Suppose the strings on a violin are stretched with the same tension and each has the same length between its two fixed ends. The musical notes and corresponding fundamental frequencies of two of these strings are G (196.0 Hz) and E (659.3 Hz). The linear density of the E string is 7.74 x 10-4 kg/m. What is the linear density of the G string?

A string clamped at two ends is vibrating at a fundamental frequency of 443.5 Hz such that the distance between adjacent nodes is 44 cm. The tension of the wire is 93 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.

How long is this column of air if v = 354 m/s?

The G string on a guitar is a 0.46 mm diameter steel string with a linear density of 1.3 g/m. When the string is properly tuned to 196 Hz, the wave speed of the string is 250 m/s. Tuning is done by slowly tightening the string, and stretching it in the process. By how many mm does a 75 cm-long G string stretch when it is first tuned? [Hint: Look up relevant properties of steel as needed.]

A phone cord is 4.89 m long. The cord has a mass of 0.212 kg. A transverse wave pulse is produced by plucking one end of the taut cord. That pulse makes four round trips (down and back) along the cord in 0.666 s. What is the tension in the cord? Hint: Four round trips is a total distance of eight lengths of the cord.

A transverse wave on a cable is described by the function y(x,t) = (2.3 m ) cos [(4.7 m¯¹) x + (12 s¯¹) t − π/2], where distance is measured in meters and time in seconds. If the tension in the cable is 25 N, what is the linear mass density of the cable?

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.

Problem 2: On a violin, the string with the smallest linear density (0.00042 kg/m) is the E5 string. The string produces a fundamental frequency (n = 1) of 659.3 Hz and has a length of 0.32 m between the two fixed ends. What is the tension in the string?

1.8 m/s A musical note on a piano has a frequency of 40 Hz. If the tension in the 2-m string is 308 N, and one-half wavelength occupies the string, what is the mass of the wire? 0.047 kg 0.024 kg 0.019 kg 0.031 kg O 0.040 kg with tension force T. is given by the wave

A guitar string has a mass per length of 2.33 x 10 kg/m and a tundamental frequency of 146.8 Hz when it is under a tonsion of 82 4N. The string breaks, and its owner has only a spare string of mass per length 6.61 x 10 kg/m.