a) A standing wave is set up on a string of length 4.15 m as shown below. What is the wavelength of the standing wave? Number m b) Travelling waves are moving down a string of linear mass density 6 x103 kg/m which is under 700 N of tension. What is the speed of the waves? Number m/s c) A standing wave with 6 antinodes is excited in a string of length 3 m where the wave speed is 103 m/s. What is the frequency of oscillations on the string? Number hz

a) A standing wave is set up on a string of length 4.15 m as shown below. What is the wavelength of the standing wave? Number m b) Travelling waves are moving down a string of linear mass density 6 x103 kg/m which is under 700 N of tension. What is the speed of the waves? Number m/s c) A standing wave with 6 antinodes is excited in a string of length 3 m where the wave speed is 103 m/s. What is the frequency of oscillations on the string? Number hz

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 69P: Two strings are attached between two poles separated by a distance of 2.00 m as shown below, both...

See similar textbooks

Similar questions

Sine waves are sent down a 1.5-m-long string fixed at both ends. The waves reflect back in the opposite direction. The amplitude of the wave is 4.00 cm. The propagation velocity of the waves is 175 m/s. The n=6 resonance mode of the string is produced. Write an equation for the resulting standing wave.
A transverse wave on a horizontal string (=0.0060kg/m) is described with the equation y(x,t)=0.30msin(24.00m(xvwt)) . The string is under a tension of 300.00 N. What are the wave speed, wave number, and angular frequency of the wave?
Check Your Understanding The wave equation 2y(x,t)x2=1v22y(x,t)t2 works for any wave of the form y(x,t)=f(xvt) . In the previous section, we stated that a cosine function could also be used to model a simple harmonic mechanical wave. Check if the wave y(x,t)=0.50mcos(0.20m1x4.00s1t+10) is a solution to the wave equation. Any disturbance that complies with the wave equation can propagate as a wave moving along the x-axis with a wave speed v. It works equally well for waves on a string, sound waves, and electromagnetic waves. This equation is extremely useful. For example, it can be used to show that electromagnetic waves move at the speed of light.
A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It moves at a constant wave speed of 1.50 m/s propagating in the positive x-direction. At t=0 , the water displacement at x=0 is zero, and vyis positive. (a) Assuming the wave can be modeled as a sine wave, write a wave function to model the wave. (b) Use a spreadsheet to plot the wave function at times t=0.00s and t=2.00s on the same graph. Verify that the wave moves 3.00 m in those 2.00 s.
A sinusoidal wave travels down a taut, horizontal string with a linear mass density of =0.060 kg/m . The maximum vertical speed of the wave is vymax=0.30 cm/s. The wave is modeled with the wave equation y(x,t)=Asin(6.00m1x24.00s1t) . (a) What is the amplitude of the wave? (b) What is the tension in the string?
A traveling wave on a string is modeled by the wave equation y(x,t)=0.30msin(8.00m1x+100.00s1t) . The string is under a tension of 50.00 N and has a linear mass density of =0.008 kg/m. What is the average power transferred by the wave on the string?
Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR(x,t)=0.35cmsin(6.28m1x1.57s1t+4) . What are the period, wavelength, amplitude, and phase shift of the individual waves?
A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?
A transverse wave on a string is described with the wave function y(x,t)=(0.50cm)sin(1.57m1x6.28s1t) . (a) What is the wave velocity of the wave? (b) What is the magnitude of the maximum velocity of the string perpendicular to the direction of the motion?
Transverse waves are sent along a 5.00-m-long string with a speed of 30.00 m/s. The string is under a tension of 10.00 N. What is the mass of the string?
A transverse wave on a string has a wavelength of 5.0 m, a period of 0.02 s, and an amplitude of 1.5 cm. The average power transferred by the wave is 5.00 W. What is the tension in the string?
The wave function that models a standing wave is given as yr(x,t)=6.00cmsin(3.00m1x+1.20rad)cos(6.00s1t+1.20rad) . What are two wave functions that interfere to form this wave function? Plot the two wave functions and the sum of the sum of the two wave functions at t=1.00 s to verify your answer.