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Q1: 3.14 As noted in Section 3.1, the power in a light beam is proportional to the square of its electric field, and the electric field for a beam traveling in an attenuating medium can be given by Eq. (3.8). The attenuation coefficient in that equation determines the loss. On the other hand, we more frequently discuss the loss in terms of decibels per kilometer.Show that the power change in dB/km and the attenuation coefficient a are related b yy = -8.685a, where a is given in the units km.See Answer
Q2: 6. In an explosion, an iron chip of 17 g mass travels at velocity of 1777 m/s. Determine the de Broglie wavelength. The speed is low enough that we can use the non-relativistic formulas.See Answer
Q3: 7. A wave propagating along the x direction according to Equation (5.18), has a maximum displacement of 4.0 cm at x = 0 and t = 0. The wave speed is 5.0 cm/s, and the wavelength is 7.0cm. (a) What is the frequency? (b) What is the wave's amplitude at x = 10 cm and t = 13 s? \Psi(x, t)=A \sin (k x-\omega t+\phi)See Answer
Q4: 1. Label (or describe) these five parts of the wave: crest, wavelength, valley, node,antinode: (5 points) See Answer
Q5: 3. Sound travels at 1540 m/s in body tissue. If an ultrasound device sends out a frequency of 12 MHz (12,000,000 Hz) what is the wavelength of these sound waves? (10 points)See Answer
Q6:3. A closed end air column of length 3.7 m is resonating to produce a sound. a) Determine the frequency of the first harmonic if the air temperature is 24.0° C b) What frequency note would you have to play next to this air column in order to hear 5 beats per second? c) If the same air column in the same medium was resonating at the 7th harmonic, determine the new frequency.See Answer
Q7:4. Jack and Jill are going to their well to get a bucket of water. Jack drops the bucket and it falls in the well. If the well is 18.0 m deep, and it takes 1.97 seconds to hear the sound of the splash from the moment he dropped the bucket, what was the air temperature on that day?See Answer
Q8:1. Consider the oscillating system shown. Determine (a) the equation of motion of the system (b) the natural frequencies of the system x. 649 [M, M = 50 kg t M₁ K₁ = 1000 N/ X (+) 소 M = 100 kg M₂ Ik-2008 k = 2000 N/ASee Answer
Q9:1. A mass-spring damper system of M = 1 kg, K = 100 N/m is subjected to an base excitation shown. Determine: (a) The equation of motion of the system (b) The response of the system (c) The Displacement Transmissibility of the system. x(+) f [₁1 M c4 1 1 k fY(+) Y(t) = 10 Sin 74 C = 14 N₁ SSee Answer
Q10:1. A spring-mass-damper system of M -0.05 Ib.s/in, K =15 Ib/in, and C=0.7 Ib.s/in is subjected to a harmonic force F(t)=30 Cos (10t) Ibf. Determine: (a) The equation of motion of the system (b) The response as function of time (c) The value of the resonance frequency (d) The transmitted force F(+) етик X(+)See Answer
Q11:Light of 600 nm wavelength in air strikes the surface of a piece of glass (n=1.57) at 45°. Setup your coordinate system so that the interface is in the x-y plane (z=0) and the plane of incidence is x-z plane (y=0), as shown in the figure (and used in class). The electric field of the incident light is in x-z plane (a p wave) with an amplitude 25 V/m. Write the wave equations for the incident, reflected and transmitted waves.See Answer
Q12:Assignment activity and guidance Activity 1 A wing spar beam is subjected to vibrations along its length, emerging from two fuel pumps situated at opposite ends of the beam. The displacement (in mm) caused by the vibrations can be modelled by the following equations, d₁ = 2.34 sin (100nt + 570 4 d₂= 3.46 sin (100mt 3 To understand the best type, size and location of fasteners to restrain the beam (for minimum ibration), you must analyse and calculate the effect of the vibrations along its length. onsidering the above displacement equations: i) State the amplitude, phase, frequency and periodic time of each of the above equations. ii) Determine how long it takes for each machine to first produce its maximum displacement (i.e. the first instance after t = 0 ms in either the positive or negative y-direction). ii) Use the compound angle formulae to expand d₁ and dz into the form a sin(100πt) ± ß cos (100nt), where a and ß are numbers to be found. -)Using your answers from the part (iii), express d₁+ d₂ in a similar form. Analytically, convert your answer from part (iv) into the equivalent form R sin(100nt + p).See Answer
Q13:Question 3 A hurricane has a maximum sustained local wind speed of U₁0 = 45 ms¹¹. a) What is the appropriate hurricane category? b) What is the deep-water significant wave height (,) and peak frequency (fp) of waves produced by the hurricane associated with U10? c) If this wind speed occurs over water h= 15 m deep, determine the dimensionless shallow water frequency hp and suggest whether we should use the JONSWAP or TMA spectrum to describe the waves generated by this storm. d) Plot the spectral energy density associated with this wind speed using the appropriate spectrum you identified in part (c). e) Using the spectrum from (d), determine the significant wave height H, at this depth of h = 15 m. h mg The figure above shows the cross-sectional elevation of a deployable flood barrier used to protect a community from coastal flooding. The barrier has length I and mass per unit width m (i.e., total mass per unit distance into the page) and is connected to a frictionless hinge at ground level. As flood waters rise, the barrier rotates about the hinge and adopts a position with angle such that hydrostatic equilibrium is achieved for a given inundation height h. a) Derive an expression for the water height has a function of m, 1, and 8. You may assume that the mass of the barrier is uniformly distributed. Assume a density of sea water p= 1025 kg/m³. b) Assuming m = 500 kg/m and I = 6 m, plot the water heighth as a function of 6 from 0 to 80°. c) For the assumptions stated in (b), what is the maximum level of inundation that can be accommodated by the barrier?See Answer
Q14:Generate a random series of 100 data points pertaining to the wave height (H) and wave period (T) for a site where the mean wave height is Hm = 2 m. The wave height should be sampled from a Rayleigh distribution with the shape parameter set to o = √2/ and the period should be sampled from a uniform distribution between 3 and 10 s. NOTE: If you are using MS Excel to generate your data points, the following commands may be used to obtain the wave heights and periods: ● ● Wave height: =2*SQRT(2/PI())*SQRT(-2*LN(RAND())). This command is equivalent to H = Hmo√ 2 In U where U is a random number between 0 and 1. Wave period: 3+7*RAND()See Answer
Q15:Q3. V ~N Square wave Sinusoidal Triangular wave Our power supply generates above three wave forms at 250 Hz with Vp=3.5 V and a DC offset 2.5 V: 1. Draw each wave form on the V-t graphs below. 2- 0- 2- 2. Determine Vave for each wave form - 2- 3. Determine Vrms for each wave form (write the math formula you used for calculation).See Answer
Q16:4) A physical quantity, y(x,t), is a function of distance x and time t, and also obeys the wave equation: a²y at² and a²y əx² c². 0. where c is a wave speed. (a) What is a general solution to this wave equation? (b) The initial conditions on the y variable is given by the functions: y(x,t=0) = cos(2x) for -π/4 <x<+/4; and y =0 for other x values. dy/dt(x,t=0) = 0. What is the wave solution, y(x,t)? Sketch y(x,t) at a few times.See Answer
Q17:(8%) Problem 1: This problem will ask about some of the basic characteristics of waves. A 50% Part (a) Which of the following are true about traveling waves? Select all that apply. Waves must have an amplitude, wavelength, and frequency. Traveling waves transport energy. Traveling waves are modeled as some sort of "disturbance" that travels away from its source. Waves must exist in a medium. Hints: 0% deduction per hint. Hints remaining: 1 Submit Hint Feedback I give up! Feedback: 0% deduction per feedback. A 50% Part (b) Which of the following are true about all mechanical traveling waves? Select all that apply. 00345 TL 116 Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 (5% per attempt) detailed view/n) Problem 1: This problem will ask about some of the basic characteristics of waves. A 50% Part (a) Which of the following are true about traveling waves? Select all that apply. A 50% Part (b) Which of the following are true about all mechanical traveling waves? Select all that apply. They must have intensity. They are created by particles that are disturbed from their equilibrium positions/state. They transfer energy. They must have an amplitude, wavelength, and frequency. Hints: 0% deduction per hint. Hints remaining: 1 Submit Hint Feedback I give up! Feedback: 0% deduction per feedback. Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 (5% per attempt) detailed viewSee Answer
Q18:Lesson 6 Wave Properties Begin Date: 2/26/2024 12:01:00 AM -- Due Date: 3/10/2024 11:59:00 PM End Date: 5/12/2024 11:59:00 PM (4%) Problem 2: A "mechanical wave" occurs in a physical medium because of some restoring force acting on the medium, and can be described by an amplitude, an oscillation, and a frequency. A You can easily decrease the wavelength of a mechanical wave by half by doubling the frequency ONLY if which of the following is true? Select all that apply. The amplitude is doubled Grade Summary The same medium is used at the same temperature Deductions. Potential The ratio between the restoring force and the density of the medium remain constant. The amplitude is reduced by 1/2 Hints: 0% deduction per hint. Hints remaining: 2 Submit Hint I give up! Feedback: 0% deduction per feedback. Feedback 0% 100% Submissions Attempts remaining: 5 (5% per attempt) detailed viewSee Answer
Q19:(4%) Problem 3: The wavelength is a fundamental property of a mechanical wave. Which of the following is true about the wavelength of a mechanical wave? It is the distance from crest to trough. Hints: 0% deduction per hint. Hints remaining: 1 It is the distance over which a vibration repeats itself. It measures the distance that the medium has travelled. It can be divided by a frequency to determine speed. Feedback I give up! Submit Hint Feedback: 0% deduction per feedback. Gra Ded Pote Sub Atte (33 detaSee Answer
Q20:(8%) Problem 4: A student observing the ocean notes that n = 7 crests break in 1 = 3.8 minutes? f= 50% Part (a) Input an expression for the frequency of the waves. Hints: 0% deduction per hint. Hints remaining: 1 n 0 60 g j P Submit 50% Part (b) What is the frequency in hertz? a a h k S Hint В d i m t ) ^^^ * 7 8 9 4 5 6 1 2 3 + - VOBACKSPACE 0 Feedback DEL. HOME END CLEAR I give up! Feedback: 0% deduction per feedback. Grade Sun Deductions Potential Submission Attempts re (5% per atte detailed vieSee Answer

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