Transverse waves on a string have wave speed v = 8.00 m/s, amplitude A = 0.0700...

Transverse waves on a string have wave speed v = 8.00 m/s, amplitude A = 0.0700 m, and wavelength λ = 0.320 m. The waves travel in the -x direction, and at t = 0 the x =0 end of the string has its maximum upward displacement.

1) Find the frequency of these waves.

2) Find the period of these waves.

3) Find the wave number of these waves.

4) Write a wave function describing the wave. Express your answer in terms of x and t. Use π as constant.

5) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s. Express your answer in meters.

6) How much time must elapse from the instant in part E until the particle at x = 0.360 m next has maximum upward displacement? Express your answer in seconds.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320...

Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. These waves travel in the x direction, and at t = 0 the x = 0 end of the string is at y = 0 and moving downward. 1)Find the frequency of these waves. 2)Find the period of these waves. 3)Write the equation for y(x,t) describing these waves. 4)Find the transverse displacement of a point on the string at x2 = 0.200 m at...

Transverse waves on a string have wave speed v=8.00m/s, amplitude A=0.0700m, and wavelength ?=0.320m. The waves...

Transverse waves on a string have wave speed v=8.00m/s, amplitude A=0.0700m, and wavelength ?=0.320m. The waves travel in the -x direction, and at t=0 thex=0 end of the string has its maximum upward displacement. Part A Find the frequency of these waves. Part B Find the period of these waves. Part C Find the wave number of these waves. Part D Write a wave function describing the wave. Part E Find the transverse displacement of a particle at x=0.360m at...

The drawing shows a snapshot of a transverse wave moving to the left on a string. The wave speed is 10.0 m/s. At the instant the snapshot is taken,

The drawing shows a snapshot of a transverse wave moving to the left on a string. The wave speed is 10.0 m/s. At the instant the snapshot is taken, (a) In what direction is point A moving? (b) In what direction is point B moving? (c) At which of these points is the speed of the string segment (not the wave speed) larger? Explain. (d) How do your answers change if the wave moves to the right instead?

The speed of waves on a string is 97 m/s. If the frequency of standing waves...

The speed of waves on a string is 97 m/s. If the frequency of standing waves is 485Hz, how far apart are the two adjacent nodes? Two sig figs and proper units

1. The speed of the wave on your Cello string is: 90 m/s The length of...

1. The speed of the wave on your Cello string is: 90 m/s The length of your string is: 690 mm Keep in mind that the wavelength (λ), the frequency (f) and the wave speed (v) are related according to v = f λ. (a) Draw the shapes of the motion of the string for vibration that your string will produce when plucked or bowed (up to the 6th Harmonic). (Of course, a plucked or bowed string will vibrate in...

The velocity of waves on a string is 95.0 m/s. If the frequency of standing waves...

The velocity of waves on a string is 95.0 m/s. If the frequency of standing waves is 160 Hz, how far apart are two adjacent nodes? If two successive overtones of this vibrating string are 240 Hz and 320 Hz, what are the frequency of the fundamental and the length of the string?

1.A wave of amplitude 0.36 m interferes with a second wave of amplitude 0.21 m traveling...

1.A wave of amplitude 0.36 m interferes with a second wave of amplitude 0.21 m traveling in the same direction. (a) What is the largest resultant amplitude that can occur, and under what conditions will this maximum arise? ?m The two waves interfere destructively. The two waves interfere constructively. (b) What is the smallest resultant amplitude that can occur, and under what conditions will this minimum arise? ?m The two waves interfere destructively.The two waves interfere constructively. 2.On a hot...

1 The equation of a transverse wave on a string is ? = (2.0 ?) sin(20?...

1 The equation of a transverse wave on a string is ? = (2.0 ?) sin(20? − 600?). What is the wave speed of the wave and the linear density of the string if it has a tension of 15 ?? 2 A block is in simple harmonic motion on the end of a spring with its position given by ?(?) = ? cos(?? + ?). If ? = ?/5 ???, then at ? = 0 ? what percentage of...

A transverse traveling wave on a taut wire has an amplitude of0.200 mm and a frequency...

A transverse traveling wave on a taut wire has an amplitude of0.200 mm and a frequency of 530 Hz. Ittravels with a speed of 196 m/s. (a) If the wave equation is written in the formy = A sin(kx - ωt), whatare the parameters A, k, andω? 1 m 2 rad/m 3 rad/s (b) The mass per unit length of this wire is 3.50 g/m. Find the tension in the wire. 4 N

A transverse traveling wave on a taut copper wire has an amplitude of 0.200 mm and...

A transverse traveling wave on a taut copper wire has an amplitude of 0.200 mm and a frequency of 500 Hz. It travels with a speed of 100 m/s. (a) Write an equation in SI units of the form y = A sin (kx − ωt) for this wave. (Do not forget units in your answer.) (b)Find the transverse velocity of the wire at the position x=0.500m at time t=1.00×10-3 s. (c) The diameter of the wire is 1.00 mm,...

Subjects