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A copper rod at 25°C is 1.5 m long. How long would it take a sound to move through the rod from one end to another? how would I do this?

Verified Answer :

HomertheGenius

Speed of sound in copper at normal temperature ( 293.15 K ) is:
v = 3,570 m / s
L = 1.5 m
t = L / v = 1.5 m / 3,570 m/s
t = 0.00042 s = 4.2 * 10^(-4) s

Answer : Time, t = 0.00042 s

Explanation :

It is given that,

Length of the copper rod, \(l=1.5\ m\)

The speed of sound in copper wire at \(25^0\ C\) is, \(v=3560\ m/s\)

We know that the speed of the sound wave is given by :

\(s=\dfrac{d}{t}\)

Distance travelled is equal to the length of the wire.

\(t=\dfrac{d}{s}\)

\(t=\dfrac{1.5\ m}{3560\ m/s}\)

\(t=0.00042\ s\)

Hence, this is the required solution.    

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