Answer to Question #216607 in Mechanics | Relativity for Pearl

Question

An airplane circle the earth at 0.6c. how many years must elapse before a clock in the plane and the one on the ground differ by 1second(0.694S)

Answer 1

Let T denote the elapsed time on the ground, and t the elapsed time on the airplane. Then we have 

$$T=\frac{t}{\sqrt{1-\frac{v^2}{c^2}}}\\T-t=1\\ T=\frac{T-1}{\sqrt{1-0.6^2}}\\T=5\ s$$