Question

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

Answer #1

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 given by the formula
D(x,t)=0.11sin(3.3x?18.0t),
where D and x are in m and t is in
s.
a) At t=0.17s, what is the transverse displacement of
the point on the string where x=0.54m? Important hint:
Does it matter whether your calculator is set to degrees or radians
(deg or rad) for this problem? If yes, which setting should you
use?
b) At t=0.17s, what is the (transverse) velocity of the
point on the...

A wave on a string is described by D(x,t)=(4.0cm)×
sin[2π(x/(4.8m)+t/(0.26s)+1)], where x is in m and t is in s.
Part A
What is the wave speed?
Part B
What is the frequency?
Part C
What is the wave number?
Part D
At t=0.65s, what is the displacement of the string at
x=5.2m?

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

A transverse wave on a string is given by the formula
D(x,t)=0.11sin(3.3x?18.0t),
where D and x are in m and t is in
s.
a) At t=0.17s, what is the transverse displacement of
the point on the string where x=0.54m? Important hint:
Does it matter whether your calculator is set to degrees or radians
(deg or rad) for this problem? If yes, which setting should you
use? Express your answer using two significant figures.
D(0.54m,0.17s) =
b) At t=0.17s, what...

A wave on a string is described by
D(x,t)=(2.4cm)×
sin[2π(x/(4.8m)+t/(0.22s)+1)], where
x is in m and t is in s.
A.) In what direction is this wave traveling?
B.) What is the wave speed? _ m/s

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.?

A transverse wave is traveling on a string. The displacement
y of a particle from its equilibrium position is given by
y = (0.021 m) sin(25t - 2.0x). Note that
the phase angle 25t - 2.0x is in radians,
t is in seconds, and x is in meters. The linear
density of the string is 2.3 × 10-2 kg/m. What is the
tension in the string?

A transverse wave is traveling on a string. The displacement
y of a particle from its equilibrium position is given by
y = (0.021 m) sin(25t - 2.0x). Note that
the phase angle 25t - 2.0x is in radians,
t is in seconds, and x is in meters. The linear
density of the string is 2.0 × 10-2 kg/m. What is the
tension in the string?

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