/r/theydidthemath
And they said math has no real world applications
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/r/theydidthemath
Always wondered
sometimes you're not looking for big wins, just a little extra cash
You can see the stars moved in those 30s
So as the sun sends light to our planet earth, this energy can/is transformed into mass. How much matter is getting created every day? Are we also losing it?
Just came to my mind.
So I'm working on repairing a stainless steel tank... I have the replacement peice that's 78 inches long. The tank is 66in diameter, 208in circumference...
My question is, what should the distance between the two ends of my replacement piece be to get relatively close to the correct diameter...
Someone out here can totally figure this one out, but it’s not me. Help me please. TIA!
This is a map for a scavenger hunt. How can I find the shortest route to collect all points? (Assuming the map is to scale and terrain is flat)
Still haunting my dreams! Thanks.
I measured the length of a distance on the plans to be 31/32”, so I divided 31 by 3 to get the length in feet, and the resulting number (10.33…) is clearly not the length in feet given my intuitive understanding of the plans.
It’s the length of a row of 3 cubicles, and there are two desks adjacent to this line in each cubicle, and at 10.33/3, each cubicle could only be 3.44 ft wide, and that’s just not possible, as each desk would have to be 1.722 ft wide, and that’s clearly ridiculous.
Today I went out to see the Revolution Wind farm off the coast of Rhode Island. While watching the blades spin, I asked myself: I wonder how fast the blade tips are rotating?
Each of these wind turbine rotors has a radius of 360 feet (diameter = 720 feet).
C=2*pi*r
C=2*pi*360
Circumference = 2,260.8 feet
We counted that it took roughly 6 seconds for a blade to make one complete revolution.
Speed = 2,2608 feet/6 seconds * 10
Speed = 22,608 feet/minute * 60
Speed = 1,356,480 feet/hour / 5,280 feet in a mile
Speed = ~256 miles per hour
I'm posting this here because this number baffles me. Perhaps it is my brain's inability to fully comprehend the scale of these turbines but they certainly didn't appear to be moving 256 mph. There is also some other sneaky math at play here warping my perception of the blade tip's speed: the length of the blade. While smaller wind turbines typically spin faster (make more revolutions per minute) the speed of the blade tips is typically slower because the blades are shorter.
In our example above the turbine was making roughly 10 revolutions per minute. If we were to use the same rotational speed for a wind turbine with a 100 foot radius, the calculated speed would be ~73 mph.
When I saw that image I asked myself, what would be the speed of the tip of the rotor blades? What could be the force there, could any known non exotic material withstand that forces? What could be the maximum rotor size for a realistic maximized helicopter? Have fun playing with some numbers ;)
And now high temperature
I have found on quora that human skin can hold approximately 1-2 litres (kg) of water. Let’s assume it is already human temperature (36,7C). It takes ~2200kj/kg to evaporate 1kg of water, that energy can partially come from the outside air and partially from the person. So… can we lose weight from that?
A man meets a guard who will shoot him . The guard says the man he needs to win a game 365 times without losing once to be let off. The chance of the man losing the game is 1/1024. What is the probability that man does not get shot
If I lay 52 playing cards face down on a table then choose a random card that I want to find, say the Queen of hearts. I lift the cards one at a time and discard them. So my chances of it being the first card are clear 1 in 52 then 1 in 51 then 1 on 50 and so on..all the way to 1 in 3 and 1 in 2. So my chances of finding my card are never good.
My issue is surely the chances of it being literally the last card I choose are also very small. Is there a cross over point where it becomes likely to find. I've been thinking about this for days and clearly I'm not smart enough to figure it out. But maybe one of you are!
I rolled 5 dice and 2 6s showed. I kept the 2 6s and rolled the other 3 dice. 2 more came up 6. I rolled the last one for another 6. Yahtzee!
Next turn- I roll 5 dice and 2 more 6s. I kept the 2 6s and rolled the three dice again. 2 more 6s. Roll last one for another 6. Yahtzee!!
Two turns in a row- I rolled 6 times in all and got Yahtzee with 6s twice!
What are the odds of this happening, specifically with the same number?
To add the little context that I know: this was presumably shot at the Afghanistan/ Pakistan border - no idea what's inside the package 😉 - but it's probably quite dense !