Question

Two waves are traveling in opposite directions on the same string. The displacements caused by the...

Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(27.0 mm)sin(5.07πt - 1.72πx) and y2=(38.0 mm)sin(2.14πt + 0.229πx). Note that the phase angles (5.07πt - 1.72πx) and (2.14πt + 0.229πx) are in radians, t is in seconds, and x is in meters. At t = 5.90 s, what is the net displacement (in mm) of the string at (a) x = 2.30 m and (b) x = 2.99 m? Be sure to include the algebraic sign (+ or -) with your answers.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

If it is helpful , please upvote !

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following two waves are sent in opposite directions on a horizontal string so as to...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane: y1(x, t) = (6.80 mm) sin(4.80πx - 460πt) y2(x, t) = (6.80 mm) sin(4.80πx + 460πt), with x in meters and t in seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the...
Two waves moving in opposite directions produce a standing wave. The individual wave functions are: y1(x,...
Two waves moving in opposite directions produce a standing wave. The individual wave functions are: y1(x, t) = 5 sin (5x – 10t) y2(x, t) = 5 sin (5x + 10t) where x and y are in meters and t in seconds. A. What is the amplitude of the simple harmonic motion of the element of the medium located at x = 5 m? B. What is the position of the first anti-node if one end of the string is...
Two waves traveling in opposite directions on a stretched rope interfere to give the standing wave...
Two waves traveling in opposite directions on a stretched rope interfere to give the standing wave described by the following wave function: y(x,t) = 4 sin⁡(2πx) cos⁡(120πt), where, y is in centimetres, x is in meters, and t is in seconds. The rope is two meters long, L = 2 m, and is fixed at both ends. In terms of the oscillation period, T, at which of the following times would all elements on the string have a zero vertical...
These two waves travel along the same string: y1 = (4.17 mm) sin(2.24?x - 300?t), y2...
These two waves travel along the same string: y1 = (4.17 mm) sin(2.24?x - 300?t), y2 = (5.96 mm) sin(2.24?x - 300?t + 0.727?rad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.20 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude...
Four waves are to be sent along the same string, in the same direction y1(x,t) =...
Four waves are to be sent along the same string, in the same direction y1(x,t) = (2 mm) sin(2px – 200pt) y2(x,t) = (2 mm) sin(2px – 200pt + 0.7p) y3(x,t) = (2 mm) sin(2px – 200pt + p) y4(x,t) = (2 mm) sin(2px – 200pt + 3.7p) (a) For y1, what is the (a) frequency, (b) wavelength and (c) speed? When these waves are all added together, what is the (d) amplitude of the resultant wave?
A transverse wave is traveling on a string. The displacement y of a particle from its...
A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium position is given by y = (0.021 m) sin(25t - 2.0x). Note that the phase angle 25t - 2.0x is in radians, t is in seconds, and x is in meters. The linear density of the string is 2.3 × 10-2 kg/m. What is the tension in the string?
Two waves on one string are described by the wave functions y1 = 2.5 cos(4.5x −...
Two waves on one string are described by the wave functions y1 = 2.5 cos(4.5x − 1.3t) y2 = 4.5 sin(5.5x − 1.5t) where x and y are in centimeters and t is in seconds. Find the superposition of the waves y1 + y2 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...
These two waves travel along the same string: y1 = (4.37 mm) sin(2.17πx - 440πt) y2...
These two waves travel along the same string: y1 = (4.37 mm) sin(2.17πx - 440πt) y2 = (5.75 mm) sin(2.17πx - 440πt + 0.754πrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.45 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude...
These two waves travel along the same string: y1 = (3.59 mm) sin(2.23πx - 380πt) y2...
These two waves travel along the same string: y1 = (3.59 mm) sin(2.23πx - 380πt) y2 = (5.61 mm) sin(2.23πx - 380πt + 0.861πrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.21 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude...
These two waves travel along the same string: y1 = (4.14 mm) sin(2.31πx - 430πt) y2...
These two waves travel along the same string: y1 = (4.14 mm) sin(2.31πx - 430πt) y2 = (5.79 mm) sin(2.31πx - 430πt + 0.771πrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.24 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT