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Bogdan [553]
3 years ago
6

A speaker is designed for wide dispersion for a high frequency sound. What should the diameter of the circular opening be for a

speaker where the desired diffraction angle is 11° and a 9100 Hz sound is generated? The speed of sound is 343 m/s.
Physics
1 answer:
andriy [413]3 years ago
6 0

To solve this problem we will apply the concepts related to wavelength, as well as Rayleigh's Criterion or Optical resolution, the optical limit due to diffraction can be calculated empirically from the following relationship,

sin\theta = 1.22\frac{\lambda}{d}

Here,

\lambda = Wavelength

d= Diameter of aperture

\theta = Angular resolution or diffraction angle

Our values are given as,

\theta = 11\°

The frequency of the sound is f = 9100 Hz

The speed of the sound is v = 343 m/s

The wavelength of the sound is

\lambda = \frac{v}{f}

Here,

v = Velocity of the wave

f = Frequency

Replacing,

\lambda = \frac{(343 m/s)}{(9100 Hz)}

\lambda = 0.0377 m

The diffraction condition is then,

sin\theta = 1.22\frac{\lambda}{d}

Replacing,

sin(11\°) = 1.22\frac{(0.0377 m)}{(d)}

d = 0.24 m

Therefore the diameter should be 0.24m

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A tire measures 20 inches in diameter. How many revolutions will the tire have completed when it has traveled 100 yards? Express
Soloha48 [4]
<h2>Number of revolutions required to travel 100 yards is 57.</h2>

Explanation:

Diameter of tire,D = 20 inches

Perimeter of tire = πD

Perimeter of tire = π x 20 = 62.8 inches

Distance traveled = 100 yards

1 yard = 36 inches

Distance traveled = 100 x 36 = 3600 inches

In one revolution it travels 62.8 inches.

\texttt{No of revolutions = }\frac{3600}{62.8}\\\\\texttt{No of revolutions = }57.32\\\\\texttt{No of revolutions = }57

Number of revolutions required to travel 100 yards is 57.

8 0
3 years ago
Calculate the value of δs when 64.0 g of ga(l) solidifies at 29.8 ∘c.
frez [133]
The variation of entropy of a substance is given by
\delta S =  \frac{\delta Q}{T} (1)
where
\delta Q is the heat exchanged in the process
T is the absolute temperature at which the transformation occurs.

The process in the problem is the solidification of the liquid Gallium, which releases an amount of heat equal to:
\delta Q = m L_f
where m is the mass of the substance and L_f = 80.1 J/g is the latent heat of fusion of Gallium. Using m=64.0 g, we find
\delta Q= m L_f = (64.0 g)(80.1 J/g)=-5126.4 J
where the negative sign means the Gallium is releasing heat to the environment.

Now we can use equation (1) to find the variation of entropy, but first we need to convert the temperature into Kelvin:
T=29.8^{\circ} + 273.15 = 302.95 K

And so the variation of entropy is 
\delta S =  \frac{\delta Q}{T}= \frac{-5126.4 J}{302.95 K}=-16.92 J
and the negative sign means the entropy in the process is decreasing.

7 0
4 years ago
Convert a density of 0.0045kg/cm3 to kg/m3
Alex

Answer:

4 500 kg/m3

Explanation:

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6 0
3 years ago
The reason a penny thrown straight up inside a bus will come back to your hand is that you, the bus, the air inside the bus, and
Mkey [24]

Answer:

its false

Explanation:

since the penny is thrown straight up its not going to move forwad with you and the bus since it has no forces pushing on it. If the bus wasn't moving it would land back on your hand

8 0
3 years ago
If the current in each wire is the same, which wire produces the strongest magnetic field?
lions [1.4K]

Answer: option 4: A wire that is 2-mm thick and coiled.

Explanation:

The current in each wire is same. The magnetic field due to a current carrying wire increases if the wire is coiled with the more number of turns. A thick wire would cause low resistance to the current. Hence, a 2-mm thick wire which is coiled would produce the strongest magnetic field.

3 0
4 years ago
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