Question

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 ± ωt + φ)], numerically identifying each parameter.

b) What oscillation speed on the y axis does the point of the chord
have 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...

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 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...

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...

Simple harmonic wave, with phase velocity of 141ms^-1, propagates
in the positive x-direction along a taut string that has a linear
mass density of 5gm^-1. The maximum amplitude of the wave is 5cm
and the wavelength is 75cm.
a) determine the frequency of the wave
b) write the wave function down the amplitude at time t = 0
and x = 0 is 2.5 cm.
c) calculate the maximum magnitude of the transverse velocity
(of a particle on the string)....

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...

(1A) A transverse sinusoidal wave travels along a string with a
constant speed 10 m/s. The acceleration of a small lump of mass on
the string (a) varies sinusoidally in time in a direction
perpendicular to the string, (b) varies sinusoidally in time in a
direction parallel to the string, (c) is 10 m/s 2 , (d) is
zero.
(1B) In a periodic transverse wave on a string the value of the
wave speed depends on (a) amplitude, (b) wavelength,...

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