A Pneumatic Warning Siren. A pneumatic siren can be made by blowing a narrow jet of air through equally spaced hole disk. The time it takes for successive holes to pass thought the jet stream is equal to the period of the resulting sound wave. You and your team are designing such a device to be used as a community warning alarm to be activated in the case of severe weather, or othe dangerous situations. The siren should produce a tone as close as possible to 710Hz, and people with average hearing should be able to detect it above normal conversation at a distance of at least 2.0 miles. The circular pattern of holes will be located 24 cm from the center of a thin aluminum disk, and the motor that rotates the disk runs at 1500 rpm. (a) What even integer number of equally spaced holes will result in a sound frequency closest to the desired 710 Hz? (b) What should be the minimum sound output power of the siren in watts (W) so that people with average hearing can detect it above normal conversation at a distance of 2.0 miles from the source? You can assume that the output is isotropic, that is, it emanates like a spherical wave, and that the sound intensity of normal conversion is 3.20 x 10-6 W/m2 (from Table 16.2). P

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Chapter1: Units, Trigonometry. And Vectors
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A Pneumatic Warning Siren. A pneumatic siren can be made by blowing a narrow jet of air through equally spaced holes on a rotating
disk. The time it takes for successive holes to pass thought the jet stream is equal to the period of the resulting sound wave. You and
your team are designing such a device to be used as a community warning alarm to be activated in the case of severe weather, or other
dangerous situations. The siren should produce a tone as close as possible to 710Hz, and people with average hearing should be able
to detect it above normal conversation at a distance of at least 2.0 miles. The circular pattern of holes will be located 24 cm from the
center of a thin aluminum disk, and the motor that rotates the disk runs at 1500 rpm. (a) What even integer number of equally spaced
holes will result in a sound frequency closest to the desired 710 Hz? (b) What should be the minimum sound output power of the siren
in watts (W) so that people with average hearing can detect it above normal conversation at a distance of 2.0 miles from the source?
You can assume that the output is isotropic, that is, it emanates like a spherical wave, and that the sound intensity of normal
conversion is 3.20 x 10-6 W/m² (from Table 16.2).
(a) Number
(b) Number
Units
Units
Transcribed Image Text:A Pneumatic Warning Siren. A pneumatic siren can be made by blowing a narrow jet of air through equally spaced holes on a rotating disk. The time it takes for successive holes to pass thought the jet stream is equal to the period of the resulting sound wave. You and your team are designing such a device to be used as a community warning alarm to be activated in the case of severe weather, or other dangerous situations. The siren should produce a tone as close as possible to 710Hz, and people with average hearing should be able to detect it above normal conversation at a distance of at least 2.0 miles. The circular pattern of holes will be located 24 cm from the center of a thin aluminum disk, and the motor that rotates the disk runs at 1500 rpm. (a) What even integer number of equally spaced holes will result in a sound frequency closest to the desired 710 Hz? (b) What should be the minimum sound output power of the siren in watts (W) so that people with average hearing can detect it above normal conversation at a distance of 2.0 miles from the source? You can assume that the output is isotropic, that is, it emanates like a spherical wave, and that the sound intensity of normal conversion is 3.20 x 10-6 W/m² (from Table 16.2). (a) Number (b) Number Units Units
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