Bob is standing at a distance of 100 m from the center of circular train track with radius R = 50 m, observing a train moving with a constant speed of v = 20 m/s. If the motion of the train creates a sound with frequency f=300 Hz (heard by the observer on the train), a) what are the highest and the lowest frequencies that Bob hears? (Take the speed of sound in air to be 340 m/s) b) If he measures the sound level of 50 db when the train is at its farthest distance from him, what is the maximum sound level he measures?
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- Pr5. Two identical loudspeakers are located at points (-10,0,0) and (0,0, 10) of our coor- dinate system, where the numbers in the brac- kets correspond to the (r, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequ- ency of 170 Hz. The speed of sound in air can be considered 340 m/s. a) Give the coordinates of those points loca- ted on the positive r axis where the sound waves coming from the two loudspeakers interfere con- structively. b) A receiver is started to move slowly from the origin (0,0,0) along a path lying in the r-y plane so that it receives constant sound intensity throughout its slow motion. What is the shape of the path the receiver should take?A car approaches a reflective wall. A stationary observer behind the car hears a sound of frequency f₁ from the car horn and a sound of frequency f₂ coming from the wall. (a) What is the ratio of the car's speed to the speed of sound in air in terms of f₁ and f₂? (b) What is the frequency of the car's horn in terms of f₁ and f₂? (c) We now assume that the speed of local sound is 340 m/s, and that the car's horn has a frequency of 500 Hz. If the observer hears 30 seconds per second, what is the car's speed?Problem-2: m Submarine A is chasing submarine B at a depth of 250 m. Submarine A is travelling at a speed of 10" while submarine B is т travelling faster at a speed of 12- 1200". Submarine B sends out a sonar ping at 1 kHz. Assume that the speed of sound at this depth is т a) What frequency of sound hits submarine A? (Answer:982 Hz) b) What would the frequency be if submarine B was moving at double its speed? (Answer:972 Hz)
- A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) Find the resultant wave function analytically. Study how the resulting wave behaves in time.A particular bathroom stall is x = 1.4 m wide, y = 2.5 m long and z = 3.9 m high. Calculate the frequency in Hz of a standing wave in this bathroom stall where Nx = 1, Ny = 0, and Nz = 0.two trains A and B approach a station from opposite sides, sounding their whistles. A stationary observer and the platform hears no beats. if the velocities of A and B are 15 m/s and 30 m/s respectively and the real frequency of the whistle of B is 600 Hz, the real frequency of the hustle A is (velocity of sound= 300 m/s
- Two identical waves travel in the same direction, each with a wavelength λ = 0.5 m and speed v = 20 m/s. When the two waves interfere, they form a resultant wave. The angular frequency of the resultant wave is:One way to monitor global warming is to measure the average temperature of the ocean. Researchers are doing this by measuring the time it takes sound pulses to travel underwater over large distances. At a depth of 1000 m, where ocean temperatures hold steady near 4∘C, the average sound speed is 1480m/s. It's known from laboratory measurements that the sound speed increases 4.0m/s for every 1.0∘C increase in temperature. In one experiment, where sounds generated near California are detected in the South Pacific, the sound waves travel 8300 km .If the smallest time change that can be reliably detected is 1.0 s, what is the smallest change in average temperature that can be measured?An ultrasonic flow meter for measuring flow rate in a square channel uses two transducers that are placed at x = 1.35 m (Transducer 1) and x = 1.75 m (Transducer 2). x is measured along the length of the channel. The width of the channel is 0.3 m. The speed of sound in blood is 1500 m/s and the flow rate is 1.2 m3/s. Find the transit time (in μs) of the wave from Transducer 1 to 2 and the transit time (in μs) of the wave from Transducer 2 to 1.
- A physics professor demonstrates the Doppler effect by tying a 450 HzHz sound generator to a 1.0-mm-long rope and whirling it around her head in a horizontal circle at 100 rpm. What is the difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator?A string of length L is under tension, and the speed of a wave in the string is 58 m/s. What will be the speed of a wave in the string, in m/s, if the length is doubled but with no change in the mass or tension?The function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis parallel to the string. If the wavelength of the wave λ = 0.8 m and w = 17.1л/s, what is the speed of the traveling wave? Express your answer in m/s, to at least one digit after the decimal point.