A uniform flexible cable is 20m long and has a mass of 5.0 kg. It hangs vertically under its own weight and is vibrated from its upper end with a frequency of 7.0 Hz a.Find the speed of transverse wave on the cable at midpoint
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- The windpipe of one typical whooping crane is 5.5 feet long. What is the fundamental resonant frequency of the bird's trachea, modeled as a narrow pipe closed at one end? (Assume a temperature of 34°C.)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 nylon rope of length 18m is under a tension of 1.8 * 10^4 N. The total mass of this rope is 2.7 kg. If a wave pluse starts a one end of this rope, find its speed.
- A wave is modeled with the function y(x,t) = (0.25m)cos(0.30m x-0.90s-1t+r/3). Find (0.5+ (a) the amplitude, (b) the wave speed, (c) the direction of the waveTransverse waves with a speed of 46.5 m/s are to be produced on a stretched string. A 5.40-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string? (b) Calculate the wave speed in the string if the tension is 8.00 N. m/sTension is maintained in the string as shown in the figure. The observed transverse wave speed in the string is 24.0 m/s when the suspended mass is 3.00 kg. (a) What is the mass per unit length in the string? (b) What is the transverse wave speed in the string when the suspended mass is 2.00 kg? m.
- 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.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.A harmonic wave travels down a string under 60 N of tension with a mass per unit length of 0.400 kg/m. The wave has an amplitude of 3.00 cm, and a wavelength of 1.40 m. What is the average power transferred by the wave? (Give your answer in W.)