Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 16, Problem 4P
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Sound is detected when a sound wave causes the tympanic membrane (the ear drum) to vibrate. Typically, the diameter of this membrane is about 8.4 mm in humans. A) how much energy is delivered to the eardrum each second when someone whispers (20 dB) into your ear? B) to comprehend how sensitive the ear is to very small amounts of energy, calculate how fast a typical 2.0 mg mosquito would have to fly (in mm/s) to have this amount of kinetic energy.
Two adjacent natural frequencies of an organ pipe are found to be 616 Hz and 792 Hz.
(a) Calculate the fundamental frequency.
(b) What is the length of the pipe?
For a person with normal hearing, the faintest sound thatcan be heard at a frequency of 400 Hz has a pressure amplitude of about6.0 * 10-5 Pa. Calculate the (a) intensity; (b) sound intensity level;(c) displacement amplitude of this sound wave at 20°C.
Chapter 16 Solutions
Physics for Scientists and Engineers
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- A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forwardA sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forwardA sound wave in air at 20°C has a frequency of 320 Hz anda displacement amplitude of 5.00 * 10-3 mm. For this sound wavecalculate the (a) pressure amplitude (in Pa); (b) intensity (in W/m2);(c) sound intensity level (in decibels).arrow_forward
- A sound wave in air has a pressure amplitude of 4.00 Paand a frequency of 5.00 kHz. Take P 0 at the pointx 0 when . (a) What is P at x 0 when t 2.00 104 s? (b) What is P at x 0.020 0 m when t=0?arrow_forwardA lab technician wishes to determine the distance from ground to water level in a well by using an adjustable frequency oscillator in the audio range. Her assistant reports that she is able to establish two successive resonances at 51.76 Hz and 58.71 Hz. (Assume that the speed of sound in air is 343 m/s.) (a) How deep (in m) is the well? 28.169 The well acts like a pipe closed at one end. Write an expression for the length of the air column in terms of the number of quarter wavelengths for each case. How many more quarter wavelengths exist for the higher frequency case? See if you can use this information to determine the number of quarter wavelengths for both frequencies and then the distance of interest. (b) How many antinodes are in the standing wave at 51.76 Hz? 17 In Part (a), you determined the number of quarter wavelengths associated with this frequency. Think of the number of quarter wavelengths as some number of whole wavelengths plus some additional quarter wavelengths. How…arrow_forwardA sound wave in air has a frequnecy of 276 Hz and travels with a speed of 341 m/s. How far apart are the wave crests (compressions)?arrow_forward
- A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a frequency of 9.01 104 Hz, and if the speed of sound in air is 343 m/s, what is the smallest insect a bat can detect?arrow_forwardA person wears a hearing aid that uniformly increases the intensity level of all audible frequencies of sound by 30.0 dB. The hearing aid picks up sound having a frequency of 100 Hz and an intensity of 3.9e-10 W/m22. What is the intensity delivered to the eardrum?arrow_forwardThe speed of sound in dry air at 20 °C is 343 m/s and the lowestfrequency sound wave that the human ear can detect is approximately20 Hz. (a) What is the wavelength of such a soundwave?arrow_forward
- Estimate the speed of sound in air at standard temperature and pressure. The mass of 1 mole of air is given to be 29.0*1/1000 kg.arrow_forwardA certain factory whistle can be heard up to a distance of 1.1 km. Assuming that the acoustic output of the whistle is uniform in all directions, at what distance from the factory (in km) is the intensity level of the whistle sound equal to 12 db? The threshold of human hearing is 1.0 * 10^-12 W/m^2.arrow_forwardThe frequency of G, on the piano is 196.0 Hz. (a) What is the wavelength (in m) of sound' with this frequency as it travels in water at room temperature? 7.638 X m (b) What is the wavelength (in m) of sound with this frequency in helium at room temperature? 5.138 Need Help? Read Itarrow_forward
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