Question

A transverse wave on a string is described by y(x, t) = (0.420 mm) sin {(2.847 rad/m)[x − (66.0 m/s)t]}. What is the maximum transverse speed of a point on the string? Answer is in mm/s

Answer #1

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 equation of a transverse wave traveling in a string is given
by y=a sin(k x??t). the tension in the string is 20.0 n, a = 2 mm,
k = 30 rad/m, ? = 850 rad/s. what is the wave speed? what is the
linear density of the string?

a. Find the speed of a wave on a string given by y(x,t)=(3.00
mm) sin [(7.0/s)t -(4.00/m)x) ]
. b. What can you do to increase the speed of the wave?
c. What is the vertical speed of the string at a point located
0.2m away from the origin at time 0.3s?
d. A wave given by y(x,t)=(3.00 mm) sin [(7.0/s)t
-(4.00/m)x+pi/2 ] is created on another identical string. What is
different and what is the same in these two...

A transverse wave on a string is described by the displacement
function
D(x,t)=(0.1 m)sin(2πx+6πt)
where x is in metres and t is in seconds.
a.) What is the transverse velocity of the segment at x=0.7 m at
t=3 s? _____m/s
b.) What is the transverse acceleration of the segment at x=0.7
m at t=3 s? ________ m/s^2

A transverse sinusoidal wave on a string has a period T = 39.0
ms and travels in the negative x direction with a speed of 30.0
m/s. At t = 0, a particle on the string at x = 0 has a transverse
position of 2.00 cm and is traveling downward with a speed of 4.00
m/s.
(a) What is the amplitude of the wave? m
(b) What is the phase constant? rad
(c) What is the maximum transverse speed...

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:

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 transverse sinusoidal wave is moving along a string in the
positive direction of an x axis with a speed of 93 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 16 m/s. (a)
What is the frequency of the wave? (b) What is the wavelength 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
the wave? If...

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?

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