Question

2-A wave travels a taut string in the positive direction of the x axis. Its wavelength is 40 cm and its speed of propagation by the rope is 80 m / s. The amplitude of the wave is 0.60 cm. At t = 0 the point of the chord at x = 0 is at the point of maximum amplitude of oscillation, y = + A. a) Write the equation of the wave in the form of sine [y = A sin (kx ± ωt + φ)], identifying numerically each parameter. b) What oscillation speed on the y axis has the point of the chord at x = 0 at time t = 0.0010 s? c) If the linear density of the rope is 12 g / m, what is the tension in the rope?

Answer #1

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A wave travels along a taut string in the positive x-axis
direction. Its wavelength is 40 cm and its speed of propagation
through the string is 80 m / s. The amplitude of the wave is 0.60
cm. At t = 0 the point of the chord at x = 0 is at the point of
maximum oscillation amplitude, y = + A.
a) Write the equation of the wave in the form of sine [y = A sin
(kx...

A wave travels along a taut string in the positive x-axis
direction. Its wavelength is 40 cm and its speed of propagation
through the string is 80 m / s. The amplitude of the wave is 0.60
cm. At t = 0 the point of the chord at x = 0 is at the point of
maximum oscillation amplitude, y = + A.
a) Write the equation of the wave in the form of sine [y = A sin
(kx...

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 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 transverse sinusoidal wave on a string has a period T
= 15.0 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?
(b) What is the phase constant?
(c) What is the maximum transverse speed of the...

A transverse sinusoidal wave on a string has a period T
= 35.0 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 3.50 m/s.
(a) What is the amplitude of the wave?
(b) What is the phase constant?
(c) What is the maximum transverse speed of the...

A transverse harmonic wave travels on a rope according to the
following expression:y(x,t) = 0.15sin(2.9x + 17.2t) The mass
density of the rope is μ = 0.121 kg/m. x and y are measured in
meters and t in seconds.
What is the amplitude of the wave? What is the frequency of
oscillation of the wave? What is the wavelength of the wave? What
is the speed of the wave? What is the tension in the rope? At x =
3.1...

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 on a string has a period T
= 21.0 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 2.50 m/s.
(a) What is the amplitude of the wave?
0.0217
Your response differs from the correct answer by more than 10%.
Double check your...

Two waves traveling in opposite directions on a stretched rope
interfere to give the standing wave described by the following wave
function:
y(x,t) = 4 sin(2πx) cos(120πt),
where, y is in centimetres, x is in meters, and t is in seconds.
The rope is two meters long, L = 2 m, and is fixed at both
ends.
In terms of the oscillation period, T, at which of the following
times would all elements on the string have a zero vertical...

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