OT: Calculus Challenge of the day.

[liquidtiger720]

So, here's today's Assignment for you guys to solve.


There is a very strong radiation source in the center of a large 120 x 120 foot room. A person must run through this room to get to safety. Her escape route takes her the full lenth along one wall of the room. She is not exposed to radiation outside the room. The strength of the radiation is inversely proprtional to the square of her distance from the source. At 5- feet, her body is absorbing radiation at the rate of 200 un**** per second. If she runs at 12 feet per second, what is the tottal radiation dose she recieves during her dash to safety?


You must show the integral used to solve problem.

[Blitzkrieg Bob]

and heat a cup of green tea

[liquidtiger720]

haha...cmon, where are the mechanical/civil engineers on the board?

[DaveVoorhis]

Oy! Yer just trying to get someone to do your homework assignment for you, aren't you?

[liquidtiger720]

Not DO it...just HELP. hahaha.

[rob101]

Yes there are mech engineers on the board, but speaking for myself i finished university so that i would never have to do stuff like that again......... but I'll see what i can come up with

[rob101]

okay dokey
R = rate of rad absorption (units/sec)
x = distance from the source (feet)
k = constant

now R = k/(x^2)
so 200 units/s = k/(5^2)
therefore k = 5000

now in order to solve this you need to find the total units of rad she absorbed

so that will be the Integral of R with respect to time

you will need to find an expression for the distance with respect to time.
that is to say x= f(t)
probably some kind of parabola
then you will find the Integral of k/(x^2) with respect to time
ie integral of 5000/(f(t)^2) with respect to time

you bastard, the horrible memories are flowing back...... nooooooo

edit: the expression for x is something like x = sqrt((60-ut)^2+60^2)
where sqrt is the square root and u is the chick's velocity

[Andrem5]

Let us get to the most relevant question: Why are your Throwing Stars on backwards??

okay dokey
R = rate of rad absorption (units/sec)
x = distance from the source (feet)
k = constant

now R = k/(x^2)
so 200 units/s = k/(5^2)
therefore k = 5000

now in order to solve this you need to find the total units of rad she absorbed

so that will be the Integral of R with respect to time

you will need to find an expression for the distance with respect to time.
that is to say x= f(t)
probably some kind of parabola
then you will find the Integral of k/(x^2) with respect to time
ie integral of 5000/(f(t)^2) with respect to time

you bastard, the horrible memories are flowing back...... nooooooo

edit: the expression for x is something like x = sqrt((60-ut)^2+60^2)
where sqrt is the square root and u is the chick's velocity

[rob101]

Let us get to the most relevant question: Why are your Throwing Stars on backwards??

because a typical retardo frigging used car salesman idiot put them on that way....... are they seriously backwards?
typical my friend brought over this car that'd been roadworthied lately, brakes were faaaaaaaarked, i mean i've never seen brakes that have pitted from corrosion and kickback violently when he brakes not to mention it didn't really brake past a certain point, this car was as roadworthy as a streetluge i could know that from being in the passenger's seat. typical used car ********, most people who give roadworthys here are crooks who don't even look at the carsunless you aren't a dealer then they make it really hard to get one..
lesson is...... used car salesmen are scum who should be exterminated, and that is why they are on backwards. no offensive to any used car people from outside australia, this is not directed at you, but if you are a used car dealer from australia go and kill yourself please now, thank you.

[Andrem5]

because a typical retardo frigging used car salesman idiot put them on that way....... are they seriously backwards?

Yeah, it happens. You always have to remind tire monkeys about that.

If you decide to flip them it is recommended that you replace the OE "triple square" aluminum bolts with something that won't corrode. I used stainless hex bolts and applied anti-sieze.