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

icon
Related questions
Question
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 rr2, 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 f =
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
Transcribed Image Text: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 rr2, 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 f = 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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer