Question

the equation of a transverse wave traveling in a string is given by y=a sin(k x??t)....

the equation of a transverse wave traveling in a string is given by y=a sin(k x??t). the tension in the string is 20.0 n, a = 2 mm, k = 30 rad/m, ? = 850 rad/s. what is the wave speed? what is the linear density of the string?

Homework Answers

Answer #1

Equivalent forms of wave solution:

Wave parameters:

*Amplitude A
*Wavelength ?
*Wave number k = 2?/?
*Angular frequency ? = 2?f
*Period T = 1/f
*Frequency f = 1/T
*Propagation speed v

*Wave relationship v = f?







therefore wave speed= f? = ?/ 2? 2?/k = ?/k = 28.33 m/s

and we know v =
= 28.33

=> =T/28.332 = 0.0249 Kg/m





Know the answer?
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
Similar Questions
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?
A transverse wave on a string is described by y(x, t) = (0.140 mm) sin {(5.747...
A transverse wave on a string is described by y(x, t) = (0.140 mm) sin {(5.747 rad/m)[x − (69.8 m/s)t]}. Find the wavelength of this wave. in m Find the frequency of this wave. in Hz Find the amplitude of this wave in mm Find the speed of motion of the wave in m/s Find the direction of motion of the wave. Express your answer as "+x" or "-x".
Transverse waves traveling along a string have the following properties. Amplitude of the wave = 2.30...
Transverse waves traveling along a string have the following properties. Amplitude of the wave = 2.30 mm Wavelength of the wave = 0.128 m Speed of the wave = 328 m/s a) Determine the time for a particle of the string to move through a total distance of 1.50 km. in s b) If the string is held under a tension of 982 N, determine its linear density. in g/m
The wave function for a traveling wave on a taut string is (in SI units) y(x,t)...
The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.380 sin (5πt − 4πx + π 4) (a) What are the speed and direction of travel of the wave? speed ________ m/s direction(positive-x, positive-y, positive-z, negative-x, negative-y, negative-z) (b) What is the vertical position of an element of the string at t = 0, x = 0.120 m? _______m (c) What is the wavelength of the wave? _______m (d) What is the...
a. Find the speed of a wave on a string given by y(x,t)=(3.00 mm) sin [(7.0/s)t...
a. Find the speed of a wave on a string given by y(x,t)=(3.00 mm) sin [(7.0/s)t -(4.00/m)x) ] . b. What can you do to increase the speed of the wave? c. What is the vertical speed of the string at a point located 0.2m away from the origin at time 0.3s? d. A wave given by y(x,t)=(3.00 mm) sin [(7.0/s)t -(4.00/m)x+pi/2 ] is created on another identical string. What is different and what is the same in these two...
A transverse sinusoidal wave on a string has a period T = 39.0 ms and travels...
A transverse sinusoidal wave on a string has a period T = 39.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 4.00 m/s. (a) What is the amplitude of the wave? m (b) What is the phase constant? rad (c) What is the maximum transverse speed...
1.Transverse waves are traveling on a long string that is under a tension of 7.00 N...
1.Transverse waves are traveling on a long string that is under a tension of 7.00 N . The equation describing these waves is y(x,t)=( 7.20 cm)sin[( 415 s−1)t−( 45.6 m−1)x] To what quantity does the value of 2π/(45.6 m−1) correspond? 2.Transverse waves are traveling on a long string that is under a tension of 7.00 N . The equation describing these waves is y(x,t)=( 7.20 cm)sin[( 415 s−1)t−( 45.6 m−1)x] To what quantity does the value of 2π∗415 s−1 correspond?...
If y(x,t)=(6.1mm)sin(kx+(505 rad/s)t+?) describes a wave traveling along a string, how much time does any given...
If y(x,t)=(6.1mm)sin(kx+(505 rad/s)t+?) describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y=-2.0 mm and y =+2.0mm?
A transverse sinusoidal wave is moving along a string in the positive direction of an x...
A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 93 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.0 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave?...
A sinusoidal traveling wave is described by the wave function y = 0.1 sin (4.0π x...
A sinusoidal traveling wave is described by the wave function y = 0.1 sin (4.0π x − 8.0π t) where x and y are in m and t is in s. a) At time t = 0, the bit of string at position x = 0.125 m has transverse (in the y-direction) velocity: b) transverse acceleration:
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT