Fermi Questions Marathon

iwonder
Admin Emeritus
Admin Emeritus
Posts: 1112
Joined: May 10th, 2011, 8:25 pm
Division: Grad
State: TX

Re: Fermi Questions Marathon

Postby iwonder » December 15th, 2012, 8:16 am

Nice job with the question, but the point of the practice is that you don't use a calculator, since you can't use one in the event ;) (now if you did that in some reasonable time without a calculator, I applaud you)

User avatar
The Eviscerator
Member
Member
Posts: 189
Joined: February 27th, 2011, 12:28 pm
Division: C
State: NC

Re: Fermi Questions Marathon

Postby The Eviscerator » December 16th, 2012, 9:51 am

Central Park is about 1 mi^2. So for simplicity's sake we'll convert that to feet squared (1 mi^2)= (5280 ft* 5280ft)= 27,878,400 ft^2. If the grapevines are 5 feet apart they can be divided into sqaure units to make a grid within central park with each cell being 25 ft^2. So take (27,878,400/25) which gives you an answer of 1,115,136 cells. Assuming that the grapevines sit in the exact corners we can assume that 1 cell has all four grapevines and the rest have only two because two are already counted from a previous cell. So (1,115,135 * 2)= 2,230,270 + 4= 2,230,274. Giving an exponent of 6.

I'm a little new at this so let me try a question.
What is the molecular weight of water in an average 150lb man?
Well water is about 70% of a person's body weight. So it would just be .7(150)=100 lbs = E2

iwonder
Admin Emeritus
Admin Emeritus
Posts: 1112
Joined: May 10th, 2011, 8:25 pm
Division: Grad
State: TX

Re: Fermi Questions Marathon

Postby iwonder » December 16th, 2012, 11:00 am

But it's asking for molecular weight of water, so I think the 'average human' part is just to throw you off. The molecular mass of water is 18g/mole, so 1 would be the answer? It's oddly phrased.
'If you're the smartest person in the room, you're in the wrong room' - Unknown

Schrodingerscat
Administrator
Administrator
Posts: 343
Joined: March 2nd, 2011, 7:10 pm
Division: Grad
State: KS
Location: Kansas City metro

Re: Fermi Questions Marathon

Postby Schrodingerscat » December 18th, 2012, 9:47 pm

It appears there are currently no outstanding questions, so:

Two I would love to see solved my state test last year: (slight variations on them as I cannot remember exact wording)
What is the magnitude of the magnetic field 1 meter from an average tabletop lamp (Tesla)?
What is the magnitude of the electric field 1 meter from the same lamp (Volts per meter)?

Schrodingerscat
Administrator
Administrator
Posts: 343
Joined: March 2nd, 2011, 7:10 pm
Division: Grad
State: KS
Location: Kansas City metro

Re: Fermi Questions Marathon

Postby Schrodingerscat » February 5th, 2013, 8:25 pm

Or what is the bandwidth of a standard car filled with audio cassette tapes driving between LA and NYC in bytes/second (assume driving full time)?

fourLoko
Member
Member
Posts: 18
Joined: January 5th, 2013, 4:00 pm
Division: C
State: WA

Re: Fermi Questions Marathon

Postby fourLoko » February 5th, 2013, 8:41 pm

It appears there are currently no outstanding questions, so:

Two I would love to see solved my state test last year: (slight variations on them as I cannot remember exact wording)
What is the magnitude of the magnetic field 1 meter from an average tabletop lamp (Tesla)?
What is the magnitude of the electric field 1 meter from the same lamp (Volts per meter)?
For the first one:
B=(mu_o)*I/(2*pi*r) where mu_o is the permeability of free space ~4piE-7. Normal outlets are like E2 Volts and I guess I'll assume the resistance of the lamp is E2 which would lead to a current of E0.
So then we have (4piE-7)/(2pi*1) which is E-7 Tesla. I'm thinking it could be lower though. Any input?
Camas/Regionals/State
Astronomy (4/2/2)
Fermi (1/2/6)
Tech Problem Solving (1/3/4)
Circuits (2/4/1)
Experimental (7/1/2)
MagLev(-/2/8)

nomynameisnotkevin
Member
Member
Posts: 37
Joined: January 21st, 2012, 11:11 am
Division: C
State: IL

Re: Fermi Questions Marathon

Postby nomynameisnotkevin » April 7th, 2013, 1:56 pm


Here's a question taken from the Athen's Invite last year:
How many Barns are there in an Attometer?
Surely, the Barn you speak of is not an actual barn that a farm would have, right?

fourLoko
Member
Member
Posts: 18
Joined: January 5th, 2013, 4:00 pm
Division: C
State: WA

Re: Fermi Questions Marathon

Postby fourLoko » April 8th, 2013, 12:42 am

http://www.princeton.edu/~achaney/tmve/ ... unit).html

Pretty obscure and there's no way you'd get close to the answer without knowing it off the top of your head, which makes for a bad fermi question imo
Camas/Regionals/State
Astronomy (4/2/2)
Fermi (1/2/6)
Tech Problem Solving (1/3/4)
Circuits (2/4/1)
Experimental (7/1/2)
MagLev(-/2/8)


Return to “2013 Study Events”

Who is online

Users browsing this forum: No registered users and 1 guest