1. A sinusoidal wave train is described by y = 0.5 sin n(x + 4t + 1/2)) where x and y are measured in centimeters (a) What is the magnitude of the maximum transvers velocity and acceleration of the wave? (b) Determine the wavelength and the period of the wave.
2. An ambulance emits a 400 Hz sound while standing at the fire station. A passenger in a car detects a frequency of 420 Hz while approaching the fire station. What is the speed of the passenger's car?
3. A string of 0.016 Wm mass density and 120 cm long vibrates in 5 segments when under a tension of 300 N. Determine the frequency of the 4" harmonic of the string.
4. An observer records 60 db at a distance of 100 cm from a speaker. At what distance does he record a sound intensity of 80 dB?
5. Verify whether the following functions are a solution of the linear wave equation given below? Show your work y = 2Asin(kx) cos(wt)
6. Two waves, and are given by the equations yi = 2.5 sinπ(x + 5t) and y2 = 2.5 sinπ(x +5t). (a) Determine the equation of the standing wave. (b) Determine the position of the first 4 nodes of the standing wave.
7. A 75 cm pipe open on both ends is played when the temperature is 0°C. What are the values of the frequencies of the first three harmonics emitted by the instrument at 0°C?
8. A long piece of piano wire of mass of 4 Wm is under tension of 1.0 kN. What is the speed of transverse waves on this wire? Determines the wavelength of a wave on this wire if its frequency is 300 Hz?
9. A string with a mass of 6 g and a length of 4 m has one end attached to a wall; the other end is passed over a pulley and attached to a hanging object with a mass of 5 kg. If the string is plucked, what is the fundamental frequency of vibration?

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1 a The general equation describing a wave is yxt A sinkx wt Our equation y 05 sin x 4t 12 The ampli... View the full answer