Callin all "smartasses".......

[Chromegorilla]

No not those types..... engineer/geek types......Since nobody can agree on the magical plane conveyer belt answer..... here is a problem I had on my exam today in class...... and yes....there is an answer and no you don't need anymore info than givin... so don't ask...... :crossx: Good luck fockers!
This is a gearbox with 3 gears in it. Gear 1 has 25 teeth, gear 2 has 20 teeth and the third has 30 teeth. The box is 250 mm deep (meaning front to back, not top to bottom). Also there is 10 mm of spacing between the gears and each end of the box. Using the information in the drawing how many quarts of oil will be required to obtain a depth of 50 mm with the gears removed (ie not displacing any oil)? The drawing is not to scale.
http://www.***boat.com/image_center/data/500/2445gearboxmath.JPG

[76ANTHONY]

UMMMMMM, not much? :D :D

[Biglue]

I know the answer, but I'm not the one with the exam now am I???? :crossx: :crossx: :crossx: :crossx:

[Chromegorilla]

LOL...I already took my exam....... I know the answer........ :)

[hoolign]

What I am curious about is why they are using both metric and standard measurements in the same question. "mm" and 'quarts"..... hmmm

[riverroyal]

it til the dipstick shows full.....what class has this test?

[AltarGirl]

6 inches. Final Answer :argue:

[HM]

What is with all the freshman level questions? Perhaps even Highschool AP level?

[ROZ]

I'm going to take a quick guess at just shy of 2 quarts

[Rexone]

This one's easy. Take a container of known quantity of oil. Pour oil in gearbox till 50mm deep. Measure oil left and subtract from total. That's my answer and I'm stickin with it.

[HOOTER SLED-]

Top the bitch off.

[572Daytona]

I come out with somewhere around .10 quarts but I may have messed up one of the conversions somewhere along the line

[Cole Trickle]

eleventy-billion :idea:

[Sleek-Jet]

3...

[ROZ]

I come out with somewhere around .10 quarts but I may have messed up one of the conversions somewhere along the line
well, a milimeter is about .039"
and 57.75 cu" in a quart
I did a basic guess.... no calculator

[h2oski2fast]

.749 quarts

[Chromegorilla]

eleventy-billion :idea:
LMAO.....

[Sleek-Jet]

Anyone willing to show their work??? :D

[lucky]

if this was beer - you fockers would have it peggged

[HocusPocus]

D. None of the above

[Chromegorilla]

The asking for the amount in quarts just makes it a PITA factor by requiring a metric to standard conversion.....
Hint...... Volume equals L x W x H..... simple enough....
You already have 2 of the 3 dimensions.......
50mm x 250mm x Whatever the inside dimension is......
The hard part is figuring out the inside dimension.

[SummitKarl]

What I am curious about is why they are using both metric and standard measurements in the same question. "mm" and 'quarts"..... hmmm
Metrish. a common U.S. standard :)

[Chromegorilla]

if this was beer - you fockers would have it peggged
Truer words may have never been spoken.... :rollside:

[Sleek-Jet]

I cheated and used an online conversion tool for the volume... but has anyone come close yet??

[HM]

The asking for the amount in quarts just makes it a PITA factor by requiring a metric to standard conversion.....
Hint...... Volume equals L x W x H..... simple enough....
You already have 2 of the 3 dimensions.......
50mm x 250mm x Whatever the inside dimension is......
The hard part is figuring out the inside dimension.
Please....make it a little challenging by calculating volume without the gears removed. I ain't gonna brush off my B.S. in Physics and M.E. for simple conversions. :D

[Chromegorilla]

I have recently got a job a Michelin. Michelin is a French company so EVERYTHING in the plant is metric. I actually prefer metric...... it's sooo much easier to work with.... Hell even all our blueprints are in French. It's funny as hell listening to some of the redneck around here reading them.....

[ROZ]

The hard part is figuring out the inside dimension.
How thick are the teeth of the gears and how far apart are teeth? :D
I want to know how you plan to put 2.04321467 quarts in that thing ... measuring cup ? :D

[572Daytona]

I couldn't find number of cu mm in a quart but there are 946.352946 cu cm in a quart so that would mean 946,352.946 cu mm. If I calculate it again, I come up with:
Volume = 207.5 x 50 x 250 = 2,593,750 cu mm / 946,352.946 ~= 2.74 quarts
I must have converted something wrong the first time.

[ROZ]

I have recently got a job a Michelin. Michelin is a French company so EVERYTHING in the plant is metric. I actually prefer metric...... .....
but you don't want this in litres? :D

[Chromegorilla]

Please....make it a little challenging by calculating volume without the gears removed. I ain't gonna brush off my B.S. in Physics and M.E. for simple conversions. :D
Holy moly.....I can break out a hard one....... like taking a cube and drilling out 3 indentical cylinders each perpendicular to the other 2, that intersect in the middle of the cube, then calculating the volume of the cube when cylinders are gone..... :crossx:

[ROZ]

I couldn't find number of cu mm in a quart but there are 946.352946 cu cm in a quart so that would mean 946,352.946 cu mm. If I calculate it again, I come up with:
Volume = 207.5 x 50 x 250 = 2,593,750 cu mm / 946,352.946 ~= 2.74 quarts
I must have converted something wrong the first time.
How did you get yout 207.5 ? did you cheat and measure the gears you have on hand in your garage? :D

[lucky]

I have to ask 1 question - what is the width of the case
we have how long it it is , and how deep the oil needs to be ( with the gears removed ) but i need to know how wide the case is , cause if its a mile wide - I'm calling for the exxon valdez !

[Sleek-Jet]

I came up with 225.44mm x 250mm x 50mm = 2818 cubic cm/2.97 qts

[ROZ]

How did sleek come up with 225mm ? :D

[572Daytona]

How did you get yout 207.5 ? did you cheat and measure the gears you have on hand in your garage? :D
I used basic algebra, assuming the gears are proportional based on #of teeth
If x = the radius in mm of a 1 tooth gear then
25x + 2(20x) + 30x = 118.75
95x = 118.75, x=1.25
So then the total length is
10 + 25(1.25) + 118.75 + 30(1.25) + 10 = 207.5

[Chromegorilla]

I couldn't find number of cu mm in a quart but there are 946.352946 cu cm in a quart so that would mean 946,352.946 cu mm. If I calculate it again, I come up with:
Volume = 207.5 x 50 x 250 = 2,593,750 cu mm / 946,352.946 ~= 2.74 quarts
I must have converted something wrong the first time.
This is as close as you can get without getting it correct.....
Your 207.5 is close but not right...... It is exactly 5 mm off........ because after you figure out the diameter of the end 2 gears you need to add the "addendum" of the teeth to 207.5 twice...once for each gear. The addendum is the part f the tooth that extends beyond the PCD.... the pitch circle diameter...... But you came the closest.

[Sleek-Jet]

How did sleek come up with 225mm ? :D
Not the right way, so I know my answer is wrong, but I'd like to know if I'm close. :D

[Sleek-Jet]

I used basic algebra, assuming the gears are proportional based on #of teeth
If x = the radius in mm of a 1 tooth gear then
25x + 2(20x) + 30x = 118.75
95x = 118.75, x=1.25
So then the total length is
10 + 25(1.25) + 118.75 + 30(1.25) + 10 = 207.5
I tried it by way of a ratio and ended up long... fun excersize though.

[Chromegorilla]

OK..... I am typing it out all the way... give a couple minutes..... the answer is 2.82 Qts.

[Red Eye]

Why are they still asking questions that 99% of us won't use in real life? :D

[lucky]

my head hurts --thanks

[572Daytona]

This is as close as you can get without getting it correct.....
Your 207.5 is close but not right...... It is exactly 5 mm off........ because after you figure out the diameter of the end 2 gears you need to add the "addendum" of the teeth to 207.5 twice...once for each gear. The addendum is the part f the tooth that extends beyond the PCD.... the pitch circle diameter...... But you came the closest.
I was assuming, that the 10mm was including that addendum. The picture needs the little pointy things drawn on to tell for sure :)

[HM]

Holy moly.....I can break out a hard one....... like taking a cube and drilling out 3 indentical cylinders each perpendicular to the other 2, that intersect in the middle of the cube, then calculating the volume of the cube when cylinders are gone..... :crossx:
Please....if you want to break out a hard one (fag) :D, lets make the equation dynamic. The static stuff I use to do in my sleep....really, I dreamed about it. Lets calculate the sheer of a mixing paddle in a thixotropic liquid with a neglibable recovery under dynamic sheer(we got to limit the variables somewhere).
If you want to go for some static equations, atleast do some with force, like the torque on a bolt holding a one of 1000 cables on a suspended bridge with several moving vehicles. You can specify cable length or cable angle, but not both....Those were always fun.

[Chromegorilla]

OK so the trick is to find the radii of gear 1 an gear 3. This is done a couple of different ways. This is just 1.
PCD= Pitch circle diameter
M= Module (or pitch)
A= addendum
T= # of teeth
PCD= (M)x(T)
M=A
So to find out how wide it is from the left side of gear 1 to the right side of gear 3 we do the following (I'm leaving out the mm units to keep it a little cleaner)
(PCD(M))/ 2 + PCD(M) + (PCD(M))/2 = 118.75
((25M)/2) + 20M + ((30M)/2) = 118.75
12.5M + 20M + 15M = 118.75
47.5M = 118.75
47.5M/47.5 = 118.75/47.5
M = 2.5
PCD= M(T)
PCD1= 62.6
PCD3= 75
So now that we know the PCD of the gears we can add their radii to the 118.75.
31.25 + 37.5 + 118.75 = 187.5
You must now add the length of the remainder of the teeth to the PCD's. This is the addendum of the tooth...the part that extends beyond the PCD to the outside diameter and since A=M M=2.5 we must add 2.5 to the left gear and to the right gear so we need an extra 5.
So adding the 5 for the addendums and 20 for the (2) 10 mm gaps between the gears and the walls.....
187.5 + 5 + 20 = 212.5
So the length from inner wall to inner wall in 212.5mm
So Volume = H x L x W 50mm x 212.5mm x 250mm = 2656250 mm cubed.
2656250 cubic mm = 2.656 cubic dm = 2.656 liters
Since 1 liter = 1.06 quarts
2.656 x 1.06 = 2.81536
You need 2.82 quarts of oil.
Jesus christ.....did I really just type all of that........ time for summer.

[Chromegorilla]

Please....if you want to break out a hard one (fag) :D, lets make the equation dynamic. The static stuff I use to do in my sleep....really, I dreamed about it. Lets calculate the sheer of a mixing paddle in a thixotropic liquid with a neglibable recovery under dynamic sheer(we got to limit the variables somewhere).
If you want to go for some static equations, atleast do some with force, like the torque on a bolt holding a one of 1000 cables on a suspended bridge with several moving vehicles. You can specify cable length or cable angle, but not both....Those were always fun.
Would you like ft/lbs or N/m? :notam: :D ;)

[HM]

Would you like ft/lbs or N/m? :notam: :D ;)
Why don't you make up your own unit of measurement, then provide the conversion to ft/lbs, then give the problem in joules. :D
Where you going to school and what program?

[Chromegorilla]

Why don't you make up your own unit of measurement, then provide the conversion to ft/lbs, then give the problem in joules. :D
Where you going to school and what program?
I just got out of the military and got hired at Michelin. I will be a trouble shooter for them. Right now, I go to school full time on their dime and get full time pay as well. Pretty good deal. Right now I am taking some basic mechanical courses and some calc courses.