
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Standing waves are set up on two strings fixed at each end, as shown in the drawing. The two strings have the same tension and mass per unit length, but they differ in length by 0.51 cm. The waves on the shorter string propagate with a speed of 42.7 m/s, and the fundamental frequency of the shorter string is 234 Hz. Determine the beat frequency produced by the two standing waves.
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- Standing waves are set up on two strings fixed at each end, as shown in the drawing. The two strings have the same tension and mass per unit length, but they differ in length by 0.59 cm. The waves on the shorter string propagate with a speed of 41.2 m/s, and the fundamental frequency of the shorter string is 237 Hz. Determine the beat frequency produced by the two standing waves.arrow_forwardA transverse sinusoidal wave on a string has a period T = 39.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 1.00 m/s. (a) What is the amplitude of the wave? 0.021 ✔ m (b) What is the phase constant? 0.3 X Your response differs from the correct answer by more than 10%. Double check your calculations. rad (c) What is the maximum transverse speed of the string? 3.37 ✔ m/s (d) Write the wave function for the wave. (Use the form Asin(kx + oot + p). Round all coefficients to three significant figures.) y(x, t) = Xarrow_forwardA transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 83 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.0 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If the wave equation is of the form y(x, t) = ym sin(kx ±wt + q), what are (c) ym, (d) k, (e) w, (f) 4, and (g) the correct choice of sign in front of w?arrow_forward
- Tension is maintained in a string as in the figure below. The observed wave speed is v = 15.0 m/s when the suspended mass is m = 3.00 kg. (You may assume that the length of the vertical portion of the string is negligible compared to the length of the string.) (a) What is the mass per unit length of the string? kg/m (b) What is the wave speed when the suspended mass is m = 2.30 kg? m/sarrow_forwardTwo transverse waves travel through a taut string. The speed of each wave is v = 30.00 m/s. A plot of the vertical position as a function of the horizontal position is shown below for the time t = 0.00 s. (a) What is the wavelength of each wave? (b) What is the frequency of each wave? (c) What is the maximum vertical speed of each string?arrow_forwardA sinusoidal wave travels along a string. The time for a par- ticular point to move from maximum displacement to zero displacement is 178 ms. The wavelength of the wave is 1.38 m. Find (a) the period, (b) the frequency, and (c) the speed of the wave.arrow_forward
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