The time interval it would take a transverse wave to travel the entire length of the two wires is equal to 0.3295 seconds.
<u>Given the following data:</u>
- Length of steel wire = 30.0 m.
- Length of copper wire = 20.0 m
- Diameter of copper wire = 1.00 mm to m = 0.001 m.
- Diameter of steel wire = 1.00 mm to m = 0.001 m.
<u>Scientific data:</u>
- Density of steel = 7860 kg/m³.
- Density of copper = 8920 kg/m³.
<h3>How to determine the time interval?</h3>
First of all, we would determine the speed of the wave of steel wire and copper wire respectively.
For the speed of the wave of steel wire, we have:
Mathematically, the speed of a wave of steel wire can be calculated by using this formula:
Vs = √[T/(ρπd²/4)]
Vs = √[150/(7860 × 3.142 × 0.001²)/4)]
Vs = √(150/0.0062)
Vs = √24,193.55
Speed, Vs = 155.54 m/s.
For the speed of the wave of copper wire, we have:
Mathematically, the speed of a wave of copper wire can be calculated by using this formula:
Vc = √[T/(ρπd²/4)]
Vc = √[150/(8920 × 3.142 × 0.001²)/4)]
Vc = √(150/0.0070)
Vc = √21,428.57
Speed, Vc = 146.39 m/s.
Now, we can determine the time interval:
Time = t₁ + t₂
Time = Ls/Vs + Lc/Vc
Time = 30.0/155.54 + 20.0/146.39
Time = 0.1929 + 0.1366
Time = 0.3295 seconds.
Read more on wave travel time here: brainly.com/question/13931407
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