A transverse mechanical wave is traveling along a string lying along the x-axis.

Question

A transverse mechanical wave is traveling along a string lying along the x-axis. The displacement of the string as a function of position and time, y(x,t), is described by the following equation:  y(x,t) = .0210*sin(3.80x - 156t)

where x and y are in meters and the time is in seconds.

a.what is the maximum speed in the y-direction of any piece of the string? (give positive answer for speed)

(question)

if two succesive overtones of a vibrating string are 280 Hz and 350 Hz, what is the frequency of the fundamental?

Explanation / Answer

v = dx/dt

Vmax = 0.021*156 = 3.276 m/s

b)

350*n-280*(n+L/2)=0

L = 0.5 m

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