it was cylinder and ratio of time in both cases was asked.
I wasn't able to figure out why will time vary if a long pipe is attached.
Wish I watched it before my exam.
So you still don’t know? 😂
Teaching science with gambling terms. Nice try...
I'll bet $100 on under, nothing more.
I loved it! I may have to use this example in my calculus classes, it makes for a good exercise.
I stopped being able to understand what he was saying within the first 20 seconds, but it's still interesting to listen to!
With the funnel it’s much faster, because the pressure at the bottom is much more higher, which means that in the Bernoulli equation we get other results.
My thought is that the cone shape prevents the water from experiencing gravity's normal acceleration rate, due to gravity trying to force a larger volume of water into a smaller space, and since liquid isn't compressible, the larger volume is stuck waiting for the smaller volume to get out of the way. At the point at which the volume of water in the hose exceeds the volume of water in the cone above its opening, a sort of vacuum will be created at the location where the diameter changes, causing atmospheric pressure to force the water down quicker. Once all water has exited the cone, gravity will have full control over the water's acceleration, and will continue accelerating at the normal rate until the water reaches its terminal velocity. The reason that the hoseless funnel takes so much longer to drain is that the water level in the cone needs to almost completely drop before the water volume in the little outlet exceeds the volume remaining in the cone, meaning that the stunted flow rate is experienced far later, subsequently taking longer overall than its hosed counterpart.
Alright fluid dynamics people, it's your turn to destroy me... Please be gentle, I'm shy............... LMAO, JUST LET IT RIP!!!
This was my hypothesis too 😭
This is why I love physics
I'll go with answer B.
It’s so surprising how much math is required for everyday actions! I love this series, keep it up!
I really like this series. I hope you continue making more and that I see them crossing my feed :)
First also good video
Love this video idea!
slower
Hey your my favorite youtuber can i get a pin?
sorry using it for a message haha
@@JaDroppingScience np Ja
I was right yes! Also I think the long tube was something to do with water pressure and height
You can compress water I went on a 20 min google side quest learning about it lol
this is so nerdy i love it
as for the faster draining i think its siphoning?
My bet: it will take longer. I don’t have a good reason for this
higher = more pressure = more exit flow
3:44 acceleration due to gravity
Yo
Over alll dayuyyyyyyyy
Inersha
The first took longer because the equation doesn't account for the various sources of friction or importantely viscocity. If you use alcohol you would find it closer to what you predicted and if you used oil it would be further.
As for the pipe, essentialle due to, once full, the high of water in the pipe sucking water out of the funnel. Essentially Pe will not be 0 but some negative value.
If you made sur the exit of the pipe was at the same height as the exit of the funnel, it would be higher since you would have more friction.
I LOVE this series!!
Not sure how I found your channel, not sure why I’m watching this at about two in the morning, but I like the video and I’ll subscribe keep up the good work
I love this, seriously
I'm not a science guy but I remembered seeing a short explaining that you should only measure the mass of the water directly above the hole and not the ones offset to the side inside the funnel. That's why my guess was it'd take longer - there is less mass than I believe you calculated with.
I guessed that it would drain faster than the line because of the reservoir velocity being significant
I think it drained slower because the effective cross-sectional area of the water leaving the funnel is smaller than the nozzle's diameter, due to the water's velocity pointing towards the middle because the funnel's walls are angled. You can also see this in the video
This is also why the long pipe causes it to drain faster, by having a long tube with straight walls the water at the edge goes straight down and thus the cross sectional area is greater
Nice
This is so confusing
Great concept (a bit too fast). Keep it coming please.
Thanks
I love this series! Please keep this video style coming, I really enjoy the mathematical explanation and twist of "betting" on the calculation. I took a fluid mechanics class and this information was spot-on, great video
By using the tube at the end of the funnel the water had a path to go through that made it go faster thus it drained quicker
Great vids
Because the funnel was mounted higher
GUYS THIS ISNT WHAT THEY TAUGHT ME IN SCHOOL😭
my brain hurts but under
shit
I am glad I seen this.
Do more of these videos👍
Why was it more than 4.5 seconds?
My educated guess is that external retarding forces, such as air resistance and adhesion to the inside of the funnel, slowed down the flow rate, increasing the time.
Wait if the adhesion was really the real reason then in the second experiment the time should increase not the other way around way around
Correct, water viscosity.
Funnel with pipe attached is much taller, increasing the pressure, higher pressure would mean a faster flow rate, draining the funnel faster 🙂 I think?
I'm a vehicle tech with an interest in energy 😅
If you don’t wanna watch the video, it actually took 6.09 seconds
The way my heart rate raised when the bet was to the test,
Also I got it right 😁🫶