Math question, are you smarther than a 5th grader?

[shortgrass01]

Conversions to know:
GPM = GPA x MPH x W
5940
GPA = 5940 x GPM
MPH x W
MPH = Distance (feet) x 60
Time (Seconds) x 88
1 ACRE = 43,560 sq ft

my question is where do they arive at these numbers?
GPA = 5940 x GPM
5940?

2) MPH = Distance (feet) x 60
Time (Seconds) x 88
60? and 80?
where do these number arive from...

no short bus jokes...plz...lol

[shortgrass01]

found one answer.....*(1 MPH = 88 feet in 60 seconds)
and I belive 5940 is like the pi symbol 3.14. a constant

[Happy Frog]

Get back to school and stay off the drugs... :laugh:

[Fvstringpicker]

Your formulas are not clearly written and appears to be wrong. But 5940 is a constant to convert gpm, mph and width in inches to gpa. I'd rather do the calculations in long form

[Happy Frog]

Here you go:

GPM = (GPA x MPH x Width in inches) / 5940
GPA = (5940 x GPM) / (MPH x Width in inches)
MPH = (Distance in feet x 60) / (Time in Seconds x 88)
1 ACRE = 43,560 sq ft

[Ric]

Your formulas are not clearly written and appears to be wrong. But 5940 is a constant to convert gpm, mph and width in inches to gpa. I'd rather do the calculations in long form

5String picker

I am with you that the formula is not correct. As Happy Frog pointed out, there should be some division where he is multiplying. I like my old long formula.

First I start with the width of the boom or fertilizer spreader. If I walk or ride at a constant 3 MPH, I cover 264 ft in a minute at 5280 ft a mile or 88 ft per minute per MPH. If my width is 10 feet, I cover 2,640 sq ft in a minute. If my sprayer puts out 4 GPM I divide that by the 2.64 K to find I am applying approx 1.5 gallons per thousand or times 43.56 to find 65 gallons per acre. Cut your GPM in half and you cut your GPA in half. Increase your speed by twice and you decrease your GPA by half Etc.

[shortgrass01]

Aye, I just copied the messurements table in order to show you guys.. so I could ask where the 5940 number came from, but from i found it to be like- pi (3.14) for example.
so, I am ok with that.. I just like to know where all the numbers are comming from when I am learning an math equation.
I was studding the Calibration of pesticide equipment, I wanted to fully understand what was going on when Calibrating equipment and messuring.

thanks

[Fvstringpicker]

In the formula GPM = (GPA x MPH x W)/5940 there are several constants; square feet per acre, feet in a mile, and time measured in minutes. MPH x W provides the square feet of coverage in a hour. You're looking for gallons per minute. 5940 is a factor derived from the the constants that converts square feet per hour (mph x w) and gph into gallons per minute without having to go through the steps of finding sq ft per minute, determining the time to cover 43,560 sq ft and and computing the gallons per min based on the time involved.

[shortgrass01]

In the formula GPM = (GPA x MPH x W)/5940 there are several constants; square feet per acre, feet in a mile, and time measured in minutes. MPH x W provides the square feet of coverage in a hour. You're looking for gallons per minute. 5940 is a factor derived from the the constants that converts square feet per hour (mph x w) and gph into gallons per minute without having to go through the steps of finding sq ft per minute, determining the time to cover 43,560 sq ft and and computing the gallons per min based on the time involved.

yeah, what he said ^

but how did they come up with 5940/ gal per acre. Like the next one 136= a constant to covert gallons per min, miles per hour and inches to gallons per 1000 sq ft.

this is why I disliked algerbra; it always seemed to me they were picking number from out of the sky to make the math work...
it like sticking your finger into a electrical socket:dizzy:

[Fvstringpicker]

Look at a problem computed the long hand way. (the way I like). Here are the numbers

20 gal per acre
2 mph
2 ft wide

At 2 mph you're covering 10,560 linear ft per hour meaning @ 2 ft wide swath you're covering 21,120 sq ft. in an hour. Hence it takes you 2.0625 hours to cover an acre. (43560/21,120) Since you want to know gallons per minute, you need to convert 2.0625 hours into minutes, so 60 X 2.0625 = 123.75 minutes per acre. So, you're putting out 20 gal in 123.75 minutes or .1616 gal/min.

Now, for how they got 5940. Take their formula assuming we don't know the factor 5940. We'll call it F?

GPM = [GPA x MPH x W( in inches)] / F?


Substitute numbers you have:
.1616 (GPM from above) = [20 (gpa) x 2 (mph) x 24 (W in inch)] / F? So,

.1616= 960/F?

F? = 960/.1616
F? = 5940 adjust for rounding diff

5940 can be used as the factor because of constant sq ft per acre and "ratios" of MPH:feet and time. If you solve any problem the "long hand" way and then solve F? like we did, you'll constantly get 5940. Similar to your example of pi.

[Happy Frog]

Look at a problem computed the long hand way. (the way I like). Here are the numbers

20 gal per acre
2 mph
2 ft wide

At 2 mph you're covering 10,560 linear ft per hour meaning @ 2 ft wide swath you're covering 21,120 sq ft. in an hour. Hence it takes you 2.0625 hours to cover an acre. (43560/21,120) Since you want to know gallons per minute, you need to convert 2.0625 hours into minutes, so 60 X 2.0625 = 123.75 minutes per acre. So, you're putting out 20 gal in 123.75 minutes or .1616 gal/min.

Now, for how they got 5940. Take their formula assuming we don't know the factor 5940. We'll call it F?

GPM = [GPA x MPH x W( in inches)] / F?


Substitute numbers you have:
.1616 (GPM from above) = [20 (gpa) x 2 (mph) x 24 (W in inch)] / F? So,

.1616= 960/F?

F? = 960/.1616
F? = 5940 adjust for rounding diff

5940 can be used as the factor because of constant sq ft per acre and "ratios" of MPH:feet and time. If you solve any problem the "long hand" way and then solve F? like we did, you'll constantly get 5940. Similar to your example of pi.

So you are smarter than a 5th grader... :laugh:

[shortgrass01]

my friend, you seem to have a full understanding of Calibration Procedure. Just as soon as I have this down pat like yourself Ill be ready.

Calculating area's is easy.
Calibration Procedure and Nozzels, im spend more time on. I want to know it well.


my test is on the 14th of april..
:drinkup:

[Grandview]

my friend, you seem to have a full understanding of Calibration Procedure. Just as soon as I have this down pat like yourself Ill be ready.

Calculating area's is easy.
Calibration Procedure and Nozzels, im spend more time on. I want to know it well.


my test is on the 14th of april..
:drinkup:

Should have paid attention to the algebra teacher not the girl next to you.

[shortgrass01]

Should have paid attention to the algebra teacher not the girl next to you.

Grandview, you have no idea- how right you were on that... her name was "Tina"
I continued to chased her for 3 years out of high school... If I spent half of the time and money on studies, than on women. Id be rich and a Genius.
women are way over rated these days....:hammerhead:

[Happy Frog]

The 5940 "constant" is the side of an acre (in inches) divided by the distance (in feet) travelled in one minute (distance travelled at 1 mph)

(43560*12)/88=5940

[Fvstringpicker]

The 5940 "constant" is the side of an acre (in inches) divided by the distance (in feet) travelled in one minute (distance travelled at 1 mph)

(43560*12)/88=5940

Looks like you're smarter than a 5th grader also.