A bugle can be represented by a cylindrical pipe of length L=1.35m. Since the en
ID: 2018240 • Letter: A
Question
A bugle can be represented by a cylindrical pipe of length L=1.35m. Since the ends are open, the standing waves produced in the bugle have antinodes at the open ends, where the air molecules move back and forth the most. Calculate the longest three wavelengths of standing waves inside the bugle. Also calculate the three most frequencies and the three longest wavelengths of the sound that is produced in the air around the bugle.In order from the longest to shortest, the longest three wavelengths of standing waves inside the bugle are:
?1,b=_____m, ?2,b=_____m, ?3,b=_____m
In order from the lowest to highest, the three lowest frequencies of the sound that is produced in the air around the bugle are:
f1=______hz, f2=______Hz, f3=______Hz
In order from longest to shortest, the three longest wavelengths of the sound produced in the air around the bugle are:
?1,a=_____m, ?2,a=_______m, ?3,a=_______m.
Explanation / Answer
Length of the cyllindrical pipe is L = 1.35m For n = 1 f_1 = n v / 2 L = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz wavelength is _1 = v / f = 343 m/s / 127 Hz = 2.69 m f_2 = n v / 2 L = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz wavelength is _2 = v / f = 343 m/s / 254 Hz = 1.35 m f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz wavelength is _3 = v / f = 343 m/s / 381.1 Hz = 0.9m b ) Lowest to highest frequencies is For n = 1 f_1 = n v / 2 L = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz f_2 = n v / 2 L = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz c ) Sound produced in air is f_1 = n v / 2 L = 1 * 331 m/s / 2 ( 1.35m) = 122.5 Hz wavelength is _1 = v / f = 331 m/s / 122.5 Hz = 2.7 m f_2 = n v / 2 L = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz wavelength is _2 = v / f = 343 m/s / 254 Hz = 1.35 m f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz wavelength is _3 = v / f = 343 m/s / 381.1 Hz = 0.9m b ) Lowest to highest frequencies is For n = 1 f_1 = n v / 2 L = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz f_2 = n v / 2 L = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz c ) Sound produced in air is f_1 = n v / 2 L = 1 * 331 m/s / 2 ( 1.35m) = 122.5 Hz wavelength is _1 = v / f = 331 m/s / 122.5 Hz = 2.7 m f_2 = n v / 2 L = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 343 m/s / 254 Hz = 1.35 m f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz wavelength is _3 = v / f = 343 m/s / 381.1 Hz = 0.9m b ) Lowest to highest frequencies is For n = 1 f_1 = n v / 2 L = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz f_2 = n v / 2 L = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz c ) Sound produced in air is f_1 = n v / 2 L = 1 * 331 m/s / 2 ( 1.35m) = 122.5 Hz wavelength is _1 = v / f = 331 m/s / 122.5 Hz = 2.7 m f_2 = n v / 2 L = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz wavelength is _3 = v / f = 343 m/s / 381.1 Hz = 0.9m b ) Lowest to highest frequencies is For n = 1 f_1 = n v / 2 L = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz f_2 = n v / 2 L = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz c ) Sound produced in air is f_1 = n v / 2 L = 1 * 331 m/s / 2 ( 1.35m) = 122.5 Hz wavelength is _1 = v / f = 331 m/s / 122.5 Hz = 2.7 m f_2 = n v / 2 L = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 343 m/s / 381.1 Hz = 0.9m b ) Lowest to highest frequencies is For n = 1 f_1 = n v / 2 L = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz = 1 * 343 m/s / 2 ( 1.35m) = 127.0 Hz f_2 = n v / 2 L = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz = 2 * 343 m/s / 2 ( 1.35m) = 254.0 Hz f_3 = n v / 2 L = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz = 3 * 343 m/s / 2 ( 1.35m) = 381.1 Hz c ) Sound produced in air is f_1 = n v / 2 L = 1 * 331 m/s / 2 ( 1.35m) = 122.5 Hz wavelength is _1 = v / f = 331 m/s / 122.5 Hz = 2.7 m f_2 = n v / 2 L = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 1 * 331 m/s / 2 ( 1.35m) = 122.5 Hz wavelength is _1 = v / f = 331 m/s / 122.5 Hz = 2.7 m = 331 m/s / 122.5 Hz = 2.7 m f_2 = n v / 2 L = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 2 * 331 m/s / 2 ( 1.35m) = 245.1 Hz wavelength is _2 = v / f = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 331 m/s / 245.1 Hz = 1.35m f_3 = n v / 2 L = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 3 * 331 m/s / 2 ( 1.35m) = 367.7 Hz wavelength is _3 = v / f = 331 m/s / 367.7 Hz = 0.89m = 331 m/s / 367.7 Hz = 0.89mRelated Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.