17.8 Shock waves  (Page 3/8)

A bullet is fired and moves at a speed of 1342 mph. Assume the speed of sound is $v=340.00\text{m/s}\text{.}$ What is the angle of the shock wave produced?

A speaker is placed at the opening of a long horizontal tube. The speaker oscillates at a frequency of f , creating a sound wave that moves down the tube. The wave moves through the tube at a speed of $v=340.00\text{m/s}\text{.}$ The sound wave is modeled with the wave function $s\left(x,t\right)=s_{\text{max}}\text{cos}\left(kx-\omega t+\varphi \right)$ . At time $t=0.00\text{s}$ , an air molecule at $x=2.3\text{m}$ is at the maximum displacement of 6.34 nm. At the same time, another molecule at $x=2.7\text{m}$ has a displacement of 2.30 nm. What is the wave function of the sound wave, that is, find the wave number, angular frequency, and the initial phase shift?

An airplane moves at Mach 1.2 and produces a shock wave. (a) What is the speed of the plane in meters per second? (b) What is the angle that the shock wave moves?

A 0.80-m-long tube is opened at both ends. The air temperature is $26\text{°}\text{C}\text{.}$ The air in the tube is oscillated using a speaker attached to a signal generator. What are the wavelengths and frequencies of first two modes of sound waves that resonate in the tube?

A tube filled with water has a valve at the bottom to allow the water to flow out of the tube. As the water is emptied from the tube, the length L of the air column changes. A 1024-Hz tuning fork is placed at the opening of the tube. Water is removed from the tube until the $n=5$ mode of a sound wave resonates. What is the length of the air column if the temperature of the air in the room is $18\text{°}\text{C?}$

Consider the following figure. The length of the string between the string vibrator and the pulley is $L=1.00\text{m}\text{.}$ The linear density of the string is $\mu =0.006\text{kg/m}\text{.}$ The string vibrator can oscillate at any frequency. The hanging mass is 2.00 kg. (a)What are the wavelength and frequency of $n=6$ mode? (b) The string oscillates the air around the string. What is the wavelength of the sound if the speed of the sound is $v_s=343.00\text{m/s}$ ?

Early Doppler shift experiments were conducted using a band playing music on a train. A trumpet player on a moving railroad flatcar plays a 320-Hz note. The sound waves heard by a stationary observer on a train platform hears a frequency of 350 Hz. What is the flatcar’s speed in mph? The temperature of the air is $T_{\text{C}}=22\text{°}\text{C}$ .

Two cars move toward one another, both sounding their horns $\left(f_s=800\text{Hz}\right)$ . Car A is moving at 65 mph and Car B is at 75 mph. What is the beat frequency heard by each driver? The air temperature is $T_C=22.00\text{°}\text{C}$ .

Student A runs after Student B. Student A carries a tuning fork ringing at 1024 Hz, and student B carries a tuning fork ringing at 1000 Hz. Student A is running at a speed of $v_A=5.00\text{m/s}$ and Student B is running at $v_B=6.00\text{m/s}\text{.}$ What is the beat frequency heard by each student? The speed of sound is $v=343.00\text{m/s}\text{.}$