A 1.00-m long string with a mass of 15.0g is placed under a tension on 35.0 N. It is plucked so it vibrates in its fundamental standing wave mode. What are the frequency and wavelength of the sound. (Assume a temperature of 20°C - therefore the speed of sound through the air is ≈ 343 m/s)
2007-06-29 10:18:03 · 3 answers · asked by James Z 1 in Science & Mathematics ➔ Physics
velocity of wave on a string = sqrt (T / mu)
where T is tension, mu is the linear mass density
= sqrt (T * l / m)
where mu is replaced my mass / length
For a standing wave with nodes on both ends:
fundamental wavelength = 2l
frequency = speed / wavelength
= sqrt (T l / m) / 2l = sqrt (T / 4lm)
The speed of sound in air is needed to get the wavelength of sound in the air.
wavelength = speed / frequency
= 2c sqrt(lm/T)
2007-06-29 10:46:00 · answer #1 · answered by Anonymous · 0⤊ 0⤋
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2007-06-29 10:21:00 · answer #2 · answered by hil s 2 · 0⤊ 0⤋
The basic equation is f(Hz) = sqrt(T/(m/L)) / (2*L).
L=1, m/L=0.015, T=35.
f=24.15 Hz,
wavelength in air = 343/24.15 = 14.20 m,
wavelength on wire = 2L = 2 m.
2007-06-29 10:43:04 · answer #3 · answered by kirchwey 7 · 0⤊ 0⤋