Question

Two waves on one string are described by the wave functions y,-2.0 cos(3.5x-1.9t) Y2 = 3.5 sin(4.5x-1.5t) where x and y are in centimeters and t is in seconds. Find the superposition of the waves i 2 at the following points. (Remember that the arguments of the trigonometric functions are in radians.) (a) x = 1.00, t = 1.00 cm (b) x-1.00, t = 0.500 cm (c) x = 0.500, t = 0 cm

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Two waves on one string are described by the wave functions y,-2.0 cos(3.5x-1.9t) Y2 = 3.5...
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
  • Two transverse sinusoidal waves combining in a medium are described by the wave functions V1 =...

    Two transverse sinusoidal waves combining in a medium are described by the wave functions V1 = 5.00 sin 7(x + 0.5000) Y2 = 5.00 sin 7(x - 0.500t) where x, y, and y2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. (a) x = 0.170 cm lymax) = cm (b) x = 0.400 cm lymax= cm (C) x = 1.80 cm lymax) = cm (d)...

  • Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 =...

    Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 = 1.00 sin pi (x + 0.900t) y_2 = 1.00 sin pi(x - 0.900t) where x, y_1, and y_2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. x = 0.240 cm |y max| = x = 0.340 cm |ymax| = x = 1.40 cm |ymax| = Find the three smallest...

  • 1.8 Two waves on a string are given by the following functions: yi(x, 4 cos(201 - 30x) (cm) y2(x, t)-4 cos(20t 30x) (cm...

    1.8 Two waves on a string are given by the following functions: yi(x, 4 cos(201 - 30x) (cm) y2(x, t)-4 cos(20t 30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition lyslyy2l is a maximum, and they interfere destructively when ly,l is a minimum. e rs yis.n and y2(x, t)? (b) At t-(n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of lyl? (c)...

  • Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following...

    Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following wave function, where x is in meters and t is in seconds. y = (3.00 m) sin(0.200x) cos(2006) Determine the wavelength of the interfering waves. What is the frequency of the interfering waves? Hz Find the speed of the interfering waves. m/s Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is...

  • Two sinusoidal waves combining in a medium are described by the following wave functions, where x...

    Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is in seconds. y1 = (1.0 cm) sin π(x + 0.40t) y2 = (1.0 cm) sin π(x - 0.40t) Determine the maximum transverse position of an element of the medium at the following positions. (a) x = 0.270 cm cm (b) x = 0.660 cm cm (c) x = 1.50 cm cm (d) Find the three smallest values of...

  • Two sinusoidal waves in a string are defined by the wave functions y1 = 1.60sin(16.0x −...

    Two sinusoidal waves in a string are defined by the wave functions y1 = 1.60sin(16.0x − 30.0t) y2 = 1.60sin(26.0x − 41.0t) where x, y1, and y2 are in centimeters and t is in seconds. (a) What is the phase difference between these two waves at the point x = 5.00 cm at t = 2.00 s? 164 Correct: Your answer is correct. ° (b) What is the positive x value closest to the origin for which the two phases...

  • Two sinusoidal waves combining in a medium are descri bed by the following wave functions, where...

    Two sinusoidal waves combining in a medium are descri bed by the following wave functions, where x is in centimeters and t is in seconds. (6.0 cm) sin (x +0.50t) y1 y2= (6.0 cm) sin (x 0.50t) Determine the maximum transverse position of an element of the medium at the following positions (a) x 0.260 cm cm (b) x 0.400 cm cm (c) x 1.80 cm cm (d) Find the three smallest values of x corresponding to antinodes. cm (smallest)...

  • Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x −...

    Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x − 1125t)] y2 = 4.80 sin [π(4.10x − 1125t − 0.250)] where x, y1, and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2?

  • A standing wave is described by y(x, t)-[36.5 sin(4.34x)]cos(235t), where all constants are in appropriate SI...

    A standing wave is described by y(x, t)-[36.5 sin(4.34x)]cos(235t), where all constants are in appropriate SI units. What are the wave functions for the two traveling waves that make up this standing wave? (Use the following as necessary x and t. Do not enter units in your answers.) 1 (x, t) (travels in the +x direction) y2 (x, t) = (travels in the -x direction)

  • A. Consider the wave, ? = 0.6 cos(300? − 200? − 2) where y is measured...

    A. Consider the wave, ? = 0.6 cos(300? − 200? − 2) where y is measured in centimeters, x is measured in meters, and t is measured in seconds. Determine: the wave-vector, k, the frequency, ω, in radians per second, and the speed of the wave. B. A guitar has a scale length of 25.5 inches. When properly tuned the ‘D’ string vibrates at 146.83 Hz. A particular ‘D’ string has a mass per unit length of 1.62 × 10−3...

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
ADVERTISEMENT