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marusya05 [52]
3 years ago
14

The most soaring vocal melody is in Johann Sebastian Bach's Mass in B minor. In one section, the basses, tenors, altos, and sopr

anos carry the melody from a low D to a high A. In concert pitch, these notes are now assigned frequencies of 146.8 Hz and 880.0 Hz. (Use 343 m/s as the speed of sound, and 1.20 kg/m3 as the density of air.)
Find the wavelength of the initial note.
Physics
1 answer:
solmaris [256]3 years ago
3 0

Answer:

2.33651226158 m

Explanation:

From the question the required data is as follows

f = Frequency of the initial note = 146.8 Hz

v = Velocity of sound in air = 343 m/s

The wavelength of a wave is given by

\lambda=\dfrac{v}{f}

\Rightarrow \lambda=\dfrac{343}{146.8}

\Rightarrow \lambda=2.33651226158\ m

The wavelength of the initial note is 2.33651226158 m

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A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 7.3 mm) carries a current of 36 A distributed uniformly
Elden [556K]

Answer:

a. B= 9.45 \times10^{-3} T

b. B= 0.820 T

c. B= 0.0584 T

Explanation:

First, look at the picture to understand the problem before to solve it.

a. d1 = 1.1 mm

Here, the point is located inside the cilinder, just between the wire and the inner layer of the conductor. Therefore, we only consider the wire's current to calculate the magnetic field as follows:

To solve the equations we have to convert all units to those of the international system. (mm→m)

B=\frac{u_{0}I_{w}}{2\pi d_{1}} =\frac{52 \times4\pi \times10^{-7} }{2\pi 1.1 \times 10^{-3}} =9.45 \times10^{-3} T\\

μ0 is the constant of proportionality

μ0=4πX10^-7 N*s2/c^2

b. d2=3.6 mm

Here, the point is located in the surface of the cilinder. Therefore, we have to consider the current density of the conductor to calculate the magnetic field as follows:

J: current density

c: outer radius

b: inner radius

The cilinder's current is negative, as it goes on opposite direction than the wire's current.

J= \frac {-I_{c}}{\pi(c^{2}-b^{2}  ) }}

J=\frac{-36}{\pi(5.33\times10^{-5}-1.16\times10^{-5}) } =-274.80\times10^{3} A/m^{2}

B=\frac{u_{0}(I_{w}-JA_{s})}{2\pi d_{2} } \\A_{s}=\pi (d_{2}^{2}-b^2)=4.40\times10^{-6} m^2\\

B=\frac{6.68\times10^{-5}}{8.14\times10^{-5}} =0.820 T

c. d3=7.4 mm

Here, the point is located out of the cilinder. Therefore, we have to consider both, the conductor's current and the wire's current as follows:

B=\frac{u_{0}(I_w-I_c)}{2\pi d_3 } =\frac{2.011\times10^-5}{3.441\times10^{-4}} =0.0584 T

As we see, the magnitud of the magnetic field is greater inside the conductor, because of the density of current and the material's nature.

3 0
3 years ago
A student stands on a scale, and the scale reads 85 N. What is being measured by the scale
Dmitry [639]

Force. Force is measured by newtons, probably because he came up with the equations to calculate force.

Hope this helps!

5 0
3 years ago
B.) Write a clear, English sentence which describes a general relationship between
Lynna [10]

If a student took seven science classes, his/her at score would be 1200.

<h3>What is a graph?</h3>

A graph is a relationship in which data is presented on the axes of cartesian coordinates. The presentation of the graph must be such that it is easy to read off the graph.

Now we can see that the graph is a plot of SAT scores versus the number of science classes that students take. In this case, the slope would tell us the score per subject of a student in the SAT.

a) The mathematical model that re[resents this graph is;

y =100x + 500

b) The slope of the graph must be obtained by the use of two points thus;

m = y2 - y1/x2 - x1

m = 600 - 500/1 - 0

m = 100

c) Using the relation;

y = mx + c

m = 100

c = 500

y = 100(7) + 500

y = 1200

Thus if a student took seven science classes, his/her at score would be 1200.

Learn more about graph:brainly.com/question/16608196

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4 0
10 months ago
As you take your leisurely tour through the solar system, you come across a 1.45 kg rock that was ejected from a collision of as
nikklg [1K]

Answer:

1.3310\times 10^8 m/s is the rock's speed.

Explanation:

Momentum is defined as motion possessed by the moving body's mass. Mathematically it a product of mas and velocity of the body.

Momentum(P)=Mass(m)\times velocity(v)

Given : Mass of rock = m = 1.45 kg

Velocity of the rock = v

Momentum of the rock = P =1.93\times 10^8 kg m/s

1.93\times 10^8 kg m/s=1.45 kg\times v

v=\frac{1.93\times 10^8 kg m/s}{1.45 kg}=1.33\times 10^8 m/s

1.3310\times 10^8 m/s is the rock's speed.

6 0
3 years ago
The speed of light in a solid is 1.24 x 108 m/s. <br> Calculate the index of refraction
Dahasolnce [82]

Answer:

125

Explanation:

7 0
2 years ago
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