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Acceleration of the Earth

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Galileo the Great

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Re: Acceleration of the Earth
« Reply #120 on: December 11, 2007, 11:47:27 PM »
So the earth is accelerating at 9.8m/s due to it accelerating at 9.8m/s^2 for one second? I SEE THE LIGHT
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TheEngineer

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Re: Acceleration of the Earth
« Reply #121 on: December 11, 2007, 11:48:03 PM »
Well, that equation, when you plot it out, reaches an asymptote.  Can you guess what value that asymptote has? 

That's right, the speed of light.  An object can accelerate at a constant rate forever and never reach the speed of light.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #122 on: December 11, 2007, 11:49:25 PM »
Quote from: Galileo the Great on December 11, 2007, 11:47:27 PM
So the earth is accelerating at 9.8m/s due to it accelerating at 9.8m/s^2 for one second? I SEE THE LIGHT
No, the earth has gained 9.8m/s in velocity, due to it accelerating at 9.8m/s^2 for one second. 
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Galileo the Great

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Re: Acceleration of the Earth
« Reply #123 on: December 11, 2007, 11:51:20 PM »
Quote from: TheEngineer on December 11, 2007, 11:49:25 PM
Quote from: Galileo the Great on December 11, 2007, 11:47:27 PM
So the earth is accelerating at 9.8m/s due to it accelerating at 9.8m/s^2 for one second? I SEE THE LIGHT
No, the earth has gained 9.8m/s in velocity, due to it accelerating at 9.8m/s^2 for one second. 

So what speed is it currently traveling?
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TheEngineer

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Re: Acceleration of the Earth
« Reply #124 on: December 11, 2007, 11:54:45 PM »
Less than the speed of light.
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Galileo the Great

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Re: Acceleration of the Earth
« Reply #125 on: December 11, 2007, 11:57:16 PM »
How much less? Can't you use your own equation?
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TheEngineer

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Re: Acceleration of the Earth
« Reply #126 on: December 11, 2007, 11:58:13 PM »
I can use it, however, my calculator is not accurate enough.
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Galileo the Great

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Re: Acceleration of the Earth
« Reply #127 on: December 12, 2007, 12:06:52 AM »
Quote from: TheEngineer on December 11, 2007, 11:58:13 PM
I can use it, however, my calculator is not accurate enough.
Give me a rough estimate.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #128 on: December 12, 2007, 12:07:40 AM »
Just under the speed of light.
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cbarnett97

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Re: Acceleration of the Earth
« Reply #129 on: December 12, 2007, 12:08:43 AM »
Quote from: TheEngineer on December 11, 2007, 11:06:03 PM
From the equations of Relativity:

w=(u+v)/(1+u*v/c^2)

where u is the current velocity, v is 9.8m/s, due to the earth accelerating at 9.8m/s^2 for one second, c is the speed of light, and w is the new velocity, to be used as u in the next iteration.  Start at u=0 and let me know how long it takes us to reach the speed of light.

Wow, it must suck to be you guys right about now.
Well we would not solve for w first off.
however when you solve it properly you will need to take into account the acceleration vector which to keep it short so after doing a fair bit of math you will end up with the equation
alpha=1/{1-(v/c)2}
which we can relate in a more classical sense using F=ma so that will become F=m(alpha) which will give us
F=m*alpha
So as you can see as your velocity approaches the speed of light your acceleration will decrease until it reaches 0
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Loard Z

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Re: Acceleration of the Earth
« Reply #130 on: December 12, 2007, 12:09:32 AM »
Only in an outside frame of reference.
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Quote from: eric bloedow on January 08, 2008, 04:03:12 PM
if i remember, austria is an old, dis-used name for what is now Germany.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #131 on: December 12, 2007, 12:10:47 AM »
Quote from: Lord Z on December 12, 2007, 12:09:32 AM
Only in an outside frame of reference.
QFT.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #132 on: December 12, 2007, 12:11:46 AM »
Quote from: cbarnett97 on December 12, 2007, 12:08:43 AM
Well we would not solve for w first off.
What else would you solve for?  Everything else is known.
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cbarnett97

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Re: Acceleration of the Earth
« Reply #133 on: December 12, 2007, 12:12:33 AM »
for an accelerating earth it must be looked at from all reference frames hence the term "frame invariant"
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Galileo the Great

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Re: Acceleration of the Earth
« Reply #134 on: December 12, 2007, 12:12:38 AM »
So we're traveling at "just under" the speed of light? And we are also accelerating constantly?
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Loard Z

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Re: Acceleration of the Earth
« Reply #135 on: December 12, 2007, 12:16:34 AM »
you got it, Sherlock.
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Quote from: eric bloedow on January 08, 2008, 04:03:12 PM
if i remember, austria is an old, dis-used name for what is now Germany.
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cbarnett97

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Re: Acceleration of the Earth
« Reply #136 on: December 12, 2007, 12:17:15 AM »
Quote from: Galileo the Great on December 12, 2007, 12:12:38 AM
So we're traveling at "just under" the speed of light? And we are also accelerating constantly?
no our acceleration would be constantly decreasing as we approached the speed of light but yes we would be traveling just under the speed of light.
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cbarnett97

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Re: Acceleration of the Earth
« Reply #137 on: December 12, 2007, 12:19:39 AM »
If I have time to tomorrow to solve it properly I will but it is too damn late to tackle the problem since to do it properly it will require some matrix and 4 vector notation.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #138 on: December 12, 2007, 12:19:48 AM »
Right, constantly accelerating. 
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TheEngineer

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Re: Acceleration of the Earth
« Reply #139 on: December 12, 2007, 12:21:00 AM »
Quote from: cbarnett97 on December 12, 2007, 12:19:39 AM
If I have time to tomorrow to solve it properly I will but it is too damn late to tackle the problem since to do it properly it will require some matrix and 4 vector notation.
Wait, so what are you trying to do, prove Einstein wrong?
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Loard Z

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Re: Acceleration of the Earth
« Reply #140 on: December 12, 2007, 12:22:46 AM »
Quote from: TheEngineer on December 12, 2007, 12:21:00 AM
Quote from: cbarnett97 on December 12, 2007, 12:19:39 AM
If I have time to tomorrow to solve it properly I will but it is too damn late to tackle the problem since to do it properly it will require some matrix and 4 vector notation.
Wait, so what are you trying to do, prove Einstein wrong?

I don't even think he knows.
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Quote from: eric bloedow on January 08, 2008, 04:03:12 PM
if i remember, austria is an old, dis-used name for what is now Germany.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #141 on: December 12, 2007, 12:23:39 AM »
I'd say that is a safe bet.
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cbarnett97

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Re: Acceleration of the Earth
« Reply #142 on: December 12, 2007, 12:24:53 AM »
Not at all, everything I have stated is based upon Einsteins work, it is just that the physics involved here are more modern than Einsteins work. The proper proof uses a fair amount of Einsteins work with regards to energy and momentum. I just showed the end result
« Last Edit: December 12, 2007, 12:27:22 AM by cbarnett97 »
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cbarnett97

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Re: Acceleration of the Earth
« Reply #143 on: December 12, 2007, 12:29:25 AM »
Here is a paper that is about what I am talking about

http://newton.umsl.edu/run//traveler.html
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Loard Z

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Re: Acceleration of the Earth
« Reply #144 on: December 12, 2007, 12:30:20 AM »
tl;dr
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Quote from: eric bloedow on January 08, 2008, 04:03:12 PM
if i remember, austria is an old, dis-used name for what is now Germany.
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TheEngineer

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Re: Acceleration of the Earth
« Reply #145 on: December 12, 2007, 12:33:20 AM »
Quote from: cbarnett97 on December 12, 2007, 12:24:53 AM
Not at all, everything I have stated is based upon Einsteins work, it is just that the physics involved here are more modern than Einsteins work. The proper proof uses a fair amount of Einsteins work with regards to energy and momentum. I just showed the end result
So again, what is the point of this?
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cbarnett97

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Re: Acceleration of the Earth
« Reply #146 on: December 12, 2007, 12:34:04 AM »
Quote from: TheEngineer on December 12, 2007, 12:33:20 AM
Quote from: cbarnett97 on December 12, 2007, 12:24:53 AM
Not at all, everything I have stated is based upon Einsteins work, it is just that the physics involved here are more modern than Einsteins work. The proper proof uses a fair amount of Einsteins work with regards to energy and momentum. I just showed the end result
So again, what is the point of this?
you are wrong
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TheEngineer

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Re: Acceleration of the Earth
« Reply #147 on: December 12, 2007, 12:34:40 AM »
How so?
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cbarnett97

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Re: Acceleration of the Earth
« Reply #148 on: December 12, 2007, 12:35:39 AM »
Quote from: cbarnett97 on December 12, 2007, 12:29:25 AM
Here is a paper that is about what I am talking about

http://newton.umsl.edu/run//traveler.html
use the correct math
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Loard Z

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Re: Acceleration of the Earth
« Reply #149 on: December 12, 2007, 12:35:55 AM »
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Quote from: eric bloedow on January 08, 2008, 04:03:12 PM
if i remember, austria is an old, dis-used name for what is now Germany.
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