Question

A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.7x + 17.5t) The mass density of the rope is ? = 0.147 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 tension in the rope?

At x = 3.1 m and t = 0.43 s, what is the velocity of the rope?

Answer #1

Equation of transverse harmonic wave is

Comparing it with

Ampiltude of wave is

Frequency of oscillation of the wave is

Wavelength of wave

using and

Tension in the rope

differentiating above expression w.r.t time ,

Velocity of rope at and

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...

A transverse harmonic wave travels on a rope according to the
following expression:
y(x,t) = 0.16sin(2.9x + 17.8t)
The mass density of the rope is μ = 0.141 kg/m. x and y are
measured in meters and t in seconds.
6) At x = 3.9 m and t = 0.4 s, what is the velocity of the rope?
(watch your sign)
7) At x = 3.9 m and t = 0.4 s, what is the acceleration of the
rope? (watch...

A harmonic transverse wave function is given by
y(x, t) =
(0.800 m)sin(16.4x + 10.2t)
where all values are in the appropriate SI units. (Assume
x is in meters and t is in seconds.)
(a) What are the propagation speed and direction of the wave's
travel?
speed
m/s
direction
---Select--- +x −x +y −y +z −z
(b) What are the wave's period and wavelength?
period
s
wavelength
m
(c) What is the amplitude?
m

A sinusoidal wave is described by y(x,t)= (0.45m )sin (0.30 x –
50t+π/6), where ‘x’ and ‘y’ are in meters and ‘t’ is in
seconds.(a). Find the transverse velocity and transverse
acceleration expression. (b).Determine the amplitude , angular
frequency, angular wave number, wavelength, wave speed and
direction of the motion.?

A wave traveling down a thin rope has a transverse displacement
given by y(x,t)=(4.50mm)cos(218xm^(-1)+1550ts^(-1))
The rope has a length of 1.61m and a mass of 0.00425kg.
Determine the following:
(a) amplitude of the wave,
(b) frequency of the wave,
(c) wavelength of the wave,
(d) wavespeed,
(e) direction the wave is traveling,
(f) tension inthe rope

(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,...

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 =...

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.

10. [1pt]
Consider a transverse harmonic wave travelling along a string.
Enter true (T) or false (F) for the following statements. For
example, if the first statement is true and the rest false, enter
TFF. You have 4 tries.
Increasing the amplitude of the wave increases its
frequency.
If a wave with a frequency of 10 Hz travels along a string with
a mass per unit length of 40 g/m stretched to a tension of 100 N,
its wavelength is...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 6 minutes ago

asked 18 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago