Good work, Peter. You got it.
Measured from the apex, it is the cubic root of one half,
and it’s almost 0.8
Now to the sphere.
Please let me know if you have trouble with it.
(Sorry if someone already mentioned this way, can’t read through 280 posts)
Here’s what I did when It happened to me a few years ago…
1-Fill up.
2-Mark stick full and half.
3-Drive.*
4-Fill tank up again and calculate MPG’s.
5-Multiply MPG by total fuel capacity.^
6-Drive
7-When 1/4 of possible mileage reached, mark stick @ 3/4.
8-When 3/4 of possible mileage reached, mark stick @ 1/4.
- There’s lots of other stuff to take into account, like speed, weight, traffic, region, etc. But a Truck driver would realize this and match performance in both “Drive” phases to get an accurate Baseline.
^ “Un-usable” fuel is irrelevant here. It’s only 10 gallons or so in a 100 to 250 gallon tank that we’re talking about.
Not quite. Me thinks it requires two or three more posts.
Hold on – why would he need the dowel rod to show the exact 1/4 tank mark – wouldn’t the first approximation of 5" be good enough? He’s not going to stop every 20 miles to remeasure!
Taking a step farther back… does it make sense to transport turkeys from Florida to Missouri?
As for turkey wings, they’re only good for stock. No one is going to pay anyone to transport them from one state to another!
If Rich doesn’t care about getting his fuel gauge fixed, why should I help him?
If he doesn’t know how far he can go on a full fuel load, why did I hire him?
Take it to the shop and get it fixed, then you won’t have to worry about a stick.
Since the consensus seems to be that we should perpetuate this thread ad infinitum, I am happy to do my part.
Rich should just figure it out.
How many people here think he has ever read this thread?
Whitey’s dead horse graphic was on the mark.
The Final Answer is…
3/4 full dip stick should read 20 - 6.1 = 13.9 inches
1/4 full dip stick should read 6.1 inches.
with rounding.
(10cos(90-X) * 10sin(90-X))/2 + (XPIr^2)/360 = PI(100)/8.
Then Solve for X = ~22.89 degrees.
10cos(90-22.89) = ~3.9
10 - 3.9 = 6.1 inches from the bottom
20 - 6.1 = 13.9 inches from the top
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Go to the very last post on this big issue about post 290 by Kevingets. This is the answer.
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You mean you weren’t aware that that had already been posted?
must have missed it when scrolling though the posts. Oh well…
The Final Answer is....3/4 full dip stick should read 20 - 6.1 = 13.9 inches
1/4 full dip stick should read 6.1 inches.
I can’t believe that, not only are people still posting answers to this, but wrong ones at that. I thought the correct answer (approx. 5.96 inches) had been given and explained enough times on here that no one would still be posting answers, let alone incorrect ones. Amazing.
The beatings will continue until the dead horse’s morale improves.
I saw your AutoCad Presentation. It is incorrect! Seriously. The correct answer is:
3/4 full = 13.9
1/4 full is 6.1
You see jt1979, that when the stick is placed into the fuel, the stick displaces some liquid causing the liquid level to rise. So a 5.96 measurement on the stick would indicate less than 1/4 level. The added .14 inches compensates for the displacement of liquid by the stick. Thus and henceforth, the actual measurement is 6.1 inches.
You really need to account for liquid displacement caused by the stick … it is Amazing that YOU did not see that. Your calculation does not take liquid displacement into account. HAHAHA I GOT YOU.
Assuming the trucker uses a a 2x2 or 2x4 or 2 inch diameter rod as a measuring device. I assume he will not use a pixie stick. LOL
5.96 is incorrect. Sorry
By the way… why all the fuss over “exactness”… It’s a darn fuel tank, I personally think that 6.1 and 13.9 are “okay” estimations. Just as 5.96 is a good estimation.
Nice try. I think what we’ve all been trying to calculate is the theoretical distance, disregarding the displacement of the measuring device. I don’t see anything in your equation that takes into account the displacement. And you’re assuming that he uses either a 2x2, 2x4 (which wouldn’t fit into any truck fuel tank I’ve ever seen), or a 2 inch diameter rod? Those don’t even remotely displace the same amount of liquid!
Again, nice try, but it appears you were trying to find the theoretical 25% mark just as the rest of us were. If you want to throw in displacement caused by the measuring rod/stick, you might as well count the displacement of the fuel lines and such that are in the bottom of the tank ? and then it becomes virtually impossible to actually calculate (mathematically) the exact 1/4 point.
Looks like by the time this gets figured out Rich will have saved up enough to buy a new truck…with working gas gauge!