25. A wave has the following properties: amplitude = 0.37 m, pe- riod = 0.77 s, wave speed = 12 m/s. The wave is traveling in the -x direction. What is the mathematical expression (similar to Equation 16.3 or 16.4) for the wave?
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- Assume that your eye acts as a diffraction limited telescope with a round primary aperture of diameter D = 4.50 mm . Two lights are arranged to be perpendicular to your line 1. 20.0cm (assuming Rayleigh's criterion): of sight with a separation of s = If the lights emit at 1, = 630 nm what is the furthest distance that we will see them as two а. separate lights, d? b. If the lights emit at 1, = 440 nm what is the furthest distance that we will see them as two separate lights, d;?A string vibrates according to the equation y(x,t)=(0.56cm)sin(πx/3)cos(40πt), where x is in cm and t is in seconds. a) Write out the equations that upon combination will generate the wave described above. Be sure to illustrate where these equations originate from. b) What is the amplitude of the component waves? c) What is the speed of the component waves? d) What is the distance between nodes? e) Find the velocity of a particle of the string at the position x = 8 cm and t = 1.3 seconds.A transverse sine wave is moving in the positive x direstion along a string stretched on the x axis. The wave has frequency 440 Hz and wavelength 0.341 m. The string has linear density 0.0032 kg/m. The amplitude in the y direction is 0.006 m. a. Find the velocity of the wave. b. Find the tension in the string. c. Find the maximum velocity of a small section of the string. d. Find the maximum acceleration of a small section of the string.
- A piano string has a length of 2 m and a mass of 0.06 kg. a) What is the linear density of the string? b)What is the velocity of the resulting wave when the string is struck if the tension is 500 N? c) What is the fundamental frequency of string?SI Session 2 Define Period (T): Frequency (f): A buoy bobs up and back down in 2.4 seconds. The buoy makes it 0.2 meters away in 7 seconds. What is the period? What is the frequency? What is the velocity? What is the wavelength? What is the difference between longitudinal and transverse waves? Circle the correct answer. Light is a transverse / longitudinal wave. Sound is a transverse / longitudinal wave. The wave below is traveling at 3 m/s. What are both the space and time functions of the wave below?a) A standing wave is set up on a string of length 4.15 m as shown below. What is the wavelength of the standing wave? Number m b) Travelling waves are moving down a string of linear mass density 6 x103 kg/m which is under 700 N of tension. What is the speed of the waves? Number m/s c) A standing wave with 6 antinodes is excited in a string of length 3 m where the wave speed is 103 m/s. What is the frequency of oscillations on the string? Number hz
- The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: a. wave period! b. the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection! c. the distance between two consecutive stomachs!2. A very narrow slit of width a = 2.50µm is illuminated with light of wavelength 1 = 540.0 nm and a diffraction pattern is observed on a screen D=1.25 m from the slit. At the screen, how far from the optical axis, y2 , is the second minimum that appears on а. either side of the central maximum? b. At the screen, how far from the optical axis, ymax is the furthest minimum that appears on either side of the central maximum?The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: a. wave period!
- What is the phase constant, maximum speed of particle & sign of wave direction?A tranverse wave in a medium wave is described by the following equation: y(x,t) = (12 m)cos(3.0x - 120t). What is the speed of this wave? (x and y describe real space with units of meters, and t is time in seconds.) a. 30 m/s b. 50 m/s c. 60 m/s d. 70 m/s e. 40 m/sConsider a 1 meter-long string with a mass of 50 g attached to a string vibrator. The tension in the string is 80 N. When the string vibrator is turned on, it oscillates with a frequency of 64 Hz and produces a sinusoidal wave on the string with an amplitude of 4 cm and a constant wave speed. Give your answers to 3 sig fig. A)VWhat is the linear density of the medium?____kg/m B)What is the wave speed?____m/s C)What is the angular frequency?______Hz D) What is the time-averaged power supplied to the wave by the string vibrator?___W