Betting on Random Stuff - 2 Leg Parlay - Engineered Bets
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- Опубліковано 1 жов 2024
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For the next one, I'm going to switch back to a more engineering one rather than simple physics. I think the more advanced solutions are more beautiful but I'd love to hear from you here in the comments about which you prefer. Thanks for watching!
I think a mix of both, alternating between them
PS: great content!!!
In the second leg the most impactful missing factor was that you didn't count for the balls angular velocity, and for the kinetic energy that was converted to angular velocity instead of horisontal velocity. In this bet i think the solution was predictable, and that made it more fun therefore i would prefer these simpler bets.
@leventeszasz7361 love the feedback! Thanks!
Simple physics itseems
never did any math i just went with my gut and i was right
Or maybe lucky)) You had 25% chance of guessing both correctly just by randomly picking the answer
Now THAT is gambling
you would be a fine engineering student, join us
I am like a neural network, no idea what I'm doing but I'm always right.
haha
3:06 You should use the effective mass of a rolling object to calculate the kinetic energy. If you assume the ball rolls without slipping, then there is a fixed ratio between the kinetic energies of rotation and translation, which in the case of a homogeneous ball means it's like it has 7/5 of the actual mass of the ball.
Thus the speed of the ball accounting for its rotation should be sqrt(5/7) = 84.5% of the calculated speed without rotation, meaning it should take 18.3% longer for the ball to fall off the table.
Considering the estimate of ~4.5 bounces, the corrected estimate should be around ~5.3 bounces which is still quite a bit off from 6 bounces
I don’t know if this effect the results, but the fact that bouncy balls aren’t rigid body may effect the results? Like he said in the video, bouncy balls do have wacky behavior.
@@林義軒-j7q
My intuition says that the ball might be getting a lower coefficient of restitution due to rotation... somehow. Or the table ever so slightly sloped who knows😂
Great point! I definitely should have done that. Hopefully, noticing that helped you get it right!
Edit: Wanted to clarify that I didn't intentionally leave that out to be tricky but things like this are a great way to gain an edge on the line.
the ramp also looks as if the ball does not leave it in a completely horizontal motion. But I guess the loss of speed on the ramp due to rotational energy is the bigger effect
Love the visuals, gives 3blue1brown vibes
I believe it's made using 3b1b's open source math rendering software thing?
manim the goat
Yep the python package is called Manim @OhhCrapGuy
I love these Engineered Bets videos! We get to think on the prediction and then bet on the outcome; lots of fun!
glad you think so!
I guessed under before the coin before the bar was even set because I knew the calc would be done without air resistance
to me even if you added air resistance it would be around the same point because although the rotation slows down the coin also reaches terminal velocity meaning it has more time to flip than predicted which then means that you have something decreasing the amt of flips (decrease in rotational velocity) and something increasing the amt of flips (increase in air time)
@@Riftoo 🤓
These are my explanations (which may be wrong)
Coin: the coin experiences air resistance while spinning through the air hence slowing down the rotational velocity of the coin
Ball: friction with the table comes into play (as the horizontal distance is the limiting factor here, determining how long the ball remains on the table)
During collisions the ball experiences friction that’s backwards, towards the wall, hence slowing down its horizontal velocity. Hence now the ball remains on the table for a longer time.
Now I’d like to see how many bounces would occour without the ball travelling horizontally
I got first one right and second one wrong. As someone who love physics problems, I never feel so attached to problems before(I even swear when I got second one wrong). Overall, it interesting video, and I wish I known this will I was still learning those concepts.(Also, as a personal desire, I would like to see this, but in electronics)
This is honestly so fun I hope you keep it up such a great little problem when doing work around the house.
No Idea what calculations you just did but got both right with "educated guesses".
First one because of air will slow down the flipping of the coin when it's flat.
Second, balls bounce a lot.
Honestly, I think these are more guessing tham the previous ones. There are multiple variables that can affect the results in either direction, and I don't feel we have enough info to conclusively determine if it is under or over.
I think the key in both cases is that the model leaves out kinetic energy losses that are generally just difficult to account for.
For instance, with the coin flip, there's air resistance slowing the coin rotating, that reduces the number of flips.
For the ball, every contact with the table imparts a little bit of friction, slowing down the ball, and air resistance slows out down more, and so on.
You could, of course, always set up a system that imparts extra energy to the ball in a non-obvious way (like causing the ball to be rotating more quickly, converting that rotational momentum into linear momentum on the first bounce), but the purpose of giving all of the values he does is to specifically get us to think about the variables that aren't already modelled, and to figure out how those will affect the result.
@@OhhCrapGuyfor the coin flip, the coin will also reach terminal velocity, meaning there is more time to flip, increasing the amount of flips too (which then means that it is possible for it to be either under or over). for the ball, it could be argued that the rotation forwards would increase its velocity in that direction, meaning it would bounce for less time leading to less flips. (although i dont think it was spinning fast enough for that so it hit over)
Ah, now I'm the almost undisputed champion, man should have just gone with my intuition in the second one
Air resistance for the coin and friction of the counter caused me to guess correctly on each
My exact thought process
Here's my theory as a high school level physics and AP physics 1 graduate. The potential energy of the ball was split between kinetic and rotational. There was slower horizontal (KE) movement because there was a lot of rotation on the ball. This caused the ball to move across the table slower than predicted allowing for more bounces.
in the entire series, I still haven't gotten a single one correct.
That makes two of us. Wanna come cry in the corner with me?
Over with the ball. the things that affected the results was the leant of the ramp and a lower drop off point when it left the ramp. Also the angle of the ramp for the forward horizontal motion . A little too much assumption on the equation with energy being conserved, and and having no friction drag.
For the first one, y0u only accounted for the rotation in X axis, but there was probably some slight rotation in Y axis that skewed the result
This is unrelated to the video. But I couldn't help but noticing that in your profile picture you look like Sid from The Ice Age.
Now I couldn't help but noticing this, and in this I had the pleasure to look for the pattern when watching your profile picture. I couldn't help, meaning I was totally free because I couldn't do anything else but that. And I had the pleasure of looking for this perceived pattern.
I got the second one wrong and I think I know why. Those balls have highly amplified friction due to deformation at impact. So the ball would have slowed after every bounce and I didnt account for that.
It's the first one I've gotten wrong and wish I'd paused to think about it.
The ball was rotating "away" in the second video...
However, when a ball like that bounces, it can reverse the spin every bounce.
I do not know what too do with this information.
I am not a smart man.
Since this series debut I haven’t gotten any wrong. I think I just kinda guess what seems realistic. I get lost in a lot of explanations cuz I’m too slow to follow
Intelligent shorts. Thoughtful education. ❤ 2 truths and a lie as well.
Got both. Both I guess was due to potential energy being less than predicted.
Yea I definitely know all these equations obviously
In the 2nd one friction and air resistance
BRO HOW THE HELL I DIDNT KNOW ABOUT YOU
YOU ROCK !!!
For the bouncy ball, your analysis forgot about rotational kinetic energy. A high friction surface like rubber will gain a lot of rotation KE, meaning that a lot less linear KE will be created than you assumed. Combined with energy losses from rolling friction and air resistance, I was expecting way more bounces than 4.5.
It'd be interesting if you redid the prediction, factoring in rotational KE. You might have gotten close to the actual value if you did.
I love how we can replicate this in class and have a lot of fun while understanding that this much more than just a bunch of formulas. Graeat job as always!
Answer to both was air resistance
Always friction
My rough guess without any deep thinking for the ball one is that the ball does lose energy with each bounce not only in its vertical axis but also in its horizontal velocity. So, with each bounce, the ball travels slower horizontally, taking more time to pass the table and in conclusion bouncing more
I wish i could bet live
LET’S GO GIMME MY MONEY
I got neither :(
BRO IM CRACKED
i thought the ball would be under because of the top spin accelerating it forward.
me too
Both wrong oof
Hell yah. Got both right this time. These are some fun vidoes keep them up.
I like the way you say “ using familiar techniques “
ez 2/2
thought the air would slow the coin on the first and for the ball I just felt it would bounce a lot. both right.
2/2 ez
GamblePhysicsCore