Fermi Questions C

Test your knowledge of various Science Olympiad events.
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Re: Fermi Questions C

Postby NeilMehta » February 12th, 2018, 4:33 pm

How much is the mass of all the live rhinoviruses in the world in units of the mass of a standard No. 2 wooden pencil?
Honestly, no idea how to approach this one.. let's say the mass of one rhinovirus is E-12 g?
In that case, E13 rhinoviruses would weight the same a pencil. Guessing that there are E14 rhinoviruses, final answer of 1
So after doing some research, I can't find any information on the number of rhinoviruses out there, or the mass of one, but at least i got the mass of a pencil right :P
New question: how many turkeys would it take to feed the entire country of Turkey for the next 100 years?
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Re: Fermi Questions C

Postby Riptide » February 12th, 2018, 4:59 pm

New question: how many turkeys would it take to feed the entire country of Turkey for the next 100 years?
Not too sure about this but I’ll assume a population of 7 in Turkey. One turkey could probably last one person a few days(if you eat relatively minimally). This means each person would need 4 turkeys in a hundred years, which gives an answer of 11.
The population of Turkey is 80 million and it looks like one turkey has 20,000 kJ of energy. Each person needs an average 8,700 kJ of energy a day, so each person needs 16,000 turkeys in 100 years. This results in an answer of 12.
How many humans have ever lived?
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Re: Fermi Questions C

Postby Name » February 12th, 2018, 5:42 pm

New question: how many turkeys would it take to feed the entire country of Turkey for the next 100 years?
Not too sure about this but I’ll assume a population of 7 in Turkey. One turkey could probably last one person a few days(if you eat relatively minimally). This means each person would need 4 turkeys in a hundred years, which gives an answer of 11.
The population of Turkey is 80 million and it looks like one turkey has 20,000 kJ of energy. Each person needs an average 8,700 kJ of energy a day, so each person needs 16,000 turkeys in 100 years. This results in an answer of 12.
How many humans have ever lived?
I believe about 100 billion people have ever lived or 11.
Around 108 billion so 11
Question: How much energy (in joules) is an Einstein of infared light (Edit: infared light varies so wavelength of 1 mcm)
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Re: Fermi Questions C

Postby PM2017 » February 12th, 2018, 6:43 pm

New question: how many turkeys would it take to feed the entire country of Turkey for the next 100 years?
Not too sure about this but I’ll assume a population of 7 in Turkey. One turkey could probably last one person a few days(if you eat relatively minimally). This means each person would need 4 turkeys in a hundred years, which gives an answer of 11.
The population of Turkey is 80 million and it looks like one turkey has 20,000 kJ of energy. Each person needs an average 8,700 kJ of energy a day, so each person needs 16,000 turkeys in 100 years. This results in an answer of 12.
How many humans have ever lived?
I believe about 100 billion people have ever lived or 11.
Around 108 billion so 11
Question: How much energy (in joules) is an Einstein of infared light (Edit: infared light varies so wavelength of 1 mcm)
ir light is like 1000 nm so 1mcm. e = hc/lambda, h is -33, c is 8, and lambda here is -6. so e = -33+8-(-6) = -19. Then, add 24 to get 5.
e(per photon) = hc/lambda. h is 6.626e-34J*s, c is 3e8m, lambda is 10e-6m. Multiply them together and you get 1.88e-19J(per photon). Then multiply by avogadro's number (6.022e23) to get 113,000 J(/mole), which is 5
EDIT: I forgot to post a question. Give me one second while I come up with something
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Re: Fermi Questions C

Postby PM2017 » February 12th, 2018, 7:01 pm

Not too sure about this but I’ll assume a population of 7 in Turkey. One turkey could probably last one person a few days(if you eat relatively minimally). This means each person would need 4 turkeys in a hundred years, which gives an answer of 11.
The population of Turkey is 80 million and it looks like one turkey has 20,000 kJ of energy. Each person needs an average 8,700 kJ of energy a day, so each person needs 16,000 turkeys in 100 years. This results in an answer of 12.
How many humans have ever lived?
I believe about 100 billion people have ever lived or 11.
Around 108 billion so 11
Question: How much energy (in joules) is an Einstein of infared light (Edit: infared light varies so wavelength of 1 mcm)
ir light is like 1000 nm so 1mcm. e = hc/lambda, h is -33, c is 8, and lambda here is -6. so e = -33+8-(-6) = -19. Then, add 24 to get 5.
e(per photon) = hc/lambda. h is 6.626e-34J*s, c is 3e8m, lambda is 10e-6m. Multiply them together and you get 1.88e-19J(per photon). Then multiply by avogadro's number (6.022e23) to get 113,000 J(/mole), which is 5
EDIT: I forgot to post a question. Give me one second while I come up with something
If I was 250 pounds and walked nonstop, but still consumed 2500 Calories daily, how much time would it take to reach 100 pounds, in terms of the lifetime of a 100 solar mass star?
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Re: Fermi Questions C

Postby Riptide » February 12th, 2018, 7:42 pm

If I was 250 pounds and walked nonstop, but still consumed 2500 Calories daily, how much time would it take to reach 100 pounds, in terms of the lifetime of a 100 solar mass star?
This is a pretty interesting question. I think you burn around 500 calories an hour walking, so that’s a net decrease of around E4 calories a day. Let’s assume E3 calories is 1 pound. This means it will take E5 days to burn off 150 pounds. I don’t know much about Astro, but I’m fairly confident the suns lifetime is E10 years, so I’ll assume a star 100x that will have a lifetime of E8 years. This gives a final answer of -5.
I found some contrasting information, but it looks like you would burn around 300 calories an hour walking if you are 250 pounds. This amount would change as you decrease your weight while walking, but just to keep it simple I'll assume a steady rate of 300 calories an hour. The net loss of calories is 4700 calories a day. 1 pound is equal to 3500 calories, so 150 pounds would take 525,000 calories to burn. It would take 111 days to burn off 150 pounds for walking nonstop. I couldn't find the lifespan of a 100 solar mass star, but according to a friend that does Astro it'd be around E6 years (idk how accurate that is). This gives a final answer of -7 (I feel like this could be completely off so someone correct me if you see any errors please)
Edit: Someone else just told me that it is E5 years, so the answer would change to -6
If for every Apple user in the world I had 84,000 nickels and 750,000 yen, how much money would I have in total in Hryvnia (currency of Ukraine)?
Last edited by Riptide on February 12th, 2018, 8:15 pm, edited 1 time in total.
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Re: Fermi Questions C

Postby Justin72835 » February 12th, 2018, 7:58 pm

If for every Apple user in the world I had 84,000 nickels and 750,000 yen, how much money would I have in total in Hryvnia (currency of Ukraine)?
I'm going to estimate that there are 1e9 Apple users. 
84,000 nickels = $4,200 and 750,000 yen = about $7500, so everybody gets around $1e4
This equates to $1e12 for the money held by all the Apple users.
Idk the conversion rate between Hryvnia and US dollars so I'll assume that its around 1e3 per dollar, which gives an answer of 1e15.

Fermi Answer: 15
588 million Apple users
84,000 nickels and 750,000 yen actually equates to $11,100.
The actual conversion rate is 27:1 RIP.
By equating everything you get an answer of 1.8e14.

Fermi Answer: 14
If you were to take all the water in Lake Michigan and set it over a regular campfire, how long would it take for the entire volume of water to change by 1 degree Celcius in seconds (assume that the water is heated equally throughout its volume)?
Last edited by Justin72835 on February 12th, 2018, 8:06 pm, edited 3 times in total.
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Re: Fermi Questions C

Postby PM2017 » February 12th, 2018, 8:03 pm

If I was 250 pounds and walked nonstop, but still consumed 2500 Calories daily, how much time would it take to reach 100 pounds, in terms of the lifetime of a 100 solar mass star?
This is a pretty interesting question. I think you burn around 500 calories an hour walking, so that’s a net decrease of around E4 calories a day. Let’s assume E3 calories is 1 pound. This means it will take E5 days to burn off 150 pounds. I don’t know much about Astro, but I’m fairly confident the suns lifetime is E10 years, so I’ll assume a star 100x that will have a lifetime of E8 years. This gives a final answer of -5.
I found some contrasting information, but it looks like you would burn around 300 calories an hour walking if you are 250 pounds. This amount would change as you decrease your weight while walking, but just to keep it simple I'll assume a steady rate of 300 calories an hour. The net loss of calories is 4700 calories a day. 1 pound is equal to 3500 calories, so 150 pounds would take 525,000 calories to burn. It would take 111 days to burn off 150 pounds for walking nonstop. I couldn't find the lifespan of a 100 solar mass star, but according to a friend that does Astro it'd be around E6 years (idk how accurate that is). This gives a final answer of -7 (I feel like this could be completely off so someone correct me if you see any errors please)
Edit: Someone else just told me that it is E7 years, so the answer would change to -8
If for every Apple user in the world I had 84,000 nickels and 750,000 yen, how much money would I have in total in Hryvnia (currency of Ukraine)?
Converting to dollars: 84,000/20 = 4200,  I'll assume a yen is OoM less than a dollar so 75,000 dollars, for a total of 79,200 dollars. I'd guess (without any reason, other than that a dollar has sooooo much value compared to most currencies, and I hadn't hear of a Hryvnia before) that a Hryvnia is also one OoM less than a dollar, so 792,000 Hryvnia, or 6. I'd say there's 9 apple users, bringing this up to 15
Converting to dollars: 84,000/20 = 4200,  A yen is 0.0092 dollars, so 750,000 yen = 6900 dollars (I'm surprised at this given how advanced a nation Japan is.) This brings the total up to 11,100 dollars. A hryvnia is 0.037 dollars, so a dollar is (1/0.037) Hryvnia = 27.03 Hryvnia. 11,100*27.03 = 300,033 Hryvnia. Then, times 588 million users, so 1.8e+14, so the answer is 14. (close enough I guess.)
Thanks for reminding me to add currency valuation to my fermi value sheet.

Question:

How many medals are won in Science Olympiad each season?




EDIT: RIPPPPPP, the user above me answered while I was typing this post. I guess the next person has to answer both questions or just choose lol
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Re: Fermi Questions C

Postby Justin72835 » February 12th, 2018, 8:08 pm

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Last edited by Justin72835 on February 12th, 2018, 8:12 pm, edited 1 time in total.
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Re: Fermi Questions C

Postby Name » February 12th, 2018, 8:11 pm

I'm going to estimate that there are 1e9 Apple users. 
84,000 nickels = $4,200 and 750,000 yen = about $7500, so everybody gets around $1e4
This equates to $1e12 for the money held by all the Apple users.
Idk the conversion rate between Hryvnia and US dollars so I'll assume that its around 1e3 per dollar, which gives an answer of 1e15.

Fermi Answer: 15
588 million Apple users
84,000 nickels and 750,000 yen actually equates to $111,000.
The actual conversion rate is 27:1 RIP.
By equating everything you get an answer of 1.8e14.

Fermi Answer: 14
If you were to take all the water in Lake Michigan and set it over a regular campfire, how long would it take for the entire volume of water to change by 1 degree Celcius in seconds (assume that the water is heated equally throughout its volume)?
Assume volume is around 3 km so 18 cm. Assuming energy from a campfire/ sec is 6 cal per sec so 12
Volume is correct. I can't find anything about energy from a fire but should be within 1
What is (plancks constant divided by Boltzmann's constant divided by avagados constant divided by gravitational constant divided by the elementary charge divided by speed of light)^2
Bonus: 1,000,000!
Edit: Scioly medals probably around 200 invites 6 medal per event, 47 medals (23 event 2 each 1 extra for ExDes) or 4E4 plus regionals/states/nats so probably 5
Edit 2: Actually not everywhere is like NY with most competitions having 6-10 medals so actually probably 4
Last edited by Name on February 12th, 2018, 8:21 pm, edited 2 times in total.
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