Vectors delta velocity calculations

Click For Summary
SUMMARY

The discussion focuses on calculating delta velocity (Δv) between two points, A and B, based on the time taken for waves to travel between them. It establishes that if the distance (d) between A and B is constant, the speeds of the waves can be expressed as d/t1 and d/t2. The formula for Δv is derived as Δv = d(t2 - t1) / (t1 * t2), indicating that knowledge of the distance is essential for the calculation. Without the distance, Δv cannot be determined.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with wave propagation concepts
  • Basic knowledge of speed, distance, and time relationships
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Research vector calculus applications in physics
  • Explore wave mechanics and their properties
  • Study the implications of time-dependent velocity in wave theory
  • Learn about the significance of constants in physics equations
USEFUL FOR

Physicists, engineers, and students studying wave dynamics and vector analysis will benefit from this discussion, particularly those interested in velocity calculations in wave propagation scenarios.

NMann
Messages
1
Reaction score
0
Hello,

Two waves originated from point A and point B, waves are 'velocity-direction-dependent', can be treated as 'vectors', it took t2 time for the wave from point B to reach A, and it took time t2 for the wave from point B to reach A.

Given the fact the two vectors have the same 'magnitude', and only the t1 and t2 are known is there a way to calculate delta velocity?



A>>>>>>>>>>> B, in t1 time
B>>>>>>>>>>> A, in t2 time

Distance between A and B is constant, and only known variables are t1 and t2, is there a way to calculate Δv?


thank you!
 
Mathematics news on Phys.org
NMann said:
Distance between A and B is constant

Is it a known constant value? - or it is an unknown value, just known to be some constant?
 
If the distance from B to A is d, then the first wave, taking t1 to go from B to A, has speed d/t1. The second wave, taking t2 to go from B to A, has speed d/t2. The "\Delta v" is d/t1- d/t2= d(t2- t1)/t1t2.
If you do not know the distance from B to A, then you cannot calculate \Delta v.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
3K
Replies
40
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 14 ·
Replies
14
Views
3K
Replies
1
Views
2K