Let's say that I have some type of long bar. It is perfectly incompressible. On one side I have a sensor that detects any force. On the other end, I hit the bar with a hammer. From the moment my hammer hits this bar and the moment my force transducer picks up the force on the other end should be instantaneous right? Why would this scenario be any slower than the speed of light?
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In this you should have concept about wave.As you hit on one side, particels of the bar would oscillate. Then a wave in those particles would be orginated.This wave would transfer the force to other terminal.Time of transferring to other end depends on the wave’s velocity which is propotional to force.If you apply more force,the wave velocity will be more but not more than the speed of light.Because if you want to get equal speed of light, it will requried more and more and more force which is out of our think.In real life this wave speed is approximately 5000 m/s(If the bar is of iron) < 300000000 m/s