You are playing the guitar and tune a string by tightening a knob. Assume this is the only thing changing in the system. After you tune it, you begin to strum the string creating a standing wave on the string. (i) What happens to the frequency? Compare the pre-tuned and post-tuned situations. Explain conceptually and also with equations used this term. (ii) What happens to the wavelength? Compare the pre-tuned and post-tuned situations. Explain conceptually and also with equations used this term.

You are playing the guitar and tune a string by tightening a knob. Assume this is the only thing changing in the system. After you tune it, you begin to strum the string creating a standing wave on the string. (i) What happens to the frequency? Compare the pre-tuned and post-tuned situations. Explain conceptually and also with equations used this term. (ii) What happens to the wavelength? Compare the pre-tuned and post-tuned situations. Explain conceptually and also with equations used this term.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section14.5: Beats: Interference In Time

Problem 14.6QQ: You are tuning a guitar by comparing the sound of the string with that of a standard tuning fork....

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
You are tuning a guitar by comparing the sound of the string with that of a standard tuning fork. You notice a beat frequency of 5 Hz when both sounds are present. You tighten the guitar string and the beat frequency rises to 8 Hz. To tune the string exactly to the tuning fork, what should you do? (a) Continue to tighten the string. (b) Loosen the string. (c) It is impossible to determine.
Consider two wave functions that differ only by a phase shift, y1(x,t)=Acos(kxt) and y2(x,t)=Acos(kxt+) . Use the trigonometric cosu+cosv=2cos(uv2)cos(u+v2) and cos()=cos() to find a wave equation for the wave resulting from the superposition of the two waves. Does the resulting wave function come as a surprise to you?
A police car is traveling east at 40.0 m/s along a straight road, overtaking a car ahead of it moving east at 30.0 m/s. The police car has a malfunctioning siren that is stuck at 1 000 Hz. (a) What would be the wavelength in air of the siren sound if' the police car were at rest? (b) What is the wavelength in front of the police car? (c) What is it behind the police car? (d) What is the frequency heard by the driver being chased?
A tunnel under a river is 2.00 km long. (a) At what frequencies can the air in the tunnel resonate? (b) Explain whether it would be good to make a rule against blowing your car horn when you are in the tunnel.
A wave is modeled with the function y(x,t)=(0.25m)cos(0.30m1x0.90s1t+3) . Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.
Two strings are attached between two poles separated by a distance of 2.00 m as shown below, both under the same tension of 600.00 N. String 1 has a linear density of 1=0.0025 kg/m and string 2 has a linear mass density of 2=0.0035 kg/m. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
A transverse wave on a string (=0.0030kg/m) is described with the equation y(x,t)=0.30msin(24.00m(x16.00mst)) . What is the tension under which the string is held taut?
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?
A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that is defined at time t=0.00s by the equation y(s)=6.00m3x2+2.00m2 centered around x=0.00m . The pulse moves with a velocity of v=3.00m/s in the positive x-direction. (a) What is the amplitude of the pulse? (b) What is the equation of the pulse as a function of position and time? (c) Where is the pulse centered at time t=5.00s ?
(a) What are the loudnesses in phons of sounds having frequencies of 200, 1000, 5000, and 10,000 Hz. if they are all at the same 60.0dB sound intensity level? (b) If may are all at 110 dB? (c) If they are all at 20.0 dB?
Consider two waves defined by the wave functions y1(x,t)=0.20msin(26.00mx24.00st) and y2(x,t)=0.20mcos(26.00mx24.00st) . What are the similarities and differences between the two waves? frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.