Question

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.

Answer #1

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.

The equation of a transverse wave traveling along a very long
string is y = 4.60 sin(0.0684πx+ 2.07πt), where x and y are
expressed in centimeters and t is in seconds. Determine (a) the
amplitude, (b) the wavelength, (c) the frequency, (d) the speed,
(e) the direction of propagation of the wave and (f) the maximum
transverse speed of a particle in the string. (g) What is the
transverse displacement at x = 8.64 cm when t = 0.375 s?

A wave on a string is described by the equation y(x,t)=3.0
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seconds.
Is the wave travelling to the right or to the left?
_________
What is the wave speed? _________
What is the wave frequency? __________
What is the wavelength? ___________
At t=0.50 seconds what is the displacement of the string at
x=0.20 meters. _________

A transverse sinusoidal wave is moving along a string in the
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cm from its equilibrium position and is not moving. The maximum
transverse speed of the string particle at x = 0 is 16 m/s. (a)
What is the frequency of the wave? (b) What is the wavelength of
the wave?...

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 sinusoidal wave is moving along a string in the
positive direction of an x-axis with a speed of 89 m/s. At t = 0,
the string particle at x = 0 has a transverse displacement of 4.0
cm from its equilibrium position and is not moving. The maximum
transverse speed of the string particle at x = 0 is 18 m/s. (a)
What is the frequency of the wave? (b) What is the wavelength of
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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".

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.?

The wave function for a traveling wave on a taut string is (in
SI units) y(x,t) = 0.380 sin (5πt − 4πx + π 4)
(a) What are the speed and direction of travel of the wave?
speed
________ m/s direction(positive-x, positive-y, positive-z,
negative-x, negative-y, negative-z)
(b) What is the vertical position of an element of the string at
t = 0, x = 0.120 m?
_______m
(c) What is the wavelength of the wave?
_______m
(d) What is the...

A string oscillates according to the equation
y´ = (0.472 cm) sin[(?/3.0 cm-1)x] cos[(43.4 ? s-1)t].
What are the (a) amplitude and (b) speed of the two waves
(identical except for direction of travel) whose superposition
gives this oscillation? (c) What is the distance between nodes? (d)
What is the transverse speed of a particle of the string at the
position x = 1.55 cm when t = 1.31 s?

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