A band has two string instruments with 75-cm long and linear densities of 0.75 g/m and 1.5 g/m respectively. Both the strings were held under 30 N of tension force. The strings were plucked and vibrate at their fundamental frequency What is the velocity of the first string in unit of m/s, with the density of 0.75 g/m?

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 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.

Earthquakes at fault lines in Earth's crust create seismic waves, which are longitudinal (P-waves) or transverse (S-waves). The P-waves have a speed of about 6 km/s. Estimate the average bulk modulus of Earth's crust given that the density of rock is about 2,800 kg/m3.