(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Concorde traveled 8000 km between 2 places in North American and Europe at an average speed of 375 m/s. What is the total difference in time between 2 similar atomic clocks, one on the airplane and one at rest on Earth during a one-way trip? Consider only time dilation and ignore other effects like Earth's rotation.

2. Relevant equations

Δt_E = γ(Δt_S), γ = [1-(v/c)^2]^.5

3. The attempt at a solution

Here's my thinking: I can find the elapsed time during a one-way trip as measured from Earth frame by dividing the distance (8000 km) by the speed (375 m/s). Then, since the airplane and its clock are moving relative to Earth, the elapsed time interval will be smaller as measured from Earth frame. So I use the equation above.

The problem is that v/c is WAY too small even for a scientific calculator, which just treats it as zero. What can I do with this problem? I tried a binomial approximation, but that didn't help much.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Basic Special Relativity Problem

**Physics Forums | Science Articles, Homework Help, Discussion**