The speed of sound in air at 20C is 344 m/s. (a) What is thewavelength of a sound wave with a frequency of 784 Hz, correspondingto the note G5 on a piano, and how many milliseconds does each vibrationtake? (b) What is the wavelength of a sound wave one octave higher(twice the frequency) than the note in part (a)?

A water wave has a frequency of 9.0 Hz and a wavelenght of 5.0m. (a)  What is the period (in seconds) of these waves? (b) What is the wave velocity in m/s?

A Slinky stretched to 4.00 m carries a wave along its length. (a) How fast does the wave propagate if it takes 2.4 s to travel down the Slinky and back again? (b) In the same Slinky, a standing wave with four nodes and three antinodes is set vibrating. What is the frequency of vibrations?

A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time t = 0.001 s and displacement x = 1.0 m.  Write an expression for the maximum pressure exerted by the sound wave ΔPmax in terms of the air density ρa, the sound velocity v, the angular frequency ω, and the maximum displacement smax. The sound wave is directly incident on a sheet of paper of surface area A = 0.013 m2. Calculate the maximum force Fmax, in newtons, exerted on this sheet.

A student shares a surgical tubing in the lab. The tension on the tubing is 50N. The student measures the fourth frequency of the tubing to the 20 Hz. The length of the tubing is 2m. Calculate the mass of the tubing

.  A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343m/s.�=343m/s. (a) If the maximum pressure difference is 1.30 Pa, what is a wave function that would model the sound wave, assuming the wave is sinusoidal? (Assume the phase shift is zero.) (b) What are the period and wavelength of the sound wave?

A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the wavelength λ of the sound wave, in meters.  Calculate the wavenumber k of the sound, in radians per meter.  Calculate the angular frequency of the sound ω, in radians per second.

Two strings both vibrate at exactly 802 Hz. The tension in one of them is then increased slightly. As a result, 3 beats per second are heard when both strings vibrate. What is the new frequency of the string that was tightened?  Calculate to one decimal.

A bat, moving at 3 m/s, is chasing a flying insect. If the bat emits a 40-kHz chirp and receives back an echo at 40.7 kHz, at what speed is the insect moving? (Take the speed of sound in air to be v= 343 m/s.) State your answer to the nearest 0.01m/s. NOTE: Sign of your answer matters! Both of the speeds (insect's and bat's ) are measured with respect to the stagnant air.

The linear density of the A string on a violin is 7.8 * 10-4 kg/m. A wave on the stringhas a frequency of 440 Hz and a wavelength of 65 cm. What is the tension in thestring?