that's horrible. I hate when they do that. hmph!
lastest Conundrum?
Could somebody please post the text of the latest Conundrum? Thank you.
Eliz.
A mad scientist needs to conduct a strange experiment that only he really understands. He must fill a rectangular tank that measures 3 fathoms by 2 rods by 1/40 of a furlong. He fills it with a clear, odorless liquid with a density of about 3,678,675 grains per US hogshead.
How many kips of the substance does he require to fill the tank? Please round up to the nearest kip.
It confuses me based on what i have read on kips
So i can get the volume of the tank as 277.522326 Cubic meters but i have no clue of how to turn that into kips(kilopounds) KIps is a measurment of mass(wieght) or force and the question just asks you how much of the substance in kips. The Volume of the tank is how much it can hold becuase it says nothing about the tanks strength or whatever.
The Anwnser is either really hard or impossible as stated in the question based on my knowledge that is. Which is actuall really little but o well i give up
OK to get this i would think formula is Mass=Volume*Density(m=vd) That means that The volume and the density would have to be in the same unit of measure. Then You would have Convert that into kips Which is where i run into the problem
I need some feedback asap befor i confuse myself more
1 kip is 1000 pounds that seem like alot of substance for one scientist to handle if i don't figure this out or get help i'm just gonna put 1 my calculations come to 243,468,697 cubic meters
hogshead is like 64 gallons thats 8192 fluid ounces
hogshead is like 64 gallons thats 8192 fluid ounces
Hi guys... I just joined. I've all ready figured out the answer, but I use the US and not the metric system.... but if anyone wants me to walk them through it, I will post it... you just have to remember I use US measurements, but the answer is still correct...
Here we go....
I hope you can all follow this... out your thinking caps on... (once again, I'm doing this in US measurements... )
The tank is 3 fathoms x 2 rods x 1/40 furlong
fathom = 6ft, 3 fathoms = 3x6 = 18ft
rod = 5.5 yards , yard = 3ft, rod = 5.5x3 = 16.5ft, 2 rods = 33ft
8 furlongs = 1 mile = 5280ft, 5280/8 = 1 furlong = 660 ft
1/40 furlong = 660/4 = 16.5ft
volume = LxWxH = 18 x 33 x 16.5 = 9801 ft^3 (cubed, that is...)
so now we have the volume
3,678,675 grains/hogshead
one hogshead = two barrels , one barrel = 3.5 gallons so two = 7 gallons so a hogshead is 7 gallons
that means it's 3,678,675 grains/ 7 gallons so simplify and you get
525525 grains/gallon
now we just have to find out two more things...
the liquid volume (using a formula I care not to try and put into computer speak, it's just too complicated... there are probably online convertors out there....) comes out to be 73329.70724 US gallons remember they are us gallons... I see that you guys are use to working metric.... but in the end it all works out....
27 grains = one dram, one dram = 16 ounces, 16 ounces = 1lb so 27 x 16 x 16 = 6912 grains = one pound
525525 / 6912 = 76.03 per gallon of this type of fliud
so we have it now...
73329.70724 x 76.03 = 5575257.6414572
A kip = 1,000 lbs so we take 5575257.6414572 and divide it by 1000, and we get our answer of 5575.2576414572 rounded to the nearedt kip, is 5575 kips
There ya go guys! Now, the first time I did it I got 75.075 lbs/gallon, so my original answer was 5505 kips... that might bw right, but I have checked and checked again and gotten 5575... either way... you guys can try and figure it out now!
You are an order of magnitude off:
1 barrel - 31.5 gallons, NOT 3.5 gallons
1 lb = 7000 grains (1 dram = 27.34375 grain,
7.48 gallons/ft^3 (your answer for gallons is reasonably close, but you took an unnecessarily long route to get there when one simple conversion will do. This accounts for the error in your answer)
You should be able to get the correct answer from there. When converting, NEVER do 2 or 3 or 5 conversions when 1 will do it - you will introduce too much error into your calcs each time you round a number off.
rounding and conversion factors
Idaho wrote:When converting, NEVER do two or three or five conversions when one will do it - you will introduce too much error into your calcs each time you round a number off.
Definitely use as few conversion factors as you have to. Also, it can be very helpful to set everything up on paper (so you're sure all the unwanted units cancel) and then multiply and/or divide everything all at once. If you do your computations in one (possibly lengthy) calculator process, you can eliminate loads of round-off error.
Eliz.
thanks
Thanks guys! (I did try and figure this outat work, while still LOOKING busy!!!!) I had a feeling I had missed a few things by an tiny bit, I'm glad you guys could steer me a little straighter... It's been years since I really did any serious math.... so I am hoping to get back into the swing of things!!!
im confused whats teh answers, you guys lost me in your calculations
Answer!
So uhhh...guys what's the exact answer....
The calcs are already posted, along with the correct conversion factors. Figure it out. If you want to know if your answer is correct, you can always ask that question.
hey i got 619.47972 rounded up is 620 can ne1 help me n let me know if this is correct?
9801 ft^3 * 7.48 gallons/ft^3 = 73311.48 gallons
73311.48 gallons / 63 gallons per hogshead =1163.674286 hogsheads
1163.674286 hogsheads * 3678675 grains per hogshead = 4280779504 grains
4280779504 grains / 7000 grains per pound = 611539.9292 lbs
611539.9292 lbs / 1000 lbs per kip = 611.5399292 kips
Rounded up to the nearest kip it is 612 kips
I did the calcs in by converting everthing to metric first, and got the same answer as one of the 3 given above - but I'm not telling which one!
It doesn't take much working - especially with all of the info given on this page.
M
