Question

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?

Answer #1

A string oscillates according to the equation
y´ = (0.370 cm) sin[(π/3.0
cm-1)x] cos[(45.4 π
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 = 1.72 cm when t =
1.12 s?

A string oscillates according to the equation
y´ = (0.369 cm) sin[(π/3.0
cm-1)x] cos[(57.6 π
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 = 1.50 cm when t =
1.30 s?

A string oscillates according to the equation y´ = (0.275 cm)
sin[(π/2.0 cm-1)x] cos[(39.6 π 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 = 1.60 cm when t = 1.03
s?

A string oscillates according to the equation
y´ = (0.158 cm) sin[(π/6.0
cm-1)x] cos[(36.1 π
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 = 1.28 cm when t =
1.47 s?
(a)
Number
Enter your answer for part (a) in accordance...

A wave on a string is described by the equation y(x,t)=3.0
cm*〖cos(〗〖2π*(x/2.4m+t/(0.2 s)))〗 . X is in meters and t is in
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 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 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.

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...

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 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

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