A lead cable of radius 1.6 cm is fixed at both ends and has a tension of 45,800 N. For this cable, the tenth harmonic has a frequency of 910 Hz. Determine the fundamental frequency, the fundamental wavelength, the wave speed, and the length of the cable. (note: leads density is 11.3 g/cm3 ) f1 = 91 Hz ?1 = v = L =

A A-string on a particular guitar has a circular cross-section with a diameter of 0.914 mm. The vibrating length of the string is 65.0 cm.   (1) If the density of the string is 7,600 kg/m3, find the mass per unit length of the string.   (2) For the string to be in tune, it should have a natural frequency of 110.00 Hz. Find the tension in the string that produces this natural frequency.  (3) Assuming that the guitar string is in tune, find the frequency and wavelength of the 5th harmonic.

For testing purposes, a musical instrument manufacturing company creates a device so that when you blow into one end with your instrument, sound comes out the other end in opposite directions. A sound technician uses a whistle and generates sound waves with a frequency of 242 Hz. The waves travel in opposite directions in a band room, are reflected by end walls, and return. The band room is 44.0 m long and the whistle is located 14.0 m from one end. What is the phase difference (in degrees) between the reflected waves when they meet at the source of the sound? The speed of sound in air is 343 m/s.

The string of 5 meters long is clamped at the ends and is vibrating as the third harmonic. The string vibrates up and down with 75 complete vibrational cycles in 6 seconds. Determine the frequency of the wave.