I have two fishing lines that are of the same material but one has a larger cross sectional area than the other, which one will transfer energy faster? I am not a physics person so a simple amswer would be appreciated. Thanks
I believe it does. That means with the larger fishing line I would detect the fishes strike faster than with the smaller line.
For the same tension in the line, the speed of sound is higher in the cord with lowest linear density. Assuming the same material, the thin line will transmit a mechanical excitation faster. (If the fish applies the same tension...).
While this is true, when would you actually feel the fish pulling on the rod? Probably not when the first signal reaches the end of the line, but later, after the line pulls with enough force for you to feel it.
You're assuming the fish can apply the same force in an equal amount of time on both strings. However, if you consider the elasticity of the strings, the fish would need to swim further and stretch the small string more before the "sensitivity threshold" is met, compared to a larger string. Compared to this delay, the delay due to the signal propagation speed is insignificant.