Time Dilation Calculator: 1/(sqrt 1-(v/c)^2) Explained

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In summary, the conversation was about using LaTeX to write a simple relationship and a question about whether the $ $ tags used in LaTeX are specific to Physicsforums. The solution was provided and it was suggested to post this as a question in the Forum Feedback section. There was also a mention of a time delay in rendering LaTeX on another forum.
  • #1
Force1
[tex]\frac{1/sqrt 1-{v/c}^2}[/tex]

(1/(sqrt 1-(v/c)^2))
Obviously I don't use tex enough to know how to write a simple relationship. I'm trying to get the tex for an inverse relationship for the time dilation factor to apply to the time calculated in the rest frame d/c, i.e. t=distance light travels divided by the speed of light.

I would describe it as 1 in the numerator, and in the denominator, the sqrt of (1 minus (v/c)^2).
 
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  • #2
Force1 said:
[tex]\frac{1}{\sqrt{ 1- (v/c)^2}}[/tex]

(1/(sqrt 1-(v/c)^2))Obviously I don't use tex enough to know how to write a simple relationship. I'm trying to get the tex for an inverse relationship for the time dilation factor to apply to the time calculated in the rest frame d/c, i.e. t=distance light travels divided by the speed of light.

I would describe it as 1 in the numerator, and in the denominator, the sqrt of (1 minus (v/c)^2).
I fixed the LaTeX above. Here's what I did (delete the space between each pair of $). I have to do that so that the script won't get rendered in the browser.
Code:
$ $ \frac{1}{\sqrt{ 1- (v/c)^2}} $ $
 
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  • #3
Code (Text):
$$ \frac{1}{\sqrt{ 1- (v/c)^2}} $$

Excellent. Thank you.
 
  • #5
Darn, this is embarrassing, but I'm posting in another forum that uses XenForo and couldn't get tex to work so I came here, got help, it worked here, and when I tried it on the other forum, it failed. Is the $ $ $ $ unique to Physicsforums? I also tried [ tex] [ /tex] over there though and it didn't work either. I just saw your second post and will look at that link.
 
  • #6
I don't know if the $ $ (or # # for inline TeX, similar to [ itex ]) is specific to us here. You might try posting this as a question in the Forum Feedback section.
 
  • #7
This may or may not be of interest, but I found that over there, after you post with tex, there is a time delay before it renders properly. I mentioned that, and rpenner saw my post and said:

"It's a clever use of Javascript, so it has to be triggered by loading (or reloading) the page and doesn't reflect your intent on first posting as the forum software javascript tries to display your new post (or edit) without reloading the page."
 

FAQ: Time Dilation Calculator: 1/(sqrt 1-(v/c)^2) Explained

What is the Time Dilation Calculator and how does it work?

The Time Dilation Calculator is a tool used to calculate the difference in the passage of time between two objects moving at different speeds. It is based on the equation 1/(sqrt 1-(v/c)^2), where v is the velocity of the object and c is the speed of light. This equation is derived from Einstein's theory of relativity and explains the phenomenon of time dilation, which occurs when an object moves at high speeds relative to another object.

How is the Time Dilation Calculator useful?

The Time Dilation Calculator is useful for understanding and predicting the effects of time dilation on objects moving at high speeds. It is commonly used in fields such as physics, astronomy, and engineering to calculate the impact of time dilation on space travel, satellite communication, and other scientific phenomena.

Can the Time Dilation Calculator be used to calculate time dilation in everyday situations?

Yes, the Time Dilation Calculator can be used to calculate time dilation in everyday situations. For example, if you are traveling in a plane at a high speed, the calculator can be used to determine the difference in time between you and someone on the ground. However, the effects of time dilation are only noticeable at extremely high speeds, such as those reached by objects in space.

What are the limitations of the Time Dilation Calculator?

The Time Dilation Calculator is based on the assumptions of Einstein's theory of relativity and therefore may not accurately calculate time dilation in all situations. It also does not take into account other factors that may affect the passage of time, such as gravitational fields. Additionally, the calculator is only applicable to objects moving at speeds close to the speed of light, so it cannot be used to calculate time dilation for objects moving at slower speeds.

Are there any real-world examples of time dilation that can be calculated using the Time Dilation Calculator?

There are many real-world examples of time dilation that can be calculated using the Time Dilation Calculator. Some examples include the time dilation experienced by astronauts traveling in space, the difference in time between a satellite in orbit and someone on the ground, and the time dilation of particles in high-energy particle accelerators. These examples all involve objects moving at high speeds relative to each other, making the use of the Time Dilation Calculator applicable.

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