2) The wave function for a travelling wave on a taut string is y = 0.250 sin ( 10nt – 4nx +-); (all in SI units) i) Determine the maximum transverse speed of an element of the string? ii) If the mass per unit length of this string is 10.0 g/m, determine the power to be supplied to generate the above waveform travelling at the maximum transverse speed?

2) The wave function for a travelling wave on a taut string is y = 0.250 sin ( 10nt – 4nx +-); (all in SI units) i) Determine the maximum transverse speed of an element of the string? ii) If the mass per unit length of this string is 10.0 g/m, determine the power to be supplied to generate the above waveform travelling at the maximum transverse speed?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Wave Motion

Section: Chapter Questions

Problem 16.9P

See similar textbooks

Similar questions

Verify by direct substitution that the wave function for a standing wave given in Equation 17.1, y=(2Asinkx)coswt is a solution of the general linear wave equation, Equation 16.27: 2yx2=1v22yt2
A steel wire with mass 25.0 g and length 1.35 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. (b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz? (c) Calculate the tension required to obtain the proper frequency. (d) Calculate the wavelength of the strings vibration. (e) What is the wave-length of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)
A distance of 5.00 cm is measured between two adjacent nodes of a standing wave on a 20.0-cm-long string. (a) In which harmonic number n is the string vibrating? (b) Find the frequency of this harmonic if the string has a mass of 1.75 102 kg and a tension of 875 N.
When a pulse travels on a taut string, does it always invert upon reflection? Explain.
Consider the following wave function in SI units: P(r,t)=(25.0r)sin(1.36r2030t) Explain how this wave function can apply to a wave radiating from a small source, with r being the radial distance from the center of the source to any point outside the source. Give the most detailed description of the wave that you can. Include answers to such questions as the following and give representative values for any quantities that can be evaluated. (a) Does the wave move more toward the right or the left? (b) As it moves away from the source, what happens to its amplitude? (c) Its speed? (d) Its frequency? (e) Its wavelength? (f) Its power? (g) Its intensity?
Assume two identical sinusoidal waves are moving through the same medium in the same direction. Under what condition will the amplitude of the resultant wave be greater than either of the two original waves? (a) in all cases (b) only if the waves have no difference in phase (c) only if the phase difference is less than 90 (d) only if the phase difference is less than 120 (e) only if the phase difference is less than 180
A sinusoidal wave in a string is described by the wave function y=0.150sin(0.800x50.0t) where x and y are in meters and t is in seconds. The mass per length of the string is 12.0 g/m. (a) Find the maximum transverse acceleration of an element of this string. (b) Determine the maximum transverse force on a 1.00-cm segment of the string. (c) State how the force found in part (b) compares with the tension in the string.
A steel wire with mass 25.0 g and length 1.35 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. (b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz? (c) Calculate the tension required to obtain the proper frequency. (d) Calculate the wavelength of the strings vibration. (e) What is the wave-length of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)
A distance of 5.00 cm is measured between two adjacent nodes of a standing wave on a 20.0-cm-long string. (a) In which harmonic number n is the string vibrating? (b) Find the frequency of this harmonic if the string has a mass of 1.75 102 kg and a tension of 875 N.