If a human ear canal can be thought of as resembling an organ pipe, closed at one end, that resonates at a fundamental frequency of 3 000 Hz, what is the length of the canal? Use a normal body temperature of $37 ^ { \circ } \mathrm { C }$ for your determination of the speed of sound in the canal.

An archery target is made up of three concentric circles with radii 5, 10, and 20 cm respectively. Find the probability that the arrow lands in the innermost circle.

Loudspeakers A and B are 7 m apart and vibrate in phase at 172 Hz. They radiate sound uniformly in all directions. Their acoustic power outputs are $8.00 \times 10^{-4} \mathrm{~W}$ and $6.00 \times 10^{-5} \mathrm{~W}$, respectively. The air temperature is $20^{\circ} \mathrm{C}$. Determine the difference in phase of the two signals at a point $C$ along the line joining $A$ and $B, 3.00 \mathrm{~m}$ from $B$ and $4.00 \mathrm{~m}$ from A.

Choose the equations that relate power, distance from the source, intensity, pressure amplitude, and sound intensity level.

Human hearing. The human outer ear contains a more-or-less cylindrical cavity called the auditory canal that behaves like a resonant tube to aid in the hearing process. One end terminates at the eardrum (tympanic membrane), while the other opens to the outside. Typically, this canal is approximately $2.4 \mathrm{~cm}$ long.
(a) At what frequencies would it resonate in its first two harmonics?
(b) What are the corresponding sound wavelengths in part (a)?

Multiply. $(3 m+4)\left(m^{2}-3 m+5\right)$ _____.

The ear canal, which is about $2.5 \mathrm{~cm}$ long, roughly approximates a pipe that is open at one end and closed at the other. (a) What are the resonance frequencies of the ear canal? (b) Describe the possible effect of the resonance modes of the ear canal on the threshold of hearing.

The human ear canal is approximately 2.5 cm long. It is open to the outside and is closed at the other end by the eardrum. Estimate the frequencies (in the audible range) of the standing waves in the ear canal.

The G string on a violin has a fundamental frequency of 196 Hz. It is 30.0 cm long and has a mass of 0.500 g. While this string is sounding, a nearby violinist effectively shortens the G string on her identical violin (by sliding her finger down the string) until a beat frequency of 2.00 Hz is heard between the two strings. When that occurs, what is the effective length of her string?

Two pipes of equal length are each open at one end. Each has a fundamental frequency of 480 Hz at 300 K. In one pipe the air temperature is increased to 305 K. If the two pipes are sounded together, what beat frequency results?

Solve the linear programming problems stated. Minimize and maximize $z=10 x+30 y$ subject to

$$\begin{aligned} 2 x+y & \geq 16 \\ x+y & \geq 12 \\ x+2 y & \geq 14 \\ x, y & \geq 0 \end{aligned}$$

At point $A, 3.0$ m from a small source of sound that is emitting uniformly in all directions, the sound intensity level is $53 \mathrm{~dB}$.
(b) How far from the source must you go so that the intensity is one-fourth of what it was at $A$?

At point $A, 3.0$ m from a small source of sound that is emitting uniformly in all directions, the sound intensity level is $53 \mathrm{~dB}$.
(d) Does intensity obey the inverse-square law? What about sound intensity level?

In each of the given sentences, underline the subordinate clause. Then, identify the type of clause by writing one of the following abbreviations above it: ADJ for adjective clause, ADV for adverb clause, or N for noun clause. Then, also write E over each elliptical clause.

While complaining about vacuuming the living room rug, my kid brother tripped over the cord.

An enhancement-type NMOS transistor with $V_T=2.5 \mathrm{~V}$ has its source grounded and a 4. $\mathrm{V} \mathrm{DC}$ source connected to the gate. Find the operating region of the device if a. $v_D=0.5 \mathrm{~V}$ b. $v_D=1.5 \mathrm{~V}$