Math question

[Rod in Smiths Falls, ON]

I cracked a bunch of walnuts from my first harvest. Curious as to what percentage of the nut was kernel, I bagged the shells in one shopping bag and the kernels in another, then suspended them on a balance consisting of a long piece of oak trim and a pivot point.

The bag with the shells hung 20" from the pivot. The bag with the kernels balanced at 50" from the pivot. All other things being equal, what is the ratio of kernel to hull in my strain of wild walnuts?

Thanks,

Rod Croskery
The Croskery Woodlot

 

[suptscottyb]

Let me try this. Your working with 20" and 50". A common denomitor would be 10 so, your harvest is 2/5ths shells. Or from each pound of nut crop you get 9.4 oz. of fruit and 6.6 oz of waste. I could be all wrong here, what do you think?? Is it a 40 / 60 split ? 60% fruit?

 

[Rod in Smiths Falls, ON]

28.5% kernel? 25% is average for black walnuts.

If the shells are x = 1, then the kernels are
y = 2/5. So the kernels are 40 parts of a total of 140, or 28% and a bit.

 

[Anonymous-0]

Old elementary school problems for kids? Balance factor from pivot is 20/50 =1/2.5, shells weigh 2.5 times as much as nuts harvested, nuts need 2.5 times length to balance. Harvest % about 40% nuts- about the same % as on OT board?. ;-) RN.

 

[NBAllen]

By my figures:
11.4 oz shell / lb nuts => 71% shell by weight
4.6 oz kernal / lb nuts => 28.5% kernal by weight

How I got there -

The shells were 20" from the pivot, the kernals were 50" from the pivot when the "system" balanced. Therefore, 20*S = 50*K. We don't know the total weight, so figure S + K = 1 lb.

This:
20*S - 50*K = 0
S = K-1

Combines to:
50*K -20*(1-K) = 0

And we get K = 2/7 = 28.5% kernal

Nathaniel


Somebody check my math, please!

 

[Anonymous-0]

Oops! 28% about right. 1/3.5 x 28 = close to 100. Just waking up.

 

[NBAllen]

Drat! Looks like I'm late to the game.

Nathaniel

 

[Anonymous-0]

Ive got it!You send me both bags and I will weigh them on this new-fangled invention called a scale.

 

[Anonymous-0]

That's not how it goes in school these days. here is a sample question;

You have one bag with 3 3/4 lbs. of walnuts

You have another bag with 2 2/3 lbs. of walnuts

Question; How many bags do you FEEL you have?

 

[Lanse]

Dang!!! Do your own homework no, thats NOT me.

 

[Davis In SC]

Any answer is OK, as long as you share part of the Walnuts with someone that has no Walnuts... The nuts must be shelled first, though...

 

[GeneMO]

When you figure out you lost 50% or better in county, state, and federal taxes, fees, permits, licenses, surcharges, excises taxes, etc, then another 10% in shrinkage, dock, moisture, and foreign matter, then spent another 10% in trucking and packaging you might as well stay on the porch and drink another cold one.


Gene

 

[Aaron Ford]

I will offer the same service. 'Cept the percetage of nuts may go down slowly until there is none left. Figure the shells will be safe though... unless I can get them to go through my media blaster. And I will better any other offer by 10 percent....

28.57% Nut
71.43% Shell

Gold Mine=Hers
Shaft=Mine

Aaron

 

[TyTX]

Simple answer:

The distance between shells and nutmeat is 70" and 20" are nutmeat while 50" are shells.

20/70 = nutmeat
50/70 = shells

2/7 = 28.57% nutmeat
5/7 = 71.43% shells

Roughly 1/3 of each unshelled nut is kernel(colonel).

The remainder must be enlisted persons.

 

[suptscottyb]

Don't let the govt. find out you got all those nuts - they will give them away until everybody has one.

 

[TomH in PA]

Here's an expert on nuts:

Untitled URL Link

 

[Anonymous-0]

Speaking of nuts, I'm sure you know that a peanut is not actually a nut at all. It is an indehiscent legume.

 

[Anonymous-0]

Excellent!!

 

[Anonymous-0]

Well,
Those aren't indehiscent legumes.
They're more like indecent legumes.

 

[Davis In SC]

Yep, Walnuts will be on the WIC list. along with all the other free food... Half of the folks at the supermarket are on WIC, foodstamps, or some other program...

 

[Pete in MD]

You asked "...what is the ratio of kernal to hull...".

The ratio is: 1 to 2.5

 

[TripleRange]

Are we supposed to neglect the friction of the pivot and assume the oak trim you are using does not deflect?

 

[Jeff-oh]

By weight the kernels are 2.5 times more than the hauls.... 50/20 = 5/2 = 2.5/1.

 

[Jeff-oh]

Deflection in oak trim is negligible. Even a 1" deflection would only shorten the moment arm by .0025 inches.

 

[Jeff-oh]

This is not how it works. The sum of the moments about the pivit is zero, else the rod would tip.

Thus. Weight of shells (WS)* 50in = Weight of meat (WM) * 20

Do some division: WM/WS= 50/20 = 2.5/1

Thus of the whole weight of the nut you can expect 71.4% to be meat and 28.5% shell.

 

[David, Surrey UK]

(quoted from post at 00:49:25 10/09/07) That's not how it goes in school these days. here is a sample question;

You have one bag with 3 3/4 lbs. of walnuts

You have another bag with 2 2/3 lbs. of walnuts

Question; How many bags do you FEEL you have?

Question: How do you think the tree feels, having its nuts picked and taken away by the farmer? Write the words to a song you think the tree might sing. (Marks will not be deducted for incorrect spelling.)

:roll: David