Question

A sinusoidal wave is described by y(x,t)= (0.45m )sin (0.30 x – 50t+π/6), where ‘x’ and ‘y’ are in meters and ‘t’ is in seconds.(a). Find the transverse velocity and transverse acceleration expression. (b).Determine the amplitude , angular frequency, angular wave number, wavelength, wave speed and direction of the motion.?

Answer #1

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A sinusoidal traveling wave is described by the wave
function
y = 0.1 sin (4.0π x − 8.0π t)
where x and y are in m and t is in
s.
a) At time t = 0, the bit of string at position
x = 0.125 m has transverse (in the y-direction)
velocity:
b) transverse acceleration:

A transverse wave on a string is described by y(x, t) = (0.140
mm) sin {(5.747 rad/m)[x − (69.8 m/s)t]}.
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".

The function y(x,t) = 0.3 sin( 2 π t -2 π x + π /4) represents
the vertical position of an element of a taut string upon which a
transverse wave travels. This function depends on the horizontal
position along the string, x, and time, t. y and x are in units of
meters and t is in units of seconds. Do not use symbols in any of
your answers below. Only use integers or decimals.
a. Determine the angular...

A wave on a string is described by the equation
y(x, t) = 2*cos(2 π(x/4m- t /.1 s))
where x is in meters and t is in seconds.
a. Is the wave travelling to the right or to the left?
_________
b. What is the wave frequency? __________
c. What is the wavelength? ___________
d. What is the wave speed? _________
e. At t=0.50 seconds what is the displacement of the string at
x=0.20 meters. _________

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

A wave is described by y = 0.019 8 sin(kx -
ωt), where k = 2.06 rad/m, ω =
3.68 rad/s, x and y are in meters, and t
is in seconds.
(a) Determine the amplitude of the wave.
m
(b) Determine the wavelength of the wave.
m
(c) Determine the frequency of the wave.
Hz
(d) Determine the speed of the wave.
m/s

Two waves are described by
y1 = 0.24 sin[π(3x -
180t)]
and
y2 = 0.24 sin[π(3x -
180t) + π/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?

A standing wave on a string fixed at both ends is described by
y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and
time t is given in s. Answer the following questions
a) Find the two simplest travelling waves which form the above
standing wave
b) Find the amplitude, wave number, frequency, period and speed of
each wave(Include unit in the answer)
c) When the length of the string is 12 cm, calculate the distance
between the nodes...

A wave on a string has a wave function given by: y (x, t) =
(0.300m) sin [(4.35 m^-1 ) x + (1.63 s^-1 ) t] where t is expressed
in seconds and x in meters. Determine: (10 points) a) the amplitude
of the wave b) the frequency of the wave c) wavelength of the wave
d) the speed of the wave

A transverse wave on a cable is described by the function
y(x,t)=2.3cos(4.7x+12t−π/2), where distance is measured in meters
and time in seconds. If the tension in the cable is 25 N, what is
the linear mass density of the cable?

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