The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9 x - 5.8 t), where x and y are in meters and t is in seconds.
1)
What is the amplitude of this wave?
A =
m
2)
What is the wavelength of this wave?
l =
m
3)
What is the speed with which this wave travels?
|v| =
m/s
4)
In what direction is this wave propagating?
+x
-x
+y
-y
+z
-z
none of the above
Your submissions:
A
Submitted:
Monday, April 25 at 7:23 PM
Feedback:
Right answer !
5)
What is the frequency (NOT the angular frequency) of this wave?
f =
compare the given equation with
y = A*cos(k*x - w*t)
1) A = 0.05 m
2) k = 2.9
2*pi/lamda = 2.9
lamda = 2*pi/2.9
= 2.17 m
3) v = w/k
= 5.8/2.9
= 2 m/s
4) +x
5) f = w/(2*pi)
= 5.8/(2*pi)
= 0.923 Hz
The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9...
A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.3x + 17.8t) The mass density of the rope is μ = 0.107 kg/m. x and y are measured in meters and t in seconds. I'm missing 6, 7 and 8 1) What is the amplitude of the wave? 0.14m 2) What is the frequency of oscillation of the wave? 2.8334Hz 3) What is the wavelength of the wave? 2.73m 4) What is the speed of the wave? 7.74m/s...
6. Transverse waves are propagating along a stretched rope. The tension in the rope is doubled. (a) If the wavelength is to remain unaffected, by what factor should the frequency change? (b) Does this change the speed of the wave? If so, by what factor? 7. A wave described by the function below propagates in a string under a tension of 0.18 N. y(x,t) = 2.4 x 10-3 sin (36x – 270t) m where x is in meters, and t...
A transverse harmonic wave travels on a rope according to the following expression: y(x, t) = A cos(kx − ωt − φ) The mass density of the rope is μ = 0.113 kg/m. x and y are measured in meters and t in seconds. Using the graphs at of y vs t at x=0 and y vs x at t=0 shown below, answer the following questions: (a) What is the value for the wave number, k, for the expression y(x,t)?...
Asimple harmonic oscillator at the point generates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of and is stretched with a tension of 5.00 N. (a) Determine the speed of the wave. (b) Find the wavelength. (c) Write the wave function for the wave. Assume that the oscillator has its maximum upward displacement at time t=0. (d) Find the maximum...
Q1) The following equation describes a transverse wave on a string: The displacement y of a particle from its equilibrium position is given by: y 0.02 1sin (2.0x-2. 5t) Note: the phase angle is in radians, t is in seconds, x and y are in meters. Determine: a) b) c) d) The amplitude of the wave The frequency of the wave The wavelength of the wave The speed of the wave
For the following questions, consider a wave travels along a stretched horizontal rope a. The vertical distance from crest to trough for this wave is 12cm. The horizontal distance from crest to trough is 28 cm. i. What is the wavelength of this wave? ii. What is the amplitude of this wave? b. If the above wave is propagating with a speed of 120 cm/s, what is the frequency of the wave? Write an equation describing this wave. c. r(xr,...
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 frequency of the wave increases its wavelength. Increasing the amplitude of the wave increases its wavelength. 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...
The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the right. Determine the wavelength, frequency, period, and phase constant of this waveform. y(x,t)= sin(0.333x + 3.38 + 801t)
1. Travelling Waves A transverse wave travels along the length of a rope. The vertical displacement of any mass element of the rope is given by the function y(x.t) - 2sin(x+t+) in units of centimeters. Answer the following: () What is the velocity of the wave itself (indicate direction of motion as well)? (ii) Find the maximum transverse acceleration of the rope.
A transverse sine wave with an amplitude of 2.50mm and a wavelength of 1.80m travels from left to right along a long,horizontal stretched string with a speed od36.0m/s.Take the origin at the left end of the undisturbed string.At time t=0 the left end of the string has its maximum upward displacement .a) What are the frequency,angular frequency and wave number of wave?b) What is the function y(x,t) that describes the wave?c) What is y(t) for a particle at the left...