Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation below. Hints: • The correct answer is between 150 and 200 hertz. Double-check your calculations if your answer does not fall in this range. • You will need to convert units in order to solve this problem. • The area of a circle is calculated using the equation ru2, where r is the radius of the circle. The radius is half the diameter. • The volume of a rectangular box is: width X height X depth. а. When you consider the number of sig figs provided in the problem, how many significant digits should your final answer contain? significant figures b. Resonant frequency ƒ = Hz D = 21.5 mm A = Area of opening A f = 2n V × (L + 0.8D) L = 2.30 cm - V = Volume of rectangular cavity > f = frequency, in hertz > v = 343 meters/second (speed of sound in air) > A = area of opening, in m² > V = volume of cavity, in m³ > L = length of neck, in m > D = diameter of neck, in m Cavity height = 9.10 cm Cavity depth 8.50 cm Cavity width = 11.0 cm
Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation below. Hints: • The correct answer is between 150 and 200 hertz. Double-check your calculations if your answer does not fall in this range. • You will need to convert units in order to solve this problem. • The area of a circle is calculated using the equation ru2, where r is the radius of the circle. The radius is half the diameter. • The volume of a rectangular box is: width X height X depth. а. When you consider the number of sig figs provided in the problem, how many significant digits should your final answer contain? significant figures b. Resonant frequency ƒ = Hz D = 21.5 mm A = Area of opening A f = 2n V × (L + 0.8D) L = 2.30 cm - V = Volume of rectangular cavity > f = frequency, in hertz > v = 343 meters/second (speed of sound in air) > A = area of opening, in m² > V = volume of cavity, in m³ > L = length of neck, in m > D = diameter of neck, in m Cavity height = 9.10 cm Cavity depth 8.50 cm Cavity width = 11.0 cm
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