Question

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. _________

Answer #1

Hi any doubts leave a comment please so that I could resolve that one too...

THANKS

A wave on a string is described by the equation
y(x, t) = 2*cos(2 π(x/4m- t /.1 s))
where x is in meters and t is in seconds.
a. Is the wave travelling to the right or to the left?
_________
b. What is the wave frequency? __________
c. What is the wavelength? ___________
d. What is the wave speed? _________
e. At t=0.50 seconds what is the displacement of the string at
x=0.20 meters. _________

A wave on a string is described by
y(x,t)=( 4.0 cm
)×cos[2π(x/( 1.2 m )+t/( 0.30 s ))] ,
where x is in m and t is in s .
Part B
What is the wave speed? v
= m/s
Part C
What is the wave frequency? f
= Hz
Part D
What is the wave length? =
m
Part E
At t = 0.75 s , what is the displacement of the string
at x = 0.10 m ? ...

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...

A wave on a string is described by the equation y = 12 cos(1.57
x - 6.28 t). The lengths are measured in cm and time in s.
Determine; (a) the amplitude, frequency, and the time it takes for
the wave repeats itself, (b) the speed of the wave and the distance
a peak of the wave travels in 3 T + .5 s. (c) Paint a point on this
string. What length does this point move in 2.5 s.

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 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 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?

A sinusoidal wave travels down a long string. The y displacement
of the string is given at right, as a function of both x position
along the string and time t. Positions x and y are measured in
meters, t is in seconds. Find the wavelength, frequency, and period
of this waveform. y(x, t)=ysin(36.9t+2.43x)
If x is to the right, what direction is this wave traveling?
At time t = 0.0165 s, and a position x = 0.913 m, what...

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/(...

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