Question

1. On a long string, we have a wave y(t, x) = 2 sin (3x +...

1. On a long string, we have a wave
y(t, x) = 2 sin (3x + t)
(a) Find the waves amplitude, wavelength, frequency, wave number, period and
wave velocity.
(b) Which equation will solve this wave?
(c) Draw a figure (in MATLAB, script) showing snapshots of wave
by two timepoints with 1/8 period difference.
(d) Which phenomenon do we observe if we add two waves
2 sin(3x + t) + 2 sin(3x - t) ?
Draw a figure that shows a few snapshots for two optional times (in MATLAB, script).

Please show steps

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Given wave equation is: y(x,t)=2sin(3x+t The standard wave equation is, y(x,t)-Asin(kx-o)..(2) a) Comparing both (1) and (2)

Add a comment
Know the answer?
Add Answer to:
1. On a long string, we have a wave y(t, x) = 2 sin (3x +...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A wave on a string is described by y(x,t) = (0.05 m) sin [(2.0 rad/s)t –...

    A wave on a string is described by y(x,t) = (0.05 m) sin [(2.0 rad/s)t – (0.1 rad/m)x]. a) What is the amplitude of the wave?; b) in which direction does the wave propagate?; c) What is its frequency?; d) what is its wavelength?; e) what is its velocity

  • The equation describing a transverse wave on a string is y(x,t)=( 2.50mm )sin[( 168s?1 )t?( 42.1m?1...

    The equation describing a transverse wave on a string is y(x,t)=( 2.50mm )sin[( 168s?1 )t?( 42.1m?1 )x]. A. Find the wavelength of this wave. B. Find the frequency of this wave. C. Find the amplitude of this wave. D. Find the speed of motion of the wave. E. Find the direction of motion of the wave. F. Find the transverse displacement of a point on the string when t = 0.160s and at a position x = 0.140m.

  • The transverse diaplacement for a wave on a string traveling in the +x direction is y(x,t)...

    The transverse diaplacement for a wave on a string traveling in the +x direction is y(x,t) = (0.0090) sin (66.8m^-1)x-(310s^-1)t) what is it’s a) velocity b)wavelength c)frequency d)period e)amplitude (in units)

  • 8. A wave in a string has a wave function given by: y (x, t) =...

    8. A wave in a string has a wave function given by: y (x, t) = (0.0200m) sin [(6.35 m ^ -1) x + (2.63 s ^ -1) t] where t is expressed in seconds and x in meters. Determine: a) the amplitude of the wave b) the frequency of the wave c) wavelength of the wave d) the speed of the wave

  • (7 pts) A wave described by: y(x, t) 2m sin[(m)x -(st)] travels on a string a)...

    (7 pts) A wave described by: y(x, t) 2m sin[(m)x -(st)] travels on a string a) Identify the following: Amplitude - Wavelength Period b) What is the speed of this wave? c) What is the speed of the piece of string located atx 0.5m at time 3s?

  • 8. A wave in a string has a wave function given by: y (x, t) =...

    8. A wave in a string has a wave function given by: y (x, t) = (0.0200m) sin [(6.35 m^-1) x + (2.63 s^-1) t] where t is expressed in seconds and x in meters. Determine: (10 points) a) the amplitude of the wave b) the frequency of the wave c) wavelength of the wave d) the speed of the wave

  • A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds

    6. A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. (d) Determine the speed of the wave. 7. When a particular wire is vibrating with a frequency of 3.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the...

  • Two waves in the same medium are given by yix, t)3.8 sin(9.0x 3.4t) and y2(x, t)-3.8...

    Two waves in the same medium are given by yix, t)3.8 sin(9.0x 3.4t) and y2(x, t)-3.8 sin(4.5x- 1.7t) (a) In what ways do the two waves differ? (Select all that apply.) angular frequency amplitude wavelength direction of motion speed b) Find the wave that results on this string. Hnt: Recall that sin α + sin β 2 sin α + β β Use the following as necessary and t cos α (c) What is the resultant wave's amplitude? (Use the...

  • What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x +...

    What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x + (41 rad/s)t – 7/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving? 3. Amplitude 4. Angular wave number 5. Wavelength 6. Angular frequency 7. Phase angle 8. Linear frequency 9. Period 10. Velocity of wave 11. Maximum vibration speed

  • A string vibrates according to the equation 1. Y(x,t) = 10.0 cm * sin((7.00cm-')x)*cos(2.00 rad/s)t (THIS...

    A string vibrates according to the equation 1. Y(x,t) = 10.0 cm * sin((7.00cm-')x)*cos(2.00 rad/s)t (THIS IS A STANDING WAVE. What is the angular wave number? What is the wavelength? What is the speed of the 2 waves making the standing wave? What is the amplitude of the 2 waves making the standing wave? What is the distance between the nodes? What is the angular speed of the 2 waves making the standing wave? What is the period of the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT