18. Waves & Sound

A 2 m long string is arranged as shown in the figure below. If the mass of the string is 0.5 kg, what would the frequency be of a wave with a 2 cm wavelength?

A rope with length 2.50 m and mass 0.10 kg is stretched and pulled to create transverse waves of frequency 40.0 Hz and wavelength of 0.750 m. How much tension is exerted on the rope?

An oscillating blade creates waves on a string. If the amplitude of the wave doubles, what happens to the wavelength λ and v?

The string in FIGURE P16.59 has linear density μ. Find an expression in terms of M, μ, and θ for the speed of waves on the string.

String 1 in FIGURE P16.47 has linear density 2.0 g/m and string 2 has linear density. A student sends pulses in both directions by quickly pulling up on the knot, then releasing it. What should the string lengths L₁ and L₂ be if the pulses are to reach the ends of the strings simultaneously?

The wave speed on a string under tension is 200 m/s. What is the speed if the tension is halved?

A 0.40-kg cord is stretched between two supports 8.7 m apart. When one support is struck by a hammer, a transverse wave travels down the cord and reaches the other support in 0.85 s. What is the tension in the cord?

A 4.4-kg ball hangs from a steel wire 1.00 mm in diameter and 5.00 m long. What would be the speed of a transverse wave in the steel wire?

A ski gondola [pronounced gon–do–la] is connected to the top of a hill by a steel cable of length 710 m and diameter 1.5 cm. As the gondola comes to the end of its run, it bumps into the terminal and sends a transverse wave pulse along the cable. It is observed that it took 17 s for the pulse to return. What is the tension in the cable?

A transverse wave on a wire is given by D (x, t) = 0.015 sin ( 35x - 1200 t), where D and x are in meters and t is in seconds. What is the speed of either wave?

A 10.0-m-long wire of mass 138 g is stretched under a tension of 255 N. A pulse is generated at one end, and 20.0 ms later a second pulse is generated at the opposite end. Where will the two pulses first meet?

A uniform cable 2.0-m long hangs vertically under its own weight. Determine the speed of waves on the cable as a function the distance y (positive down from the top of the cable, where y = 0).

When a guitar string plays the note 'A,' the string vibrates at 440 Hz. What is the period of the vibration?

A cord of mass 0.65 kg is stretched between two supports 7.2 m apart. If the tension in the cord is 120 N, how long will it take a pulse to travel from one support to the other?

What is the frequency of an electromagnetic wave that has the same wavelength as a 2.5 kHz sound wave in water?