You are talking to your friend using a tin can telephone, which consists of two
ID: 1270333 • Letter: Y
Question
You are talking to your friend using a tin can telephone, which consists of two steel cans connected by a 15.5-m long stretched steel wire. In this set up, the sound waves from you travels along the string and reaches to the other end where your friend is listening. How long does it take for the wave traveling in the wire to reach your friend? Assume that the wire has a linear mass density of 0.00613 kg/m and the restoring force in the wire is 32.4 N.
options:
0.0452 s
14.3 s
0.516 s
0.678 s
0.213
0.0452 s
14.3 s
0.516 s
0.678 s
0.213
(i am getting a number around 0.426 but it is not matching up with any of the options)Explanation / Answer
wave velocity = v = (Restoring force / density of medium)-1/2
= (32.4 / 0.00613)-1/2 m/s = 72.70 m/s
So, time taken by wave = length of wire / wave velocity
= 15.5 m / 72.7 m/s = 0.213 s
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