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A transverse sinusoidal wave on a wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 18.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.60 m/s. (a) What is the amplitude of the wave (in m)? 0.0205 ✔m (b) What is the phase constant (in rad)? 1.793 rad (c) What is the maximum transverse speed of the wire (in m/s)? 7.15 ✔ m/s (d) Write the wave function for the wave. (Use the form A sin(kx + wt + p). Assume that y and x are in m and t is in s. Do not include units in your answer.) y(x, t) = 0.0205 sin(11.62x - 348.87t+1.793)

A transverse sinusoidal wave on a wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 18.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.60 m/s. (a) What is the amplitude of the wave (in m)? 0.0205 ✔m (b) What is the phase constant (in rad)? 1.793 rad (c) What is the maximum transverse speed of the wire (in m/s)? 7.15 ✔ m/s (d) Write the wave function for the wave. (Use the form A sin(kx + wt + p). Assume that y and x are in m and t is in s. Do not include units in your answer.) y(x, t) = 0.0205 sin(11.62x - 348.87t+1.793)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A transverse sinusoidal wave on wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 18.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.60 m/s. (a) What is the amplitude of the wave (in m)? 0.0205 m (b) What is the phase constant (in rad)? 1.793 rad (c) What is the maximum transverse speed of the wire (in m/s)? 7.15 m/s (d) Write the wave function for the wave. (Use the form A sin(kx + wt + p). Assume that y and x are in m and t is in s. Do not include units in your answer.) y(x, t) = 0.0205 sin(11.62x - 348.87t+1.793) X Use the standard wave function and the value of A calculated in part (a) and w and p in part (b). You will need to calculate k, which you can do using the relationship among speed, frequency, and wavelength and the relationship between frequency and angular frequency. m
Transcribed Image Text:A transverse sinusoidal wave on wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 18.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.60 m/s. (a) What is the amplitude of the wave (in m)? 0.0205 m (b) What is the phase constant (in rad)? 1.793 rad (c) What is the maximum transverse speed of the wire (in m/s)? 7.15 m/s (d) Write the wave function for the wave. (Use the form A sin(kx + wt + p). Assume that y and x are in m and t is in s. Do not include units in your answer.) y(x, t) = 0.0205 sin(11.62x - 348.87t+1.793) X Use the standard wave function and the value of A calculated in part (a) and w and p in part (b). You will need to calculate k, which you can do using the relationship among speed, frequency, and wavelength and the relationship between frequency and angular frequency. m
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