Solving a Random Equation: a=dt_o/t^3sqrt(1-v^2/c^2)

  • Context: Graduate 
  • Thread starter Thread starter IooqXpooI
  • Start date Start date
  • Tags Tags
    Random
Click For Summary

Discussion Overview

The discussion revolves around a set of equations related to acceleration and energy, specifically focusing on the equation a=dt_o/t^3sqrt(1-v^2/c^2). Participants explore the implications and correctness of these equations, with references to concepts from relativity and energy equations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant presents the equation a=dt_o/t^3sqrt(1-v^2/c^2) and defines the variables involved, seeking feedback on its validity.
  • Another participant introduces additional equations, including E=1/2W and a modified version of the original equation, expressing uncertainty about their correctness.
  • A third participant emphasizes the importance of defining symbols in equations for clarity, suggesting that the initial equations lack meaning without proper definitions.
  • A later reply acknowledges the oversight in symbol definitions and expresses gratitude for the correction.
  • One participant claims to have found that all but one of their equations are incorrect, indicating a struggle with the concepts presented.

Areas of Agreement / Disagreement

There is no clear consensus on the correctness of the equations presented. Multiple competing views and uncertainties remain regarding the validity of the equations and the definitions of the symbols used.

Contextual Notes

Limitations include the initial lack of symbol definitions, which may affect the understanding of the equations. The discussion also reflects unresolved mathematical steps and assumptions regarding the relationships between the variables.

IooqXpooI
Messages
54
Reaction score
0
A random equation...

[tex]a=\frac{dt_{o}}{t^3\sqrt{1 - v^2/c^2}}[/tex]

Where:
[tex]a[/tex] is acceleration,
[tex]d[/tex] is distance traveled,
[tex]t[/tex] is the time of the observer(stationary),
[tex]t_o[/tex] is the time of the moving observer,
and
[tex]c[/tex] is the constant of light(the speed of light).

Just to see how this fares with you guys.
 
Last edited:
Physics news on Phys.org
IooqXpooI said:
[tex]E=\frac{1}{2}W[/tex]
^^^^^^^^^^^^^^^^
Note really sure about that one...

[tex]a=\frac{dt}{t_{o}\sqrt{1 - v^2/c^2}}[/tex]


[tex]v=\sqrt{da}[/tex]

Just to see how these fare with you guys(#2 is a play on the relativity equation), and how I'm doing with the 'tex' code.

??
 
When you post a bunch of equations, it would be much clearer to your readers if you would define your symbols. Otherwise, the equations are fairly meaningless.
 
Sorry about that...You were correct. I edited them in. Thanks!
 
Ok, after trying to prove them, I have found that all but one are wrong...:(

It seems that I accidentally concluded that [itex]\frac{1}{2} mv^2=E[/itex]...
 

Similar threads

  • · Replies 33 ·
2
Replies
33
Views
4K
  • · Replies 42 ·
2
Replies
42
Views
4K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 34 ·
2
Replies
34
Views
5K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K