How Do Lorentz Transformations Apply to Aircraft Communication Delays?

  • Thread starter Thread starter Quelsita
  • Start date Start date
  • Tags Tags
    Lorentz
AI Thread Summary
Lorentz transformations are necessary to analyze communication delays between two aircraft landing at different times in New York and San Francisco, separated by a distance of 3,800 km. The key question is whether a signal sent from the first aircraft after touchdown will reach the second aircraft before its own touchdown. Given the time difference of 0.01 seconds, the average speed of the signal must be calculated to determine if it exceeds the speed of light, c. The calculations suggest that the signal's speed is less than c, confirming that the second pilot will not receive the signal before landing. This analysis highlights the implications of relativistic effects on communication in aviation scenarios.
Quelsita
Messages
41
Reaction score
0
Ok, I think for this problem you have to use the Lorentz transformations, but I'm not sure how to consider the velocity.

Question:
At 9 hrs 0min 0sec an aircraft touches down in NY. At 9hrs 0min 0.01sec an aircraft touches down in San Francisco. The (straight) distance between the two is 3.8x10^3km.
a) show that any signal that thepilot of the first aircraft sends after the instant of touchdown will reach the second pilot after his own touchdown.

So, for this x=3.8x10^3km, deltat =0.01sec, but if the aircrafts are stationary, what is the velocity? If it is a singnal, is this just c?
 
Physics news on Phys.org
Quelsita said:
Ok, I think for this problem you have to use the Lorentz transformations, but I'm not sure how to consider the velocity.

Question:
At 9 hrs 0min 0sec an aircraft touches down in NY. At 9hrs 0min 0.01sec an aircraft touches down in San Francisco. The (straight) distance between the two is 3.8x10^3km.
a) show that any signal that thepilot of the first aircraft sends after the instant of touchdown will reach the second pilot after his own touchdown.

So, for this x=3.8x10^3km, deltat =0.01sec, but if the aircrafts are stationary, what is the velocity? If it is a singnal, is this just c?

Well, this one looks fairly easy...what is the expression for the average speed v_{ave}of any signal that travels a distance {\Delta}x in a time {\Delta}t? If you plug in the distance above along with your {\Delta}t how fast would the signal have to be? Is it greater or less than c?
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

I How Do Lorentz Transformations Affect Perceptions of Time and Distance?
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top