My Fermi problem is, how long would it take 1 person to dig to the center of the earth? I choose this question because it is a question that on a daily basis people would probably not ask. It is a question that you can't just look up online and get a answer. My question is a question that you would have to research and put thought into. It is also a question that will make you think. That is why I chose it because as soon as it popped in my head I wanted to know the answer.
* How long does it take 1 person to dig a foot into the ground and in a 5 foot radios?
* Do people dig faster in soil then through gravel?
l* Does It matter if the person is a guy or girl digging and how strong they are?
* On average how deep is it from earth surface to the core of the earth?
* Does it make a difference if you are using a shovel or heavy equipment?
* How deep is each layer of the earths layers?
* What is the diameter of the earth?
* What is the radius of the earth?
* How much soil is on top of rock on a average?
It takes more work to dig through gravel then it does to dig through soil. (Knowledge) You can dig faster with heavy equipment then you can with a shovel. (Knowledge) The earth's diameter is 7,918 miles or 12,742km. (Google) The radius of the earth is 3,959miles or 6,378km. (Google) The earths crust is 0-40km, upper mantle is 40-400 km, transition region is 400-650 km, lower mantle is 650-2700 km, D” layer is 2700-2890 km, outer core is 2890-5150 km, and the inner core is 5150-6378 km. On average in Vermont you can only dig 2-3 feet in the ground before hitting rock in the ground. (www.osha.gov)
I estimated on how long it would take an average person to dig a hole in the ground 1ft deep and in 5 ft in diameter. Assuming that it is soft soil and has no gravel. I thought that on an average that it would take a person 30min to dig 1ft deep and in 5 ft diameter. I thought that because I was thinking that it was soil that had little to no gravel in it and was easy digging. Also saying it would take that long if you went at a steady pace and didn’t take any brakes.
You can find the diameter of the Earth and then using the diameter of the earth you can find the radius. Then you calculate how long it takes a average person to dig 1ft into the ground and 5ft in diameter. Then multiple that average number of time to the distance from the earths surface to the inner core (center of the Earth,) to get your answer. Note that it may take someone on average longer to dig through rocky soil then it would to dig through soft dirt. Also, the longer that the person digs the more tired they will be. Also when you got your averages in feet then turn them into km.
In your 3rd calculation, it looks like you used 30 min per km as a rate but above that you have 30 min per ft - those are pretty different from each other
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Crust-20 km
Upper Mantle-180 km
Transition Region-525 km +
Lower Mantle-1,025 km
D” Layer-2,795 km
Outer Core-4,020 km
Inner Core-5,764 km
Answer
14,329 km
Well since it takes someone 420,000min to dig to the center of the earth I wanted to know how many days that would be. In 1day=1,440min 420,000/1,440= Around 291 days to dig to the center of the earth without stopping . That means that it would take someone 261 days to dig to the center of the earth with no food, water, or sleep. With absolutely no breaks. Wow that is a lot of days!
This answer is also assuming that he will only be digging through soil and not taking any stops for sleep, food, or water. (which is OK but should be noted)
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