your favorite equations for build seasion

[team 3311]

Just wanted to know some of your favorite physics and math equasions during build seasions thanks.

mine is pathagriom therom

[Taylor]

One I thought about when I was a Junior in high school
F=ma, right?
Work = Fd, agreed?
So,
work is mad

(This is one of those times I wish the "therefore symbol" was on the keyboard - you know, the three dots that form a triangle.)

[apalrd]

While programming a crab drive back in 2009, the arctangent function was my friend. Then sin and cos became my friends too. Sooo much math in 4-wheel independent steer independent drive crab drives.

[tomy]

so far mine has been nested if statements with nested statements in them

we did this for our arm

3 hours of programing and only 10 lines of code :p

[team 3311]

QUOTE=Taylor;1015838]One I thought about when I was a Junior in high school
F=ma, right?
Work = Fd, agreed?
So,
work is mad

(This is one of those times I wish the "therefore symbol" was on the keyboard - you know, the three dots that form a triangle.)[/QUOTE]

Work is force/distance

don't mean to be rude just wanted to help

[jamie_1930]

How can you go a day through life without using these babies:
-PV=nRT
-sin, cos, tan, sec, csc, cot
-F=ma
-W=FD
-t=Fr
-P=W/T
-All unit conversions (although annoying. All for the metric system say "I")

[team 3311]

QUOTE=Taylor;1015838]One I thought about when I was a Junior in high school
F=ma, right?
Work = Fd, agreed?
So,
work is mad

(This is one of those times I wish the "therefore symbol" was on the keyboard - you know, the three dots that form a triangle.)

You are right about the formulas

[jamie_1930]

QUOTE=Taylor;1015838]One I thought about when I was a Junior in high school
F=ma, right?
Work = Fd, agreed?
So,
work is mad

(This is one of those times I wish the "therefore symbol" was on the keyboard - you know, the three dots that form a triangle.)

Work is force/distance

don't mean to be rude just wanted to help[/QUOTE]

I don't mean to be correct, but check again
W=Fd

[pfreivald]

(lowercase) tau = I*omega (lowercase)
P = IV

[dodar]

GP + Fun = WIN!!!

[Team#2057-Vegas]

Work is force/distance

don't mean to be rude just wanted to help

I don't mean to be correct, but check again
W=Fd

its force x distance, he had it right. the full equation is technically F(D)cos(theta)

[artdutra04]

(This is one of those times I wish the "therefore symbol" was on the keyboard - you know, the three dots that form a triangle.)You don't have a ∴ key? It's right next to 'Any' key. :p

[pfreivald]

You don't have a ∴ key? It's right next to 'Any' key. :p

...which is right next to the Easy Button...

[demosthenes2k8]

...which is right next to the "compile faster" button...

T = ((et)^5) + 7s

Give up? Hint. et is estimated time, T is actual time. s is the number of times you say it'll be easy.

[ajd]

...which is right next to the "compile faster" button...

T = ((et)^5) + 7s

Give up? Hint. et is estimated time, T is actual time. s is the number of times you say it'll be easy.

So if I say it will take half a minute, then it will actually take one thirty-second of a minute, assuming I don't say it will be easy at all?

[ttldomination]

Idk, but the Law of Cosines has become more sexy than usual...

[,4lex S.]

Internet + Cats = Robot that doesn't work and isn't built.

[MarkoRamius1086]

Most Used: (Machine Shop Algebra for finding the coordinates for paired symmetrical holes on material. With d1 being the material length, d2 being the hole pattern, and x being the distance from the hole center to the edge of the material)
x = (d1/2)-(d2/2) = (d1-d2)/2

Most Reliable: Newton's Second Law

Least Favorite: Murphys Law

[Basel A]

I've been modelling some of our robot's movements using an intersection of two circles..

(x-a)^2 + (y-b)^2 = r^2
It is ftw

[Matt Krass]

Can't believe no has said this yet:

V = IR

(I^2)R = VI = P

Or, to have some fun:

Fs >= 2B (any takers? it's not an exact formula, more of a theorem, and kind of hard to represent without proper math symbols)

Matt

[iblis432]

mine is used for when i get tired of the code stopping for stupid reasons

while true==true

[PAR_WIG1350]

Idk, but the Law of Cosines has become more sexy than usual...

Trigonometry has always been rather attractive from my perspective
<3<3<3<3<3

[mwtidd]

A nice little as3 script for parsing the FIRST website :)

var temp:ArrayCollection = ArrayCollection(event.result);
var tempString:String = "";
var sentUrl:String = temp.getItemAt(0) as String;
var eid:String = sentUrl.substr(sentUrl.search("eid=")+4,sentUrl.length);
eid = eid.substr(0,eid.search("&"));
for(var n:int = 1; n < temp.length; n++){
tempString+=temp.getItemAt(n);
}
tempString = tempString.substr(tempString.search('<tr bgcolor="#FFFFFF">'),tempString.length);
tempString = tempString.substr(0, tempString.search('</table>'));
var i:int = tempString.search('\t');
while( i != -1){
tempString = tempString.replace('\t',' ');
i = tempString.search('\t');
}
i = tempString.search('<br />');
while( i != -1){
tempString = tempString.replace('<br />',' ');
i = tempString.search('<br />');
}
i = tempString.search('nowrap');
while( i != -1){
tempString = tempString.replace('nowrap',' ');
i = tempString.search('nowrap');
}

tempString = "<table>" +tempString+"</table>";
var xml:XML = XML(tempString);
for(i = 0; i < xml.children().length(); i++){
var location:String = xml.child(i).child(0).child(0).toString();
var name:String = xml.child(i).child(1).child(0).toString();
var url:String = "https://my.usfirst.org/myarea/index.lasso?page=event_details&eid="+eid+"&-session=myarea:C77D640504fbb2FB82SVt2270655"
var number:String = xml.child(i).child(2).child(0).child(0).toString() ;
var service:EventService = new EventService();
service.addMember(parseInt(eid),parseInt(number));
}

[FRC4ME]

Well, in 2009 (Lunacy) our favorite equation was F=uN, or "fun," as we called it, to the point that the judges mentioned our use of "the equation 'fun'" during our DTT award speech at Championship.

All for the metric system say "I"

Jay.

[EricH]

For those saying that W=Fd is wrong, "d" is often used for distance. You could also use "l" for "length", but "d" is more common.

I kind of like the following:

Stress = F/A.
Stress = Homework/Time.
Therefore, Homework is a force.

Oh, and then there's this one:

Reading + Manual + Updates + Q&A = someone who knows the rules and doesn't have to ask [current most annoyingly common rules question].

[demosthenes2k8]

Ehhhh. I should have mentioned that it only works for whole numbers. So measure in seconds.

[RoboMaster]

W=[delta]KE
Or, WAKE!!!! (as in: wake up you sleepy robotics student!)

This one is pretty nice too:
motor in = (joystick out)^3
That keeps the freshmen from cranking on the joysticks to much.

[Cyberphil]

-All unit conversions (although annoying. All for the metric system say "I")

I

My favorite, and most used would have to be F=ma, hands down.

[FRC4ME]

Idk, but the Law of Cosines has become more sexy than usual...

Reminds me of 2007. I was taking geometry in high school at the time, and it was awesome to be able to apply that to locating the poles on the rack. We ended up using about 80% of the IFI controller's processing power that year with all of the trig during autonomous.

And then in 2009 I was taking high school physics...man, my high school FRC experience was perfectly timed. :)

[Andrew Schreiber]

A nice little as3 script for parsing the FIRST website :)

var temp:ArrayCollection = ArrayCollection(event.result);
var tempString:String = "";
var sentUrl:String = temp.getItemAt(0) as String;
var eid:String = sentUrl.substr(sentUrl.search("eid=")+4,sentUrl.length);
eid = eid.substr(0,eid.search("&"));
for(var n:int = 1; n < temp.length; n++){
tempString+=temp.getItemAt(n);
}
tempString = tempString.substr(tempString.search('<tr bgcolor="#FFFFFF">'),tempString.length);
tempString = tempString.substr(0, tempString.search('</table>'));
var i:int = tempString.search('\t');
while( i != -1){
tempString = tempString.replace('\t',' ');
i = tempString.search('\t');
}
i = tempString.search('<br />');
while( i != -1){
tempString = tempString.replace('<br />',' ');
i = tempString.search('<br />');
}
i = tempString.search('nowrap');
while( i != -1){
tempString = tempString.replace('nowrap',' ');
i = tempString.search('nowrap');
}

tempString = "<table>" +tempString+"</table>";
var xml:XML = XML(tempString);
for(i = 0; i < xml.children().length(); i++){
var location:String = xml.child(i).child(0).child(0).toString();
var name:String = xml.child(i).child(1).child(0).toString();
var url:String = "https://my.usfirst.org/myarea/index.lasso?page=event_details&eid="+eid+"&-session=myarea:C77D640504fbb2FB82SVt2270655"
var number:String = xml.child(i).child(2).child(0).child(0).toString() ;
var service:EventService = new EventService();
service.addMember(parseInt(eid),parseInt(number));
}

I think we need to introduce you to our friend the regular expression...

Favorite equation for this build season? Torque = r x F. Law of Cosines comes in a close second. Though, I am also a pretty big fan of: Position = ∫∫Acceleration and the cylindrical coordinate system.

[Zuelu562]

C(amps) = V/ohms. Seems to be very useful this year. A lot of people seem to be burning out stuff by putting them to incorrect electrical loads (D-Links, for instance X.X).

Also, R + T + M = (Occasional Lack of) Knowledge ::rtm::

[fox46]

I can't believe I haven't see one of the most important minibot equations!?

Ep = mgh

[Astarties]

You don't have a ∴ key? It's right next to 'Any' key. :p

I like using that symbol on homework and imagining that the predator is targeting my homework.

pV=nRT
τ=rFsinϴ

[Alan Anderson]

My favorite equation of all time, for all time, at all times, is the one which relates five fundamental mathematical constants using addition, multiplication, and exponentiation.

0: the additive identity element
1: the multiplicative identity element
e: the natural base
pi: the ratio of a circle's circumference to its diameter
i: the square root of negative one


e^(i*pi) + 1 = 0


I wish I could do superscripts properly using vBulletin.



My second favorite equation is actually just an approximation: 1 foot ≈ 1 nanosecond

[artdutra04]

I wish I could do superscripts properly using vBulletin.You can so superscripts and subscripts in vBcode.

[548swimmer]

All of the torque and RPM equations for motors and their assorted conversions!

[Foster]

P= ((3.4 * N) div 8 ) + 1

Give N roboteers the number of pizzas P to order

[cire]

Most used: circumference = 2 * Pi * r

Favorite: f = m * a

[Molten]

Trigonometry has always been rather attractive from my perspective
<3<3<3<3<3

I think it must be all the curves it comes with. ;)

[FarmerWilly]

1+1=11 <-My sister said this one the other day.








2
But seriously everyone, F=MA and E=MC :ahh:

[billbo911]

"Circumference = pi*D".......pause for effect........"think about it".

Also:

"pie = crust + filling"....... more pause....... "Oh, you mean "pi". OK, that's 22/7 rounded to the second place.......What?........Did you want 3.1415927"?

[dubiousSwain]

while true==true

I use
:While 1=1

all the time in TI-BASIC

[dubiousSwain]

My second favorite equation is actually just an approximation: 1 foot ≈ 1 nanosecond

not sure if reference?
http://mspaintadventures.wikia.com/wiki/Yellow_Yard

[Caleb Sykes]

a = dv/dt
v = dx/dt

P = τω = E/t = Fv = IV

[MechEng83]

For me, it's these equations:

T=F*d*sin(theta)
Law of cosines [c^2 = a^2 + b^2 - 2*a*b*cos(theta)]
Law of sines [sin(a)/A = sin(b)/B = sin(c)/C]
F=k*x
k=A*E/L

[cmrnpizzo14]

...

Hahaha! I did it! Take that VbCode!

[Nemo]

My favorite equation of all time, for all time, at all times, is the one which relates five fundamental mathematical constants using addition, multiplication, and exponentiation.

0: the additive identity element
1: the multiplicative identity element
e: the natural base
pi: the ratio of a circle's circumference to its diameter
i: the square root of negative one

e^(i*pi) + 1 = 0


I'm with the Tauists on this one:

e^(i*tau) = 1

[BBray_T1296]

Theoretical velocity

Where: M=motor speed (rpm), Or=overall reduction, d=wheel diameter (inches), V= velocity (feet per second)

(M*Or*π*d)/(60*12)=V

Useful for calculating robot speed as well as projectile speed. For shooting frisbees last year, knowing how many feet/second the shooter wheel spun, assuming static friction on the opposing wall, you could both calculate the linear and rotational velocity of the disk as it exited the shooter.

[faust1706]

sm'= A[R|t]M' aka camera pose estimation. I used this bad boy in 2012. It is a beautiful equation.

[Yipyapper]

Arizona Green Tea + Programmers = Code

[MechEng83]

Arizona Green Tea + Programmers = Code

Interesting. I thought the function was
code = programmer(pizza,Mountain Dew)
*disclaimer* I am not a programmer. Please excuse syntax errors.

[Yipyapper]

Interesting. I thought the function was
code = programmer(pizza,Mountain Dew)
*disclaimer* I am not a programmer. Please excuse syntax errors.
My body became immune to pizza's code influence at this point, I needed to find a new way to make code. So much pizza...