Does a 2 Light-Year Long Steel Bar Move Instantly When Pushed?

In summary, when a steel bar that is 2 light years long is moved forward a couple inches, there will be a delay before the other end moves forward a couple inches. This is because the movement will propagate down the bar at the speed of sound in the bar, which is the square root of Young's modulus over density. This means the bar will temporarily be a couple of inches shorter due to the compression wave that is sent down the bar. The inertia of such a long bar also plays a role in this phenomenon.
  • #1
Drew boxer
1
0
I'm a physics teacher and one of my AP students posed the following question: "if there was a steel bar 2 light years long and you moved it forward a couple inches, would the other end move forward a couple inches immediately or would there be a delay?". We'd been discussing electric fields, so that got him thinking. I thought it was interesting and wondered how others would have answered.

Thanks,
 
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  • #2
There would be a delay. The movement would propagate down the bar at the speed of sound in the bar, which is [itex]\sqrt{Y/\rho}[/itex], square root of Young's modulus over density.
 
  • #3
Khashishi said:
There would be a delay. The movement would propagate down the bar at the speed of sound in the bar, which is [itex]\sqrt{Y/\rho}[/itex], square root of Young's modulus over density.

So if what you say is true then the bar would be a couple of inches shorter for a little while ? I fail to understand how that can happen :S
 
  • #4
It's not surprising that the length of the bar will change. If you strike a bar, it will compress a little and send a compression wave down the bar. It's no different if you move it gently--the compression wave is just much smaller in amplitude.
 
  • #5
Not to mention the inertia of a 2 lightyear long steel bar!
 

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