Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 18, Problem 30PQ
A string fixed at both ends resonates in its fourth harmonic. The tension in the string is quadrupled. What happens to a. the speed of the wave, b. its wavelength, and c. its frequency?
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Chapter 18 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 18.1 - As shown in Figure 18.3, two pulses trawling along...Ch. 18.1 - Prob. 18.2CECh. 18.2 - A wave pulse travels to the left on a rope as...Ch. 18.3 - Noise cancellation headphones use a microphone to...Ch. 18.8 - Tuning the Guitar Before a performance, a piano is...Ch. 18 - Prob. 1PQCh. 18 - Two pulses travel in opposite directions along a...Ch. 18 - Prob. 3PQCh. 18 - Prob. 4PQCh. 18 - Prob. 5PQ
Ch. 18 - The wave function for a pulse on a rope is given...Ch. 18 - Prob. 7PQCh. 18 - Prob. 8PQCh. 18 - Prob. 9PQCh. 18 - Prob. 10PQCh. 18 - Prob. 11PQCh. 18 - Two speakers, facing each other and separated by a...Ch. 18 - Prob. 13PQCh. 18 - Prob. 14PQCh. 18 - Prob. 15PQCh. 18 - As in Figure P18.16, a simple harmonic oscillator...Ch. 18 - A standing wave on a string is described by the...Ch. 18 - The resultant wave from the interference of two...Ch. 18 - A standing transverse wave on a string of length...Ch. 18 - Prob. 20PQCh. 18 - Prob. 21PQCh. 18 - Prob. 22PQCh. 18 - Prob. 23PQCh. 18 - A violin string vibrates at 294 Hz when its full...Ch. 18 - Two successive harmonics on a string fixed at both...Ch. 18 - Prob. 26PQCh. 18 - When a string fixed at both ends resonates in its...Ch. 18 - Prob. 28PQCh. 18 - Prob. 29PQCh. 18 - A string fixed at both ends resonates in its...Ch. 18 - Prob. 31PQCh. 18 - Prob. 32PQCh. 18 - Prob. 33PQCh. 18 - If you touch the string in Problem 33 at an...Ch. 18 - A 0.530-g nylon guitar string 58.5 cm in length...Ch. 18 - Prob. 36PQCh. 18 - Prob. 37PQCh. 18 - A barrel organ is shown in Figure P18.38. Such...Ch. 18 - Prob. 39PQCh. 18 - Prob. 40PQCh. 18 - The Channel Tunnel, or Chunnel, stretches 37.9 km...Ch. 18 - Prob. 42PQCh. 18 - Prob. 43PQCh. 18 - Prob. 44PQCh. 18 - If the aluminum rod in Example 18.6 were free at...Ch. 18 - Prob. 46PQCh. 18 - Prob. 47PQCh. 18 - Prob. 48PQCh. 18 - Prob. 49PQCh. 18 - Prob. 50PQCh. 18 - Prob. 51PQCh. 18 - Prob. 52PQCh. 18 - Prob. 53PQCh. 18 - Dog whistles operate at frequencies above the...Ch. 18 - Prob. 55PQCh. 18 - Prob. 56PQCh. 18 - Prob. 57PQCh. 18 - Prob. 58PQCh. 18 - Prob. 59PQCh. 18 - Prob. 60PQCh. 18 - Prob. 61PQCh. 18 - Prob. 62PQCh. 18 - The functions y1=2(2x+5t)2+4andy2=2(2x5t3)2+4...Ch. 18 - Prob. 64PQCh. 18 - Prob. 65PQCh. 18 - Prob. 66PQCh. 18 - Prob. 67PQCh. 18 - Prob. 68PQCh. 18 - Two successive harmonic frequencies of vibration...Ch. 18 - Prob. 70PQCh. 18 - Prob. 71PQCh. 18 - Prob. 72PQCh. 18 - A pipe is observed to have a fundamental frequency...Ch. 18 - The wave function for a standing wave on a...Ch. 18 - Prob. 75PQCh. 18 - Prob. 76PQCh. 18 - Prob. 77PQCh. 18 - Prob. 78PQCh. 18 - Prob. 79PQCh. 18 - Prob. 80PQ
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- A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is doubled, by what factor does the amplitude change? (a) a factor of 4 (b) a factor of 2 (c) a factor of 2 (d) a factor of 0.707 (e) cannot be predictedarrow_forwardBy what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forwardA taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forward
- A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are in meters and t is in seconds. Determine (a) the transverse speed and (b) the transverse acceleration at t = 0.200 s for an element of the string located at x = 1.60 m. What are (c) the wavelength, (d) the period, and (e) the speed of propagation of this wave?arrow_forwardA 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?arrow_forwardThe speed of a transverse wave on a string is v=60.00 m/s and the tension in the string is FT=100.00 N . What must the tension be to increase the speed of the wave to v=120.00 m/s?arrow_forward
- A stretched string fixed at each end has a mass of 40.0 g and a length of 8.00 m. The tension in the string is 49.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?arrow_forwardA 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?arrow_forwardA wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?arrow_forward
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Wave Speed on a String - Tension Force, Intensity, Power, Amplitude, Frequency - Inverse Square Law; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=vEzftaDL7fM;License: Standard YouTube License, CC-BY
Vibrations of Stretched String; Author: PhysicsPlus;https://www.youtube.com/watch?v=BgINQpfqJ04;License: Standard Youtube License