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blackbeard angelo.edu Physics 2425: Homework 28 What is the frequency of oscilla

ID: 1780327 • Letter: B

Question

blackbeard angelo.edu Physics 2425: Homework 28 What is the frequency of oscillation, wavelength, wave-speed, and amplitude of oscillation for a travelling wave described by the equation: y (30cm)sin(1 6x-8) Calculate the surface wave speed in seawater. Use one atmosphere for the Pressure near the surface and 1030 kg/m for the density of seawater. A 60-cm long guitar string is under a tension of 95 N. If the mass of the string is 0.21 g, find the fundamental frequency of this string. 4. The wave speed on the string shown is 85.0m/s. What is the mass/length of the string? str ing 3

Explanation / Answer

3.

L = length of the string = 60 cm = 0.60 m

T = tension force = 95 N

M = mass of the string = 0.21 g = 0.21 x 10-3 kg

m = mass per unit length = M/L = (0.21 x 10-3)/0.6 = 0.35 x 10-3 kg/m

fundamental frequency is given as

f = (1/(2L)) sqrt(T/m)

f = 1/(2 x 0.6) sqrt(95/(0.35 x 10-3)) = 434.2 Hz