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Wherever necessary, assume the speed of sound at standardatmospheric pressure an

ID: 1726121 • Letter: W

Question

Wherever necessary, assume the speed of sound at standardatmospheric pressure and temperature
is 340 m/s.
1. Archaeologists have unearthed a primitive stringed instrument atthe ancient Sumerian city
of Lude.
The Ludicrous harp, as it is known, consisted of a single 1.6-mlong metal string suspended
from the ceiling, with a 3.2-kg mass suspended from the other end.The wire was made of
silver (density 10.5 kg/m3), and it was 1.0 mm in diameter.

(a) What was the speed of a wave along the string?
(b) What was the fundamental frequency of this instrument?
(c) What was the frequency of the second harmonic?

Explanation / Answer

when they ask for the speed of a wave can we use the equation: v = T/(mass/length) eq. and solve for it? If so, how can we calculate T in (newtons), can it be done byT = mg ( since it is like a pulley hanging from a string, sogravity acts on it.) Thanks a lot

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