Please show all work and try to explain in as much detail as possible A steel wire in a piano has a length of 0.92m and a mass of 7.8grams. The wire is stretched under 520 N of tension, and fixed at both ends*a) How fast do the waves travel on the steel wire?b) What is the wavelength of the fundamental standing wave on the wire?c) Sketch the standing waves of harmonic orders 3 and 6, and calculate the corresponding frequencies?

Given data: Length of the wire l =0.92m Mas of the wire m=7.8g Tension in the string T=520N

A steel wire in a piano has a length of 0.92m and a mass of 7.8grams. The wire is stretched under 520 N of tension, and fixed at both e *a) How fast do the waves travel on the steel wire? b) What is the wavelength of the fundamental standing wave on the wire? c) Sketch the standing waves of harmonic orders 3 and 6, and calculate the corresponding frequencies?

A steel wire in a piano has a length of 0.92m and a mass of 7.8grams. The wire is stretched under 520 N of tension, and fixed at both e *a) How fast do the waves travel on the steel wire? b) What is the wavelength of the fundamental standing wave on the wire? c) Sketch the standing waves of harmonic orders 3 and 6, and calculate the corresponding frequencies?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter16: Oscillatory Motion And Waves

Section: Chapter Questions

Problem 61PE: A wave traveling on a Slinky® mat is stretched to 4 m takes 2.4 s to travel the length at me Slinky...

See similar textbooks

Similar questions

Suppose all six equal-length strings of an acoustic guitar are played without fingering, that is, without being pressed down at any frets. What quantities are the same for all six strings? Choose all correct answers. (a) the fundamental frequency (b) the fundamental wavelength of the siring wave (c) the fundamental wavelength of the sound emitted (d) the speed of the string wave (e) the speed of the sound emitted
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?
A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?
The 64.0-cm-long string of a guitar has a fundamental frequency of 330 Hz when it vibrates freely along its entire length. A fret is provided for limiting vibration to just the lower two-thirds of the string. (a) If the string is pressed down at this fret and plucked, what is the new fundamental frequency? (b) What If? The guitarist can play a natural harmonic by gently touching the string at the location of this fret and plucking the string at about one-sixth of the way along its length from the other end. What frequency will be heard then?
A wave traveling on a Slinky® mat is stretched to 4 m takes 2.4 s to travel the length at me Slinky and back again. (a) What is the speed of the wave? (b) Using the same Slinky stretched to the same length, a standing wave is created which consists of three antinodes and four nodes. At what frequency must the Slinky be oscillating?
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.
The adjacent natural frequencies of an organ pipe are found to be 550. Hz and 650. Hz. (a) Calculate the fundamental frequency of the pipe. (b) Is the pipe open at both ends or open at only one end? (c) What is the length of the pipe?
A string with a linear mass density of 0.0062 kg/m and a length of 3.00 m is set into the n=4 mode of resonance. The tension in the string is 20.00 N. What is the wavelength and frequency of the wave?
The adjacent natural frequencies of an organ pipe are found to be 550. Hz and 650. Hz. (a) Calculate the fundamental frequency of the pipe. (b) Is the pipe open at both ends or open at only one end? (c) What is the length of the pipe?