16.65 CP Suppose that you are at a bowling alley. (a) By com- paring to the...
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16.65 CP Suppose that you are at a bowling alley. (a) By com- paring to the sounds listed in Table 16.2, for your location estimate the sound intensity level in decibels and the intensity in W/m² of the crash- ing pins after a well-executed strike. (b) Using 18 m as the length of a bowling alley, determine the average power associated with that sound. (c) Estimate the duration of the crashing sound. Multiply your esti- mate by the average power to obtain the sound energy released in the strike. (d) Estimate the time it took the bowling ball to travel down the alley prior to the strike. Use that time to estimate the speed of the ball. (e) Assume the ball has a mass of 6.4 kg. Account for both translational and rotational motions to estimate the kinetic energy of the bowling ball immediately prior to the strike. (f) What fraction of the ball's energy was converted to sound? TABLE 16.2 Sound Intensity Levels from Various Sources (Representative Values) Sound Intensity Level, Intensity, B (dB) I (W/m²) Source or Description of Sound Military jet aircraft 30 m away Threshold of pain Riveter Elevated train Busy street traffic Ordinary conversation Quiet automobile Quiet radio in home Average whisper Rustle of leaves Threshold of hearing at 1000 Hz 140 120 95 90 70 65 50 40 20 10 0 10² 1 3.2 x 103 10-3 10-5 3.2 x 10-6 107 10-8 10-10 10-11 10-12 16.65 CP Suppose that you are at a bowling alley. (a) By com- paring to the sounds listed in Table 16.2, for your location estimate the sound intensity level in decibels and the intensity in W/m² of the crash- ing pins after a well-executed strike. (b) Using 18 m as the length of a bowling alley, determine the average power associated with that sound. (c) Estimate the duration of the crashing sound. Multiply your esti- mate by the average power to obtain the sound energy released in the strike. (d) Estimate the time it took the bowling ball to travel down the alley prior to the strike. Use that time to estimate the speed of the ball. (e) Assume the ball has a mass of 6.4 kg. Account for both translational and rotational motions to estimate the kinetic energy of the bowling ball immediately prior to the strike. (f) What fraction of the ball's energy was converted to sound? TABLE 16.2 Sound Intensity Levels from Various Sources (Representative Values) Sound Intensity Level, Intensity, B (dB) I (W/m²) Source or Description of Sound Military jet aircraft 30 m away Threshold of pain Riveter Elevated train Busy street traffic Ordinary conversation Quiet automobile Quiet radio in home Average whisper Rustle of leaves Threshold of hearing at 1000 Hz 140 120 95 90 70 65 50 40 20 10 0 10² 1 3.2 x 103 10-3 10-5 3.2 x 10-6 107 10-8 10-10 10-11 10-12
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