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Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation below. Show all your work. For full credit, you must include units beside every number in all your calculations. A f 2n V × (L + 0.8D) f = frequency, in hertz v = 343 meters/second (speed of sound in air) V A = area of opening, in m2 V = volume of round cavity, in m3 L = length of neck, in m D = diameter of neck, in m 1. Dimensions of Helmholtz resonator: A = Area of a circle whose diameter is 2.1 cm (the equation for the area of a circle is A = tr?, where r is half the diameter) Cavity volume, V, = 1 liter. Note that there are 1000 liters in 1 cubic meter (1000 L = 1 m³) Length of neck, L, = 23 mm Diameter of neck, D, = 2.1 cm Hint: Be sure to convert your units to meters, meters?, and meters before inserting them into the Helmholtz equation.

Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation below. Show all your work. For full credit, you must include units beside every number in all your calculations. A f 2n V × (L + 0.8D) f = frequency, in hertz v = 343 meters/second (speed of sound in air) V A = area of opening, in m2 V = volume of round cavity, in m3 L = length of neck, in m D = diameter of neck, in m 1. Dimensions of Helmholtz resonator: A = Area of a circle whose diameter is 2.1 cm (the equation for the area of a circle is A = tr?, where r is half the diameter) Cavity volume, V, = 1 liter. Note that there are 1000 liters in 1 cubic meter (1000 L = 1 m³) Length of neck, L, = 23 mm Diameter of neck, D, = 2.1 cm Hint: Be sure to convert your units to meters, meters?, and meters before inserting them into the Helmholtz equation.

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Please show all convertion like the image atached just for example.

Helmholtz resonance calc.

Result will be between 150 hertz and 200 hertz.

(): ( :) =_ 12 inches 2.54 ст 1 m Example: 3.0 feet/s x 0.28_ m/s 1 foot 1 inch 100 ст
Transcribed Image Text:(): ( :) =_ 12 inches 2.54 ст 1 m Example: 3.0 feet/s x 0.28_ m/s 1 foot 1 inch 100 ст
Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation below. Show all your work. For full credit, you must include units beside every number in all your calculations. A А f 2п. Vx (L + 0.8D) f = frequency, in hertz v = 343 meters/second (speed of sound in air) V A = area of opening, in m? V = volume of round cavity, in m3 L = length of neck, in m D = diameter of neck, in m %D 1. Dimensions of Helmholtz resonator: • A = Area of a circle whose diameter is 2.1 cm (the equation for the area of a circle is A = Tr?, where r is half the diameter) • Cavity volume, V, = 1 liter. Note that there are 1000 liters in 1 cubic meter (1000 L = 1 m3) %3D Length of neck, L, = 23 mm Diameter of neck, D, = 2.1 cm Hint: Be sure to convert your units to meters, meters?, and meters before inserting them into the Helmholtz equation.
Transcribed Image Text:Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation below. Show all your work. For full credit, you must include units beside every number in all your calculations. A А f 2п. Vx (L + 0.8D) f = frequency, in hertz v = 343 meters/second (speed of sound in air) V A = area of opening, in m? V = volume of round cavity, in m3 L = length of neck, in m D = diameter of neck, in m %D 1. Dimensions of Helmholtz resonator: • A = Area of a circle whose diameter is 2.1 cm (the equation for the area of a circle is A = Tr?, where r is half the diameter) • Cavity volume, V, = 1 liter. Note that there are 1000 liters in 1 cubic meter (1000 L = 1 m3) %3D Length of neck, L, = 23 mm Diameter of neck, D, = 2.1 cm Hint: Be sure to convert your units to meters, meters?, and meters before inserting them into the Helmholtz equation.
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