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2 years ago

A sinusoidal sound wave moves through a medium and is described by the displacement wave function

1 answer:

4 0

By applying the wave equation we know that the maximum speed of the element's oscillatory motion is 1716 micrometer / s.

We need to know about wave equations to solve this problem. The displacement of the wave on the y-axis can be explained by the wave equation

y = A cos (kx - ωt)

where y is y-axis displacement, A is amplitude, k is wave number, x is x-axis displacement, ω is angular speed and t is time.

the wavenumber and angular speed of the wave equation can be determined respectively by

k = 2π / λ

ω = 2πf

where k is the wavenumber, λ is wavelength and f is frequency.

From the question above, we know that:

y = 2.00cos (15.7x - 858t)

v = dy / dt

v = d(2.00cos (15.7x - 858t)) / dt

v = -858 x (-2.00sin(15.7x - 858t))

v = 1716 sin(15.7x - 858t) micrometer/s

maximum velocity can be reached when (sinθ = 1), hence

v = 1716 sin(15.7x - 858t)

v = 1716 x 1

v = 1716 micrometer / s

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You might be interested in

A ball is thrown straight down with a speed of Va2.00 from a building 40.00 meters high. How much S time passes before the ball

-Dominant- [34]

Answer:

Option C is the correct answer.

Explanation:

Considering vertical motion of ball:-

Initial velocity, u = 2 m/s

Acceleration , a = 9.81 m/s²

Displacement, s = 40 m

We have equation of motion s= ut + 0.5 at²

Substituting

s= ut + 0.5 at²

40 = 2 x t + 0.5 x 9.81 x t²

4.9t² + 2t - 40 = 0

t = 2.66 s or t = -3.06 s

So, time is 2.66 s.

Option C is the correct answer.

6 0

3 years ago

Can anybody help me please?

vovangra [49]

Answer:

1,2,5

Explanation:

7 0

3 years ago

The imidazole side chain of histidine has a pka of 6.04. illustrate the predominant structures for histidine at (i) ph 4, (ii) p

Advocard [28]

The histidine imidazole side chain has a pka of 6.04. To illustrate the predominant structures for histidine at (i) ph 4, (ii) ph 8, and (iii) ph 12, we have the pictures attached below. The first one indicates structure at ph 4, second one indicates ph 8 and third indicates ph 12.

<h3>What is stereochemistry? </h3>

The study of stereochemistry is focused on stereoisomers, which by definition have the same molecular formula and sequence of bonded atoms (constitution) but differ in the three-dimensional orientations of their atoms in space.

Stereochemistry is a subfield of chemistry that deals with the relative spatial arrangement of atoms that form the structure of molecules and their manipulation. Because the prefix “stereo- “denotes “three-dimensionality,” it is also referred to as “3D chemistry.”

One crucial area of stereochemistry is the study of chiral molecules. Stereochemistry covers the entire range of organic, inorganic, biological, physical, and particularly supramolecular chemistry.

The study of stereochemistry involves techniques for identifying and describing these interactions, as well as the impact these relationships have on the physical or biological characteristics of the molecules in question.

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