Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation on the previous page. Show all your work. For full credit, you must include units beside every number in all your calculations. 2.2 cm 25 mm A = Area of a circle whose diameter is 2.2 cm (the equation for the area of a circle is A = Tr², where r is half the diameter) • Cavity volume, V, is the volume of cylinder with height of 8.0 inches and diameter of 3.0 inches. The equation for the volume of a cylinder is TR?h, where R is half the diameter, and h is the height of the cylinder. • Length of neck, L, = 25 mm Diameter of neck, D, = 2.2 cm 3.0 inches Hint: Be sure to convert your units to meters, meters?, and meters before inserting them into the Helmholtz equation. A f ert 8.0 inches

Using the measurements provided below, calculate the Helmholtz resonance frequency, f, in hertz (Hz). Use the Helmholtz resonance equation on the previous page. Show all your work. For full credit, you must include units beside every number in all your calculations. 2.2 cm 25 mm A = Area of a circle whose diameter is 2.2 cm (the equation for the area of a circle is A = Tr², where r is half the diameter) • Cavity volume, V, is the volume of cylinder with height of 8.0 inches and diameter of 3.0 inches. The equation for the volume of a cylinder is TR?h, where R is half the diameter, and h is the height of the cylinder. • Length of neck, L, = 25 mm Diameter of neck, D, = 2.2 cm 3.0 inches Hint: Be sure to convert your units to meters, meters?, and meters before inserting them into the Helmholtz equation. A f ert 8.0 inches

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Please show all convertion like the image atached just for example.
Helmholtz resonance calc.
Using the measurements provided below, calculate the Helmholtz resonance
frequency, f, in hertz (Hz). Use the Helmholtz resonance equation on the
previous page. Show all your work. For full credit, you must include units
beside every number in all your calculations.
2.2 cm
25 mm
A = Area of a circle whose diameter is 2.2 cm (the equation for
the area of a circle is A = rr², where r is half the diameter)
Cavity volume, V, is the volume of cylinder with height of 8.0
inches and diameter of 3.0 inches. The equation for the
volume of a cylinder is TR?h, where R is half the diameter, and
h is the height of the cylinder.
• Length of neck, L, = 25 mm
%3D
3.0 inches
Diameter of neck, D, = 2.2 cm
Hint: Be sure to convert your units to meters, meters?, and meters3
before inserting them into the Helmholtz equation.
" 2x V x (L + 0.8D)
f- frequency, in hertz
v34) meteru/second (speed of sound in air)
Aarea of opening in
Vvolume of round cavity, in m
Llength of neck, inm
Ddameter of neck, inm
8.0 inches

A
f =
2п , Vx (L + 0.8D)
f = frequency, in hertz
v = 343 meters/second (speed of sound in air)
A = area of opening, in m2
V = volume of round cavity, in m³3
L = length of neck, in m
D = diameter of neck, in m

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