rvanveshana.com
t_obs = 0.00s
Mirror (Top)Mirror (Bottom)STATIONARY FRAME (S)MOVING (S')

Live Telemetry & Summary

Observe how the red photon in the moving frame travels along a longer diagonal path. Since the speed of light is constant, the moving clock takes longer to tick from mirror to mirror as velocity increases!

Lorentz Factor (ฮณ):1.2500x
Time Dilation Rate:+25.0%
Stationary Time (tโ‚€):0.00 s
Dilated Time (t):0.00 s

Variable Adjuster

Velocity (v/c)0.6c
00.99
Rest Interval (tโ‚€)4s
110

Time Dilation Lab

TDIL

Special Relativity states that time is relative. A clock in motion relative to an observer ticks slower than an identical clock at rest. This occurs because the speed of light is constant in all reference frames; therefore, light in the moving clock must travel a longer diagonal path to tick, which takes more time.

t=ฮณt0=t01โˆ’v2/c2t = \gamma t_0 = \frac{t_0}{\sqrt{1 - v^2/c^2}}

Whiteboard Solver Steps

Step 1

Lorentz Factor (ฮณ) Calculation

The Lorentz factor represents the scale of relativistic time dilation and length contraction.

ฮณ=11โˆ’(v/c)2=11โˆ’(0.600)2=1.2500\gamma = \frac{1}{\sqrt{1 - (v/c)^2}} = \frac{1}{\sqrt{1 - (0.600)^2}} = 1.2500
Step 2

Time Dilation Calculation

A clock moving at velocity v relative to an observer ticks slower by the factor ฮณ compared to a clock at rest.

t=ฮณโ‹…t0=1.2500โ‹…4.00=5.0000 st = \gamma \cdot t_0 = 1.2500 \cdot 4.00 = 5.0000\text{ s}