A metal wire of length 20 cm and diameter 0.2 mm is stretched by a load of 2 kg wt. If the density of material of wire is 7.89/cm³. Find the fundamental frequency of vibration of the wire, (g= 9.8 m/s²)

A string clamped at two ends is vibrating at a fundamental frequency of 439 Hz such that the distance between adjacent nodes is 43 cm. The tension of the wire is 86 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.

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, standing wave exists on a string of length L=3.23m.  If a particular wave is measured to have a wave velocity of v=37.54 m/s, what is the frequency (in Hz) of the n=10 vibrational mode?

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.

3.13 The A string on a cello vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 69.0 cm long and has a mass of 1.30 g. (a) Find the tension in the string. N (b) Determine the frequency of vibration when the string vibrates in three segments. 660 ✓ Hz

A string of mass 16.6 grams and length 0.74 meters and fixed at the ends is under tension 243 N. What is the vibrational frequency of n= 4 harmonic?

A 2.35-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 15.0 N. (a) What are the frequencies of the first three allowed modes of vibration? f = Hz f2 = Hz f3 = Hz (b) If a node is observed at a point 0.470 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.) O The frequency is the twentieth state at 79.9 Hz O The frequency is the tenth state at 39.9 Hz O The frequency is the fifth state at 20.0 Hz O The frequency is the second state at 8.0 Hz O The frequency is the fifth state at 10.0 Hz O The frequency is the tenth state at 8.0 Hz