Relativity?

In terms of nanosecond does west bound flight travel the same distance (with same speed) in lesser time than east bound flight?|||The rotational speed of earth at equator is 465m/s toward East.





1674 km/ hour.





This speed is with respect to a fixed star, say sun.





The plane which is at rest on a station on the equator is rest with respect to the ground.





But for an outside observer from a star both the earth and plane are having a speed of 1674 km/h toward east.





If the plane now starts and flies toward east, the observer on the station says that the flight is toward east with a speed of say 1000 km/ hour.





For the observer on the star the station rotates with a speed of





1674m/ hour and the plane flies with a speed of 1674 + 1000 = 2674km/ hour toward east.





In one hour the distance traveled by the plane as per the outside observer is 2674 km.





By this time the station has also moved through a distance of 1674 km.





The distance of separation of between the station and flight is 2764 - 1674 = only 1000 km.





If the plane flies with this speed toward west, the observer at the star will say that the earth is rotating with a speed of 1674km/h toward east and the plane is moving with a speed of 1674 -1000 = 674 km/toward East . Note the direction it is not west.





In one hour the distance traveled by the flight is only 674 km toward East. But the earth has rotated through a distance of 1674 km toward East.





The distance of separation between the station and flight is 1674 - 674 = 1000 km for both the observers.





An interesting case is when the plane is flying with a speed of 1674 km/ hour toward west.





Now the outside observer will say that the earth is rotating with a speed of 1674 km/h toward east and the plane is (1674 - 1674 = 0.) at rest.





But the distance of separation is 1674 since the earth is rotating.





The ground observer will say the earth is not moving where as the plane is moving with a speed of1674 toward west.





After all what we say about the speed of the flight is with respect to the ground and it is immaterial whether the flight is toward west or east.|||I suppose so.





The only doubt it may not is bcos of rotation of earth. Now, when we say they have same speed, this speed is with respect to ground (note that when flight lands and is still, speed is 0).





So, distance = speed * time which has to be same for both the flights for the same speed and time.|||This is no relativity question.|||If you are talking about flights on a spinning Earth, you cannot describe it with special relativity because you are dealing with an accelerating reference frame. There are any number of different reference frames that will give you any number of results.





You must either specify your reference frame and look for the result, or specify the result and look for the reference frame. You can find a reference frame in which the westbound flight takes more time, in which the eastbound flight takes more time, and in which they take the same amount of time.