1. Discuss the circular drumhead and the 2D wave equation is applicable.
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A: Here we can solve the problem with the help of some basic concepts and geometry of standing wave
1. Discuss the circular drumhead and the 2D wave equation is applicable.
2.solve the 2D wave equation on the drumhead, subject the boundary condition that the solution dont blow up at the origin and show that solutions go to zero on the edge of the drumhead.
3. show that the above boundary conditions give you standing wave patterns.
4. find pictures or better make plots of some of the standing wave patterns on the drumhead and discuss the solutions compare and contrast them with sines and cosines in rectangular case.
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- 8. Show complete solution with given. Show illustration or drawing please.Sound waves move in air at a speed of 340 m/s. You play a piano note with a frequency of 220 Hz. The sound moves through the air first, then eventually travels through your floor. a. What is the wavelength of the wave in air? Show your work. b. In your floor, the wave moves at a speed of 2000 m/s. What is the frequency and wavelength of the wave in the floor? Explain your steps show your work.5. A sound wave is produced in air, with a frequency of 200 Hz. (The speed of sound in air is around 340 m/s) a. What is the wavelength of the sound wave in air? b. If that same wave travelled underwater, its speed would be 1500 m/s. What would its new frequency be? What would its new wavelength be? C. If that same wave travelled througlh a wall, its speed would be 3400 m/s. What would its new frequency be? What would its new wavelength be?
- Two students stand x meters apart with a rope stretched between them. One student moves her hand up and down 25 times in t seconds, which causes a standing wave with n total nodes to form. 1. Sketch a picture of the standing wave that forms. n=6 2. What is the wavelength? x=5.0m 3. What is the wave frequency? t=10s 4. What is the wave period? 5. What is the speed of the traveling waves? 6. The student halves the number of times she moves her hand up and down each second. What effect does this have on each of the following? A. Wavelength B. Period C. Wave speed 7. How many times should the student move her hand up and down to create the first harmonic (i.e., the fundamental frequency)?This question has one/two/ three or all correct choice. Please choose wiselyA 245 centimeter long string is clamped at both ends and has a mass of 7.00 grams. The tension in the string is 125 N. a) what is the speed of a wave on this string? The string is plucked so that it oscillates and forms a standing wave with three antinodes. b) draw a sketch of the resulting standing wave. c) Determine the wavelength and frequency of the standing wave. please show work for a,b, and c. thank you
- A.) How many waves are pictured? Remember that 2 lobes = 1 wave. B.) State the amplitude of the waves. C.) Determine how long one wave is.A standing transverse wave is formed in a string that is 5.0 m long. Both ends of the string arefixed. Eight loops are present in the standing wave. Answer the following questions about thewave. Make sure to show all work clearly. Find the wavelength of the wave. Fully explain how you found the wavelength. If it takes a wave 0.60 s to travel the length of the string, find the speed of the wave. Find the frequency of the wave.Which of the following conditions guarantees that two overlapping waves will exhibit the property of interference? O a. The waves must have the same frequencies. O b. The waves must be sinusoidal. O c. The waves must be coherent. O d. The waves must be in phase. O e. The waves must have the same amplitudes.
- How would you represent the following problems with the given data in drawings or pictures? 4.- Calculate the speed or magnitude of the speed with which a longitudinal wave propagates with a frequency of 120 Hz/s and a wavelength of 10 m/cycle. 1.- What is the illumination produced by a 120 cd lamp on a perpendicular surface located at a distance of 2.5 cm away? 2.- A lamp in a classroom has an intensity of 250 cd, what is the illumination that it produces on a notebook, if there is a distance of 3m and an angle of 45º between them? I would be grateful for your answers :) :)2 objects are traveling toward one another, with one object making a sound and the otehr recieving the sound. A. describe what occurs to the wavelength, frequency, and wave speed as the objects get closer. B. describe what ocurrs to the wavelengths as they get further away from eachother. C. for either of the previous questions, does it matter which object is moving?Wave on a string: set wave to oscillate, end type to no end, amplitude to 1.20 cm, frequency to 2.5 hz, damping to 0,and tension to high, make sure to check the rulers and timer boxes a. Measure wavelength and period wavelength____cm, period _____s b. Calculate the frequency from the period you found in a. c. Calculate the wave speed based on your findings in a. and b. d. Assume the "high" position of the tension as 0.00008 N, calculate the linear mass density () of the string. = ___kg/m