Question about light clock thought expiriment (relativity)?

Question

In the expiriment observer 1 is stationary, observer 2 is moving. Both have light clock where a beam of light bounces back and forth to measure time. Occording to 2 his light beam is bouncing a short distance up and down. But 1 says 'no it is moving in a triangular motion because you are moving, therefore the light beam has further to travel and your clock is slow'. This seems to me that if someone where travelling at a relatively slow speed the light beam would have much further to travel. So why doesn't time slow noticeably for someone say travelling in an aeroplane?

Answer 1

The other answers are correct.  Qualitatively, relativistic effects associated with speed v are proportional to

square root(1 - v^2/c^2)

So relativistic effects are negligible for most purposes at speeds like those of an aeroplane, because v is much too small compared with c, the speed of light.

Answer 2

In actual fact, it does. However, the speed of the plane relative to the speed of light is so small that the slowing of time is not noticed.

If the speed increases, then the time delay becomes noticeable much sooner.

Answer 3

It does - it also slows if you get up and walk round your living room. But the effects of these are minimal because of the the comparatively slow speeds.

The effects and consequences of relativity apply universally, but they're not noticeable (by us, anyway) until the speed is very high - far higher than anything we can currently accomplish.

Answer 4

The distances and speeds you talk about are insignificant relative to the speed of light, time is affected by any motion, but aircraft speed, even the fastest of them will have an effect is too small to detect.