Question

On a medium that propagates waves with the
equation:

Y = 0.02 Sin (6π X - 12π t) m. Specify:

a. Amplitude, frequency, period

b. Wavelength

c. The speed of the wave propagation

Answer #1

a. Amplitude (A)= 0.02m

frequency (f) =/

f=2/(12) = 1/6 Hz =0.167Hz

period (T) =1/f = 6 sec

b. wavelegnth ()= 2/k = 2/(6) = 1/3 m = 0.333 m

c. Speed of the wave (v) = f = (1/6) *(1/3)= 1/18

v= 0.056 m/sec

In a medium, sinusoidal waves propagate with a
wavelength of 0.30 m, a frequency of 25 Hz, and an amplitude of 4
mm (assume it propagates to the right). At x = 0 m and t = 0 s, the
deviation is y = 4 mm. Determine:
a. Speed of propagation and wave period
b. The distance between two points with different phases π/
2

A longitudinal wave propagates through a medium. Which of the
following, if any, holds true?
A. Elements of the medium are displaced perpendicular to the
direction of propagation of the wave
B. The wavelength is equal to the product of the propagation
speed and the oscillation period
C. Elements of the medium are displaced back and forth along the
axis of propagation of the wave
D. The wavelength is equal to the ratio of the propagation speed
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A harmonic transverse wave function is given by
y(x, t) =
(0.800 m)sin(16.4x + 10.2t)
where all values are in the appropriate SI units. (Assume
x is in meters and t is in seconds.)
(a) What are the propagation speed and direction of the wave's
travel?
speed
m/s
direction
---Select--- +x −x +y −y +z −z
(b) What are the wave's period and wavelength?
period
s
wavelength
m
(c) What is the amplitude?
m

An electromagnetic wave in a medium is given by the following
wave function expression:
E=5E0(i-2j)sin(kx-wt).
The wave is known to have a wavelength of 690 nm and frequency of
3.2*1014 Hz. Also E0=104 V/m. For
this wave find the propagation number, angular frequency, direction
of propagation, speed of wave, index of refraction of medium,
direction of E oscillation, direction of
corresponding B oscillation, amplitude of
E, amplitude of B, and calculate
the irradiance of this wave.

7. A wave on a string has a
displacement according to the equation:
y(x,t) = 25.0 cm sin ((36.0/m)x –
(8.00/sec)t)
Determine the amplitude, frequency,
period, velocity, and wavelength of the wave. Also determine the
transverse velocity at t = 0.16 sec.

A wave on a string has a displacement
according to the equation:
y(x,t) = 25.0 cm sin ((36.0/m)x –
(8.00/sec)t)
Determine the amplitude, frequency,
period, velocity, and wavelength of the wave. Find the maximum x.
Also determine the transverse velocity at t = 0.16 sec and x's
maximum.

Two waves are described by y1 = 0.21 sin[?(9x - 190t)] and y2 =
0.21 sin[?(9x - 190t) + ?/4], where y1, y2, and x are in meters and
t is in seconds. When these two waves are combined, a traveling
wave is produced. What are the (a) amplitude, (b) wave speed, and
(c) wavelength of that traveling wave?

The electric field of a sinusoidal electromagnetic wave obeys
the equation
E=−(350V/m)sin[(5.89×1015rad/s)t+(1.96×107rad/m)x]E=−(350V/m)sin[(5.89×1015rad/s)t+(1.96×107rad/m)x].
a)what is the amplitude of the electric field of this wave?
b)what is the amplitude of the magnetic field of this wave?
c) what is the frequency of the wave?
d)what is the wavelength of the wave?
e) what is the period of the wave?
f) speed of the wave?

A certain transverse wave is described by the equation
y(x,t)= ( 7.00 mm )sin2π(t0.0360s−x0.280m).
A:Determine this wave's amplitude
B:Determine this wave's wavelength
C:Determine this wave's frequency.
D: Determine this wave's speed of propagation
E:Determine this wave's direction of propagation.

A transverse wave on a string is described by y(x, t) = (0.140
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Find the wavelength of this wave. in m
Find the frequency of this wave. in Hz Find the amplitude of
this wave in mm
Find the speed of motion of the wave in m/s
Find the direction of motion of the wave.
Express your answer as "+x" or "-x".

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