Question

In: Physics

A sound source A and a reflecting surface B move directly toward each other. Relative to...

A sound source A and a reflecting surface B move directly toward each other. Relative to the air, the speed of source A is 29.7 m/s, the speed of surface B is 63.5 m/s, and the speed of sound is 330 m/s. The source emits waves at frequency 1350 Hz as measured in the source frame. In the reflector frame, what are (a) the frequency and (b) the wavelength of the arriving sound waves? In the source frame, what are (c) the frequency and (d) the wavelength of the sound waves reflected back to the source?

Solutions

Expert Solution

Let the frequency of the sound from the reflector frame is n_o.

Given that the speed of the source A is v_A=29.7 m/s.

The speed of the surface B is v_B=63.5 m/s.

The frequency of the source sound n_s=1350 Hz.

The speed of the sound v_s=330 m/s.

a) For both the source and surface are moving, the frequency of the arriving sound

The frequency is 1768.98 Hz.

b) Let the wavelength of the arriving sound is .

The wavelength of the arriving sound is 0.187 m.

c) Let the frequency of the reflected sound from the surface B is n_r.

The frequency of the reflected sound wave is 2387.627 Hz.

d) Let the wavelength of the sound reflected back to the source is .

The wavelength of the sound reflected back to the source is 0.138 m.

genius_generous answered 1 month ago

Next > < Previous

Related Solutions

A completely inelastic collision occurs between two balls of putty that move directly toward each other...

A completely inelastic collision occurs between two balls of putty that move directly toward each other along a vertical axis. Just before the collision, one ball of mass m1 is moving upward at speed v1 and the other ball of mass m2 is moving downward at speed v2. In the following, if there is gravity it has acceleration g. (a) Suppose the collision happens very fast. What is the velocity of the putty immediately after the collision? (b) Suppose the...

In an experiment, two protons are shot directly toward each other, each moving at half the...

In an experiment, two protons are shot directly toward each other, each moving at half the speed of light relative to the laboratory. a What speed does one proton measure for the other proton? b What would be the answer to part (a) if we used only nonrelativistic Newtonian mechanics? c What is the kinetic energy of each proton as measured by an observer at rest in the laboratory? d What is the kinetic energy of each proton as measured...

In the figure here, a red car and a green car move toward each other in...

In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 222 m. If the red car has a constant velocity of 25.0 km/h, the cars pass each other at x = 43.0 m. On the other hand, if the red car has a constant velocity...

The Doppler effect - the shift in frequency/wavelength of a sound source when there is relative...

The Doppler effect - the shift in frequency/wavelength of a sound source when there is relative motion between source & observer - and a Sonic Boom - a conical region of compression that forms around the sound source when its speed exceeds the speed of sound in the medium of the source, and results in an observed "boom" when part of the cone passes the observer's location - are two interesting, common, as well as connected phenomena seen this week....

. Two masses travel toward each other across a horizontal, frictionless surface. They collide, resulting in...

. Two masses travel toward each other across a horizontal, frictionless surface. They collide, resulting in 100 Joules of kinetic energy being lost. Below is a list of the known quantities. Mass#1 = 5.00 kg and has an initial velocity of 10.0 m/s to the right and a final velocity of 3.00 m/s to the right. Mass#2 = unknown and has an initial velocity of 4.00 m/s to the left and a final velocity that is unknown. What is the...

When a sound wave travels directly toward a hard wall, the incoming and reflected waves can...

When a sound wave travels directly toward a hard wall, the incoming and reflected waves can combine to produce a standing wave. There is an antinode right at the wall, just as at the end of a closed tube, so the sound near the wall is loud. You are standing beside a brick wall listening to a 80Hz tone from a distant loudspeaker. How far from the wall must you move to find the first quiet spot? Assume a sound...

Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train...

Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train is blowing a whistle at 580 Hz. (Give your answers to at least three significant figures.) (a) What frequency will be heard on the other train in still air? (b) What frequency will be heard on the other train if the wind is blowing at 30.6 m/s toward the whistle and away from the listener? (c) What frequency will be heard if the wind...