Modern Physics

Time Dilation

Δt=γΔt0=Δt01v2c2\Delta t = \gamma \Delta t_0 = \frac{\Delta t_0}{\sqrt{1 - \frac{v^2}{c^2}}}

Moving clocks run slower. Time measured in the rest frame is shorter than time measured by a moving observer.

Variables

\Delta t
Dilated time (observed)
s
\Delta t_0
Proper time
s
\gamma
Lorentz factor
unitless
v
Relative velocity
m/s
c
Speed of light
m/s

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