Additional Problems
A 0.80-m-long tube is opened at both ends. The air temperature is 26°C. 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°C?
Consider the following figure. The length of the string between the string vibrator and the pulley is L=1.00m. The linear density of the string is μ=0.006kg/m. 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 vs=343.00m/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 TC=22°C.
Two cars move toward one another, both sounding their horns (fs=800Hz). 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 TC=22.00°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 vA=5.00m/s and Student B is running at vB=6.00m/s. What is the beat frequency heard by each student? The speed of sound is v=343.00m/s.
Suppose that the sound level from a source is 75 dB and then drops to 52 dB, with a frequency of 600 Hz. Determine the (a) initial and (b) final sound intensities and the (c) initial and (d) final sound wave amplitudes. The air temperature is TC=24.00°C and the air density is ρ=1.184kg/m3.
The Doppler shift for a Doppler radar is found by f=fR(1+vc1−vc), where fR is the frequency of the radar, f is the frequency observed by the radar, c is the speed of light, and v is the speed of the target. What is the beat frequency observed at the radar, assuming the speed of the target is much slower than the speed of light?
A stationary observer hears a frequency of 1000.00 Hz as a source approaches and a frequency of 850.00 Hz as a source departs. The source moves at a constant velocity of 75 mph. What is the temperature of the air?
A flute plays a note with a frequency of 600 Hz. The flute can be modeled as a pipe open at both ends, where the flute player changes the length with his finger positions. What is the length of the tube if this is the fundamental frequency?