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Help solving equation


94c4lt1

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Hi Guys,

 

I am new and I was hoping I could get some help with an equation.

 

time= (.15 w-s/mm^2)/(720 uW/cm^2)

 

w-s is watt seconds and uW is microwatts.

 

mm^2 is millimeters squared and cm^2 is centimeters squared.

 

I have it simplified pretty well, only I am having difficulty with the w-s and w. I am not sure how to simplify that more. I can convert w-s to joules, but I can't get the energy to convert to power (watts).

 

Can anyone help solve this and tell me how to do it?

 

Thanks.

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Tim, you are just so cute sometimes! I have NO DOUBT that you will become famous in some way :)

 

I mean, really... you make it sound so simple... "well, you just have to convert the units to standard units and simplify it." ... like it's something every single one of us does all day long, right? I have a hard time remembering to 'carry the one' sometimes, and you act as if this were no more than adding 2+2... amazing.

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well, you just have to convert the units to standard units and simplify it.

(.15 w-s/mm^2)/(720 uW/cm^2)=

(1.5*10^5 ws/m^2) / (7.2 w/m^2)

time comes out as 2.1*10^ 4 seconds.

 

 

Thanks for you help.

 

Doing it your way gives me 2.1*10^3 though....

 

Can someone double check this for me?

 

When I simplify, I get:

 

(150 w-s/m^2)/(.072w/m^2)=2083.3

 

Am I doing something wrong?

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well, you just have to convert the units to standard units and simplify it.

(.15 w-s/mm^2)/(720 uW/cm^2)=

(1.5*10^5 ws/m^2) / (7.2 w/m^2)

time comes out as 2.1*10^ 4 seconds.

 

My other question is the units. w-s means watts per second = w/s. From the P=W/t (power equals energy divided by time). Here is the unit equation:

 

((w/s)/m^2)/(w/m^2) = (w/sm^2)/(w/m^2) = 1/s

 

Or am I wrong somewhere?

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((w/s)/m^2)/(w/m^2) = (w/sm^2)/(w/m^2) = 1/s

yes, it is true, but it the ws means w/s in your equation:

time= (.15 w-s/mm^2)/(720 uW/cm^2)

it cannot be true, it would be:

1/time= (.15 w-s/mm^2)/(720 uW/cm^2)

 

anyway, yeah im not a math wizard, im just a science and math nerd. :)

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time= (.15 w-s/mm^2)/(720 uW/cm^2)

(.15ws/mm^2) * (10^6 mm^2/ 1 m^2) = 1.5*10^5 ws/m^2

(720 uW/cm^2) * (1w/10^6 uW) * (10^4 cm^2 / 1 m^2) = 7.2 w/m^2

 

hmm, maybe you forgot the mm^2 and cm^2?

1 m^2 = 1000*1000 mm^2 = 10^6 mm^2

1 m^2 = 100*100 cm^2 = 10^4 cm^2

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Hi Guys,

 

I am new and I was hoping I could get some help with an equation.

 

time= (.15 w-s/mm^2)/(720 uW/cm^2)

 

w-s is watt seconds and uW is microwatts.

 

mm^2 is millimeters squared and cm^2 is centimeters squared.

 

I have it simplified pretty well, only I am having difficulty with the w-s and w. I am not sure how to simplify that more. I can convert w-s to joules, but I can't get the energy to convert to power (watts).

 

Can anyone help solve this and tell me how to do it?

 

Thanks.

 

I will take a stab...

 

time= (.15 w-s/mm^2)/(720 uW/cm^2)

 

where uW = 10^6 W, cm = 10 mm, so

 

time = (15 Ws/cm^2)/ 720 * 10^-6 W/cm^2

= (1/48) * 10^6 (Ws/cm^2)/(W/cm^2)

= (1/2)(1/4)(1/6) * 10^6 Sec

= (.125)(.167)*10^6 sec

~= 2*10^4 sec

 

Yeah your big goof is mixing mm with cm, a common problem.

There are 10 mm to a cm. The units you mention is in mks system (in meters) yet

the equation is to be put in one or the other {mm, cm, m -- take your pick}

 

Hope this helps. I am a bit rusty, though I will stand by my work.

 

Maddog

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I think you are doing this all wrong guys. But check my solutsion. Maybe I`m wrong because I have slept only 3 hours and I often make mistakes when I`m tired. I really hope I didn`t make mistakes this time. Check it.

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time= (.15 w-s/mm^2)/(720 uW/cm^2)

time= (.0015w-s/cm2)/(720uW/cm2)

time=(.0015w-s/cm2)/.000720W/cm2)

time=2.08333...3s

 

After redoing the equation and checking a few things, I think Tim was right.

 

I got confused when converting cm^2 to mm^2. I was just using 1cm=10mm when it is cm^2 to mm^2. So 1cm^2=100mm^2. Therefore the answer is 20833.33 s.

 

Thanks for all the help guys.

 

Wow there sure are alot of answers.

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As you wish but.....

If you convert cm to mm then.....

0,15 w-s/mm2: 0,072 w/mm2=2,083 s

 

It`s your own choice but if Tim was here I belive he would admit he`s mistake.

I`m absolutely sure that this solution is the right one. This equation is really simple and I really don`t think I was wrong :)

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