Mixing
calculate mass from time dilation and radius
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I'm new to this site and I'm been searching the internet all over for this solution. I'm looking for an equation, that if given the time dilation at the surface of an object and its radius, it will allow me to calculate the mass of the object.
However, the current way of calculating time dilation (dτ/dt) does not work for my model and is not what I am looking for.
I'm looking for the equation to calculate the mass of an object if given its radius and the amount of the time dilation based on a range of 0.1 - 1.0. Where 1 would be infinite time dilation.
To derive this new time dilation scale I use the formula $1-frac{1}{sqrt{1-v^2/c^2}}$ where v is the escape velocity in the percentage of c.
For example, if the escape velocity is .886 c the object has a time dilation of 0.5363147619
$1-frac{1}{sqrt{1-.886^2/1^2}}$ = 0.5363147619
Based off this scale (0.1 - 1.0) and given the radius of an object I'm looking for the object's mass.
To calculate the time dilation without the range 0.1 - 1.0 it's
$frac{1}{sqrt{1-.886^2/1^2}}$ = 2.15
This does not work for me. I need the output of mass from the unknown equation using the input time dilation range of 0.1 - 1.0
exponential-function
asked Jan 14 at 1:26
AglaAgla
32
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add a comment |
$begingroup$
I'm new to this site and I'm been searching the internet all over for this solution. I'm looking for an equation, that if given the time dilation at the surface of an object and its radius, it will allow me to calculate the mass of the object.
However, the current way of calculating time dilation (dτ/dt) does not work for my model and is not what I am looking for.
I'm looking for the equation to calculate the mass of an object if given its radius and the amount of the time dilation based on a range of 0.1 - 1.0. Where 1 would be infinite time dilation.
To derive this new time dilation scale I use the formula $1-frac{1}{sqrt{1-v^2/c^2}}$ where v is the escape velocity in the percentage of c.
For example, if the escape velocity is .886 c the object has a time dilation of 0.5363147619
$1-frac{1}{sqrt{1-.886^2/1^2}}$ = 0.5363147619
Based off this scale (0.1 - 1.0) and given the radius of an object I'm looking for the object's mass.
To calculate the time dilation without the range 0.1 - 1.0 it's
$frac{1}{sqrt{1-.886^2/1^2}}$ = 2.15
This does not work for me. I need the output of mass from the unknown equation using the input time dilation range of 0.1 - 1.0
exponential-function
asked Jan 14 at 1:26
AglaAgla
32
$endgroup$
$begingroup$
First comment is about the formatting. Please use Mathjax (similar to LaTex), so your equations are easy to follow. Then I see no equation that relates mass with time dilation. Are you sure you understood the physics of the problem? This looks more like general relativity, not special relativity. Ask in the physics.stackexchange
$endgroup$
– Andrei
Jan 14 at 2:54
$begingroup$
ok formatted. The equation I'm looking for works like this. Time dilation is a function of gravity. Which can be thought of as escape velocity from a gravitational field. So if you have to achieve .886 c to escape. Then the time dilation would of that object is 2.15 years for every one year on earth. However, the time dilation is scaled to 0.1 - 1.0 where 1 would be infinity. If i know the time dilation factor using that scale and the radius of the object I want to calculate the mass of the object.
$endgroup$
– Agla
Jan 14 at 3:29
$begingroup$
Try en.wikipedia.org/wiki/…
$endgroup$
– Andrei
Jan 14 at 3:35
add a comment |
$begingroup$
I'm new to this site and I'm been searching the internet all over for this solution. I'm looking for an equation, that if given the time dilation at the surface of an object and its radius, it will allow me to calculate the mass of the object.
However, the current way of calculating time dilation (dτ/dt) does not work for my model and is not what I am looking for.
I'm looking for the equation to calculate the mass of an object if given its radius and the amount of the time dilation based on a range of 0.1 - 1.0. Where 1 would be infinite time dilation.
To derive this new time dilation scale I use the formula $1-frac{1}{sqrt{1-v^2/c^2}}$ where v is the escape velocity in the percentage of c.
For example, if the escape velocity is .886 c the object has a time dilation of 0.5363147619
$1-frac{1}{sqrt{1-.886^2/1^2}}$ = 0.5363147619
Based off this scale (0.1 - 1.0) and given the radius of an object I'm looking for the object's mass.
To calculate the time dilation without the range 0.1 - 1.0 it's
$frac{1}{sqrt{1-.886^2/1^2}}$ = 2.15
This does not work for me. I need the output of mass from the unknown equation using the input time dilation range of 0.1 - 1.0
exponential-function
asked Jan 14 at 1:26
AglaAgla
32
$endgroup$
I'm new to this site and I'm been searching the internet all over for this solution. I'm looking for an equation, that if given the time dilation at the surface of an object and its radius, it will allow me to calculate the mass of the object.
However, the current way of calculating time dilation (dτ/dt) does not work for my model and is not what I am looking for.
I'm looking for the equation to calculate the mass of an object if given its radius and the amount of the time dilation based on a range of 0.1 - 1.0. Where 1 would be infinite time dilation.
To derive this new time dilation scale I use the formula $1-frac{1}{sqrt{1-v^2/c^2}}$ where v is the escape velocity in the percentage of c.
For example, if the escape velocity is .886 c the object has a time dilation of 0.5363147619
$1-frac{1}{sqrt{1-.886^2/1^2}}$ = 0.5363147619
Based off this scale (0.1 - 1.0) and given the radius of an object I'm looking for the object's mass.
To calculate the time dilation without the range 0.1 - 1.0 it's
$frac{1}{sqrt{1-.886^2/1^2}}$ = 2.15
This does not work for me. I need the output of mass from the unknown equation using the input time dilation range of 0.1 - 1.0
exponential-function
exponential-function
asked Jan 14 at 1:26
AglaAgla
32
asked Jan 14 at 1:26
AglaAgla
32
edited Jan 14 at 3:35
Agla
asked Jan 14 at 1:26
AglaAgla
32
asked Jan 14 at 1:26
AglaAgla
32
asked Jan 14 at 1:26
AglaAgla
32
32
$begingroup$
First comment is about the formatting. Please use Mathjax (similar to LaTex), so your equations are easy to follow. Then I see no equation that relates mass with time dilation. Are you sure you understood the physics of the problem? This looks more like general relativity, not special relativity. Ask in the physics.stackexchange
$endgroup$
– Andrei
Jan 14 at 2:54
$begingroup$
ok formatted. The equation I'm looking for works like this. Time dilation is a function of gravity. Which can be thought of as escape velocity from a gravitational field. So if you have to achieve .886 c to escape. Then the time dilation would of that object is 2.15 years for every one year on earth. However, the time dilation is scaled to 0.1 - 1.0 where 1 would be infinity. If i know the time dilation factor using that scale and the radius of the object I want to calculate the mass of the object.
$endgroup$
– Agla
Jan 14 at 3:29
$begingroup$
Try en.wikipedia.org/wiki/…
$endgroup$
– Andrei
Jan 14 at 3:35
add a comment |
$begingroup$
First comment is about the formatting. Please use Mathjax (similar to LaTex), so your equations are easy to follow. Then I see no equation that relates mass with time dilation. Are you sure you understood the physics of the problem? This looks more like general relativity, not special relativity. Ask in the physics.stackexchange
$endgroup$
– Andrei
Jan 14 at 2:54
$begingroup$
ok formatted. The equation I'm looking for works like this. Time dilation is a function of gravity. Which can be thought of as escape velocity from a gravitational field. So if you have to achieve .886 c to escape. Then the time dilation would of that object is 2.15 years for every one year on earth. However, the time dilation is scaled to 0.1 - 1.0 where 1 would be infinity. If i know the time dilation factor using that scale and the radius of the object I want to calculate the mass of the object.
$endgroup$
– Agla
Jan 14 at 3:29
$begingroup$
Try en.wikipedia.org/wiki/…
$endgroup$
– Andrei
Jan 14 at 3:35
$begingroup$
First comment is about the formatting. Please use Mathjax (similar to LaTex), so your equations are easy to follow. Then I see no equation that relates mass with time dilation. Are you sure you understood the physics of the problem? This looks more like general relativity, not special relativity. Ask in the physics.stackexchange
$endgroup$
– Andrei
Jan 14 at 2:54
$begingroup$
First comment is about the formatting. Please use Mathjax (similar to LaTex), so your equations are easy to follow. Then I see no equation that relates mass with time dilation. Are you sure you understood the physics of the problem? This looks more like general relativity, not special relativity. Ask in the physics.stackexchange
$endgroup$
– Andrei
Jan 14 at 2:54
$begingroup$
ok formatted. The equation I'm looking for works like this. Time dilation is a function of gravity. Which can be thought of as escape velocity from a gravitational field. So if you have to achieve .886 c to escape. Then the time dilation would of that object is 2.15 years for every one year on earth. However, the time dilation is scaled to 0.1 - 1.0 where 1 would be infinity. If i know the time dilation factor using that scale and the radius of the object I want to calculate the mass of the object.
$endgroup$
– Agla
Jan 14 at 3:29
$begingroup$
ok formatted. The equation I'm looking for works like this. Time dilation is a function of gravity. Which can be thought of as escape velocity from a gravitational field. So if you have to achieve .886 c to escape. Then the time dilation would of that object is 2.15 years for every one year on earth. However, the time dilation is scaled to 0.1 - 1.0 where 1 would be infinity. If i know the time dilation factor using that scale and the radius of the object I want to calculate the mass of the object.
$endgroup$
– Agla
Jan 14 at 3:29
$begingroup$
Try en.wikipedia.org/wiki/…
$endgroup$
– Andrei
Jan 14 at 3:35
$begingroup$
Try en.wikipedia.org/wiki/…
$endgroup$
– Andrei
Jan 14 at 3:35
add a comment |
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$begingroup$
First comment is about the formatting. Please use Mathjax (similar to LaTex), so your equations are easy to follow. Then I see no equation that relates mass with time dilation. Are you sure you understood the physics of the problem? This looks more like general relativity, not special relativity. Ask in the physics.stackexchange
$endgroup$
– Andrei
Jan 14 at 2:54
$begingroup$
ok formatted. The equation I'm looking for works like this. Time dilation is a function of gravity. Which can be thought of as escape velocity from a gravitational field. So if you have to achieve .886 c to escape. Then the time dilation would of that object is 2.15 years for every one year on earth. However, the time dilation is scaled to 0.1 - 1.0 where 1 would be infinity. If i know the time dilation factor using that scale and the radius of the object I want to calculate the mass of the object.
$endgroup$
– Agla
Jan 14 at 3:29
$begingroup$
Try en.wikipedia.org/wiki/…
$endgroup$
– Andrei
Jan 14 at 3:35