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An 160.0-m-long, 2.10-mm-diameter copper wire is stretched between two poles. A

ID: 1515576 • Letter: A

Question

An 160.0-m-long, 2.10-mm-diameter copper wire is stretched between two poles. A bird lands at the center point of the wire, sending a small wave pulse out in both directions. The tension in the copper wire is 200 N. How long will it take a pulses to reect at the end and arrive back at the bird’s location after the bird lands on the wire. The density of copper is 8.9×103kg/m3 An 160.0-m-long, 2.10-mm-diameter copper wire is stretched between two poles. A bird lands at the center point of the wire, sending a small wave pulse out in both directions. The tension in the copper wire is 200 N. How long will it take a pulses to reect at the end and arrive back at the bird’s location after the bird lands on the wire. The density of copper is 8.9×103kg/m3

Explanation / Answer

By using the well known equation v = (T / µ) . . . Eq1
Where v = Velocity of wave, T = Tension on wire in Newtons,
and µ = mass of wire in kg/m.
.
The density of copper is 8.9×103kg/m3

µ = volume of 1m of wire x density of Copper
= (d² / 4 ) x1 x 8960 kg/m^3
= ((2.10)² / 4 ) x1 x 8960 kg/m
µ = 0.03103 kg/m

v = (T / µ)

=80.283m/s

v=L/T

80.283=160/T=1.993s

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