Consider a string with linear density 0.002 kg/m and tension 3 N. What is the sp

Question

Consider a string with linear density 0.002 kg/m and tension 3 N. What is the speed of any wave on the string? If this string was driven at a frequency of 30 Hz, what would the corresponding wavelength be? Finally, consider if this string was fixed at both ends so that a node must exist at each end and only standing waves can exist. If the length of the string is 40 cm a. Sketch the 3 lowest wavelengths that can occur on this string b. Determine the length of the 3 lowest wavelengths. c. Determine the corresponding frequencies of the 3 lowest wavelengths

Explanation / Answer

1)

v= sqrt(T/m)

=sqrt(3/0.002kg/m)

=38.72 m/s

2) lamda= c/ f

= (3 *10^8)/30 Hz

= 10^7 m

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