anonymous
  • anonymous
How do you convert 85, 100 in/day to km/sec?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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theEric
  • theEric
Do you know the general rule for converting with a conversion factor?
anonymous
  • anonymous
not rally can be confusing
theEric
  • theEric
I know, it can be. But it all works because of the idea that you can multiply anything by \(1\) without changing the actual value. So, do you know how many seconds are in a day?

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anonymous
  • anonymous
86, 400 or 1440?
theEric
  • theEric
It is... I'll just do the calculation for myself. \(1\ day \times \dfrac{24\ hours}{day}\times\dfrac{60\ minutes}{hour}\times\dfrac{60\ seconds}{minute}\\1\ \cancel{day} \times \dfrac{24\ \cancel{hours}}{\cancel{day}}\times\dfrac{60\ \cancel{minutes}}{\cancel{hour}}\times\dfrac{60\ seconds}{\cancel{minute}}\\=1\times 24\times 60\times 60\ seconds=86,400\ seconds\) So 86,400 seconds.
theEric
  • theEric
Now, \(86,400\ seconds = 1\ year\). So, since they're equal, dividing one by the other will get you the amount of \(1\). Do you agree?
anonymous
  • anonymous
Dividing 86,400 by 86, 400 equals 1, is that what you're talking about?
theEric
  • theEric
Oh! Before I meant "\(86,400\ seconds = 1\ day\)." I mixed up the day for year. That's true! And so is this: divide both sides by \(86,400\ seconds\) to get \(\dfrac{86,400\ seconds}{86,400\ seconds}=\dfrac{1\ day}{86,400\ seconds}\) which is the same as \(\dfrac{\cancel{86,400\ seconds}}{\cancel{86,400\ seconds}}=\dfrac{1\ day}{86,400\ seconds}\) \(1=\dfrac{1\ day}{86,400\ seconds}\)
theEric
  • theEric
Since \(1\ day\) and \(86,400\ seconds\) have the same value, one divided by the other will be equal to one. It's like the basic \(\dfrac{x}{x}=1\).
anonymous
  • anonymous
ok, I see what you're saying
theEric
  • theEric
Okay! So, that value is called the conversion factor! Because, you can use it to make units cancel WITHOUT changing the VALUE! :) \(85,100\ \dfrac{in}{day}\times 1\\=85,100\ \dfrac{in}{day}\times \dfrac{1\ day}{86,400\ seconds}\\=85,100\ \dfrac{in}{\cancel{day}}\times \dfrac{1\ \cancel{day}}{86,400\ seconds}\\\approx .985\ \dfrac{in}{seconds}\) See? I mean, you still have to go from inches to kilometers, but that is half of the conversion!
theEric
  • theEric
Google says that \(39370.1\ seconds=1\ kilometer\). So, make a conversion factor!
anonymous
  • anonymous
Ok, thanku a lot
theEric
  • theEric
If it's upside down, you'll just flip it. You want inches on the bottom, so that they cancel out with the inches on the top. Your very welcome!
theEric
  • theEric
You're*

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