Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 16, Problem 23P
To determine
The resonant frequency audibles to human ears.
The number of resonant frequencies lie in the audible range.
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The area of a typical eardrum is about 5.0x10−5 m2.
What is the sound power (energy per second) incident on the eardrum at the threshold of hearing?
What is the sound power (energy per second) incident on the eardrum at the threshold for pain?
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.
The area of a typical eardrum is about 5.0 × 10–5m2 . Calculate the sound power (the energy per second) incident on an eardrum at (a) the threshold of hearing and (b) the threshold of pain.
Chapter 16 Solutions
Physics for Scientists and Engineers
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- Based on the graph in Figure 17.36, what is the threshold of hearing in decibels for frequencies of 60, 400, 1000, 4000, and 15,000 Hz? Note that many AC electrical appliances produce 60 Hz, music is commonly 400 Hz, a reference frequency is 1000 Hz, your maximum sensitivity is near 4000 Hz, and many older TVs produce a 15,750 Hz whine. Figure 17.36 The relationship of loudness in phons to intensity level (in decibels) and intensity (in watts per meter squared) for persons with normal hearing. The curved lines are equal-loudness curves—all sounds on a given curve are perceived as equally loud. Phons and decibels are defined to be the same at 1000 Hz.arrow_forwardEnergy Delivered to the Ear. Sound is detected when a sound wave causes the tympanic membrane (the eardrum) 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) a secret in 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.arrow_forwardSome studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 2.00 x 104 Hz? (Assume a body temperature of 37.0°C.)arrow_forward
- The area of a typical eardrum is about 5.0 x 105 m2, (a) Calculate the sound power (the energy per second) incident on an eardrum at the threshold of hearing. (b) Calculate the sound power incident on an eardrum at the threshold of pain.arrow_forwardChapter 16, Problem 069 Your answer is partially correct. Try again. ES. lem The bellow of a territorial bull hippopotamus is measured at 116 dB above the threshold of hearing. What is the sound intensity? Hint: The threshold of human hearing is Io = 1.00 x 10-12 W/m2. plem %3D blem Number Units W/m^2 ▼ oblem the tolerance is +/-5% oblem roblem SHOW HINT Problem LINK TO TEXT Problem Problem By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Problem Question Attempts: 1 of 6 used SUBMIT ANSWER SAVE FOR LATER Problem Earn Maximum Points available only if you 8:02 PM 4/29/2020 19 e here to search 21 ASL pause break prt sc sysrq f11 f12 insert f8 f9 f10 f4 f5 f6 f7 f2 f3 backspace & %24 80 4 96arrow_forwardFor Exercise, the formula L = 10 log (£) gives the loudness of sound L (in dB) based on the intensity of sound I (in W/m2). The value 10 = 10-12 W/m2 is the minimal threshold for hearing for midfrequency sounds. Hearing impairment is often measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment. Category Loudness (dB) Mild 26 sLs 40 Moderate 41 90 a. If the minimum intensity heard by an individual is 3.4 x 10-8 W/m2, determine if the individual has a hearing impairment. b. If the minimum loudness of sound detected by an individual is 30 dB, determine the corresponding intensity of sound.arrow_forward
- For Exercise, the formula L = 10 log (£) gives the loudness of sound L (in dB) based on the intensity of sound I (in W/m2). The value 10 = 10-12 W/m2 is the minimal threshold for hearing for midfrequency sounds. Hearing impairment is often measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment. |Category Loudness (dB) Mild 26 sL 90 Determine the range that represents the intensity of sound that can be heard by an individual with severe hearing impairment.arrow_forwardDetermine how much the average force acting on the eardrum of the human ear (area S = 66 mm?) is less than the pain threshold if the sound pressure is 145,4 Pa. The sound frequency is 1 kHz. The sound pressure corresponding to the pain threshold is considered equal to 200 Pa. Please enter the units of measurements in your answer.arrow_forwardDetermine how much the average force acting on the eardrum of the human ear (area S = 66 mm?) is greater than the hearing threshold if the sound pressure is 112,3 Pa. The sound frequency is 1 kHz. The sound pressure corresponding to the hearing threshold is taken equal to 0.02 MPa. Please enter the units of measurement in your answer.arrow_forward
- A sound wave with intensity 2 x 10 -3 W/m2 is perceived to be modestly loud. Your eardrum is 6 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1 minute?arrow_forwardAlthough 0 dB is often referred to as the lower threshold of human hearing, it is important to realize that the human ear is not equally sensitive to all frequencies of sound. In other words, a particular noise may sound louder or softer depending on the frequency of the sound wave being transmitted. Because of this variation, scientists have defined a unit of loudness, called a phon, to represent the intensity of sound waves with a frequency of 1000 Hz: A 60-phon sound is one that is perceived by the human ear to have the same loudness as a sound wave with an intensity of 60 dB and a frequency of 1000 Hz. Figure Intensity (in dB) 100 80 60 40 20 0 30 50 100 500 100 phons 80 phons 60 phons 40 phons 20 phons 0 phons 000'I Frequency (in Hz) 000'S 10,000 1 of 1 There is no simple mathematical formula for converting phons into decibels. The relationship between these two measures of intensity has been determined by experiment. The graph (Figure 1) displays the perceived loudness of sound…arrow_forwardA 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 64.0 kHz, and if the speed of sound in air is 340 m/s, what is the smallest insect a bat can detect?arrow_forward
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