Relative Length to Relative Volume

In summary, the person in the conversation is trying to understand how the relative volume of a rotating Rectangular Prism would change when traveling near the speed of light. The relevant equations state that the volume would decrease by the same factor as the length in a frame where the object is not at rest, and there are no Lorentz contractions along the transverse axes. Drawing a picture of the object's optical appearance is not possible using just the Lorentz contraction.
  • #1
Aureum
5
0
I understand relative length well but I what to image a 3d object traveling close to the speed of light. As we know objects have speed, direction, and rotation. So I was wondering if there is a general equation to calculate the relative volume change of a Rectangular Prism rotating and traveling near the speed of light at any given time.

Relevant equations

1749bc0c276b392671c59b17cd12990e.png
 
Physics news on Phys.org
  • #2
When you say you want to "image" the object, do you mean that you're actually trying to draw a picture of what it would look like optically? If so, then you can't just do that using the Lorentz contraction, because you also get effects from the time it takes light rays to reach your eye.

If all you mean is that you want to calculate the volume as expressed in a frame where the object isn't at rest, then the volume is reduced by the same factor as the length. There is no Lorentz contractions along the two transverse axes.
 

What is relative length and relative volume?

Relative length and relative volume are concepts used in scientific measurements to compare the size or amount of an object or substance in relation to another object or substance. Relative length refers to the measurement of the size of an object compared to another object, while relative volume refers to the measurement of the amount of a substance compared to another substance.

How are relative length and relative volume calculated?

Relative length and relative volume are calculated by dividing the measurement of the object or substance in question by the measurement of the reference object or substance. This gives a ratio that represents the relative size or amount.

What are the units of measurement for relative length and relative volume?

Relative length and relative volume do not have specific units of measurement, as they are ratios and do not represent a specific quantity. However, the units used for the measurements of the objects or substances being compared should be consistent.

What is the significance of using relative length and relative volume in scientific measurements?

Using relative length and relative volume allows for more accurate and meaningful comparisons between objects or substances of different sizes or amounts. It also allows for standardized measurements that can be compared across different experiments or studies.

What are some examples of when relative length and relative volume are used in scientific research?

Relative length and relative volume are commonly used in fields such as physics, chemistry, and biology to compare the sizes and amounts of different substances. For example, in physics, relative length is used to compare the size of different objects in relation to the speed of light, and relative volume is used to compare the mass of different substances in relation to the volume they occupy.

Similar threads

  • Special and General Relativity
Replies
14
Views
354
  • Special and General Relativity
Replies
9
Views
735
  • Special and General Relativity
Replies
10
Views
522
Replies
32
Views
904
  • Special and General Relativity
Replies
7
Views
1K
  • Special and General Relativity
Replies
1
Views
522
  • Special and General Relativity
2
Replies
54
Views
711
Replies
38
Views
3K
Replies
63
Views
3K
  • Special and General Relativity
Replies
12
Views
799
Back
Top