5. The longitudinal displacements of air molecules in a sound wave are described by: y-32x 10"...
4. The variation of pressure in a sound wave is described by the following function p-17 sin (6.50x-1 500t + π/2) Nm? where x is in meters and t is in seconds. (a) By comparing to the general form of the functions describing sound waves in Equation 1.6 and in Exercise 1.4, determine the amplitude of the pressure variations, the angular wave number, the angular frequency and the phase angle, giving the correct units for each. Determine (b) the amplitude...
The wave function for a standing wave on a string is described by y(x, t) = 0.016 sin(4πx) cos (57πt), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m ymax = m vmax = m/s (b) x = 0.25 m ymax = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x − 1125t)] y2 = 4.80 sin [π(4.10x − 1125t − 0.250)] where x, y1, and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2?
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t) where x and y are in meters and t is in seconds. Determine the following for this wave. (a) the amplitude ______________ m (b) the angular frequency _______________ rad/s (c) the angular wave number _____________ rad/m (d) the wavelength _________ m (e) the wave speed ________ m/s
A sound wave traveling through water can be described by the following wave function: (x, t) = A cos (kx - omega t + pi/3) A = 0.040 m k = 1.11 rad/m omega = 1646.195 rad/s rho_water = 1.0 times 10^3 kg/m^3 a) What is the wavelength of this wave? What is the period of this wave? b) What is the amplitude of this wave? What is the phase of the wave when t = 3.0 s and x...
11.9 A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x and y are in meters and t is in seconds. Determine the following for this wave (a) the amplitude (b) the angular frequency rad/s (c) the angular wave number rad/m (d) the wavelength 25.56 What is the relationship between the wave number and the wavelength? m e) the wave speed The speed can be calculated from a number of quantities that involve the length...
6. A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. (d) Determine the speed of the wave. 7. When a particular wire is vibrating with a frequency of 3.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the...
12. A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a sound standing wave in an open-open tube. In particular, both ends of the rod are anti-nodes. What is the fundamental frequency of a 2.50 m -long aluminum rod? The speed of sound in...
please give me answers to all the questions and i would really appreciate that thank you 6. -0 points My Notes O Ask Your Teache A 10.1 kg object oscillates at the end of a vertical spring that has a spring constant of 2.20 x 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N-s/m (a) Calculate the frequency of the dampened oscillation. H2 (b) By what percentage does the amplitude of the...