Question

A sinusoidal wave has the equation shown below, with x and y in meters and t in seconds. y = 0.015 Sin [8.055 x - 2674.6t+0.20] a) What is the frequency of the wave? b) What is the wavelength of the wave? c) What is the speed of the wave? A. The frequency is 440 Hz B. The frequency is 17370 Hz OC. The frequency is 2.27 x 10-3 Hz D. The frequency is 691 Hz OE. The frequency is 1.28 Hz OF. The wavelength is 31.4 m OG The wavelength is 1.28 m OH. The wavelength is 0.780 m OL The wavelength is 50.6 m OJ. The wavelength is 440 m OK. The speed is 884 m/s OL. The speed is 13549 m/s OM The speed is 64.8 m/s ON. The speed is 0.999 m/s 00. The speed is 343 m/s

Answer 1

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Solution- y= 0.015 sin C8.055x - 2674.6+ + 2.0) Compaining it with y- Adio (kx-wt +O) number (k)= 8.055. angular frequency (PW) = 2674. 6 rad/s. have Cave (a) We know that. f= w SD, 2 IT 2674.6 211 425.67 Hz. which is closer to option (A) 440 Hz So, option (A) is the answer (6) We know that k = 2T So, Ane d = 2T 2T 0.780 m K 8.055 Option (H) is the correct answer. (c) We know that, u= for, so 440 X 0.780 343. 2 mle option (o) is the corret aniwir.