Question

Choose the *y*-equation for a wave traveling in the
negative *x*-direction with wavelength 50 cm , speed 3.0 m/s
, and amplitude 6.0 cm .

Choose the *y*-equation for a wave traveling in the
negative *x*-direction with wavelength 50 {\rm \;cm} , speed
3.0 {\rm \;m/s} , and amplitude 6.0 {\rm \;cm} .

1) y=( 6.0 cm
)sin(2π(x/( 50 cm )+( 6.00 s−1 )t)) |

2) y=( 6.0 cm )sin(2π( 50
cm )x−( 6.00 s−1 )t)) |

3) y=( 6.0 cm
)sin(2π(x/( 50 cm )+ t/( 6.00 s−1
))) |

4) y=( 6.0 cm )sin(2π(( 50
cm )x− t/( 6.00 s−1 ))) |

Answer #1

The general wave equation for a wave moving along the x-axis with displacement along the y-axis is given by

where A is the amplitude, is the wavelength and is the frequency of the wave. The sign is positive when the wave is moving in the negative x-direction, and negative when the wave is moving in the positive x-direction.

Given amplitude A=6cm

Wavelength

Frequency

Given the wave is moving in the negative x-direction, so the sign between the two phase terms is positive.

Therefore

Hence the correct option is (1)

The displacement of a wave traveling in the negative
y-direction is D(y,t) = ( 4.80 cm ) sin ( 6.50 y+ 60.0 t
), where y is in m and t is in s.
A. What is the frequency of this wave?
B. What is the wavelength of this wave?
C. What is the speed of this wave?

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...

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 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 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 wave on a string can be described by the following equation:
y(x,t)=9.2cos(4.2x+0.85t) where y and x are in meters and t is in
seconds.
1)
What is the speed of the wave?
0.79 m/s
1.27 m/s
0.2 m/s
4.94 m/s
0.03 m/s
2)
What is its wavelength?
0.2 m
0.67 m
7.39 m
5.34 m
1.5 m
3)
What is the acceleration of the string in the y direction at
x=1.7 m and t=7 seconds?
3.91 m/s2
7.97 m/s2...

The wave functions of two waves traveling in the same
direction are given below. The two waves have the same frequency,
wavelength, and amplitude, but they differ in their phase
constant.
y1 (x,t) = 2 sin(2πx ‒ 20πt), and
y2 (x,t) = 2 sin(2πx ‒ 20πt + φ),
a)where, y is in centimetres, x is in meters, and t is
in seconds.
Which of the following wave functions represents the
resultant wave due to the interference between the two waves:...

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 wave has the following properties: amplitude = 0.157 m, period
= 0.733 s, wave speed = 12.8 m/s. The wave is traveling in the
-x direction. What is the equation for the wave?
y= ___________
(units?)*sin (________)(units?)*t(+/- ?)(_______)(units?)*x)

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