Waves of amplitude η 0 = 2 m and T = 2.5 s enter Tampa Bay at a point where B = 1000 m and the depth h = 30 m. Determine the total available wave power.
Use g = 9.8 m/s^2 and ρ = 1000 kg/m^3.
Write the answer to the nearest tenth in units of: MW.
Waves of length 12 m propagate in water of depth 3 m. Determine the phase velocity AND group velocity of these waves. Ignore all interactions with the air. Phase speed is [c] m/s Use g = 9.8 m/s^2 and ρ = 1000 kg/m^3. Write the answer to the nearest tenth in units of: m/s.
A progressive wave of height η1 = 0.05 m and wave
length λ1 = 0.1 m is generated at r1 = 0.5 m
away the center of a pond with a constant water depth of h = 2 m.
As the waves propagate away from the origin (where they are
generated), they become gravity–capillary waves. The dispersion
relation of gravity-capillary waves in deep water is given as
follows:
where σ ′ = 0.073 N/m is the surface tension for air–water...
Consider a wave with a period of 22 seconds in a water depth of 2 m. What is the wave length of this wave? Use the following values for constants (if required): g = 9.81 m/s^2,ρ = 1025 Kg/m^3, σ ′ = 0.072 N/m, π ≈ 3.14. Write your answer in meters to the nearest tenth
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
What is the phase speed (celerity) for a shallow water gravity wave of length 41 m, in water depth h = 2 m? Use the shallow water approximation. Use the following values for constants (if required): g = 9.81 m/s^2,ρ = 1025 Kg/m^3, σ ′ = 0.072 N/m, π ≈ 3.14. Write your answer in m s to the nearest thousandth
2. A harmonic wave travelling to the right is described by D (x, t) = (2.5 m m) sin [(3.0 m-ı) x-(9.0 s-1) where z is measured in metres, and t is measured in seconds. The wave encounters a free-end point of reflection. The reflection and the original wave are superimposed to form a standing wave pattern. (a) What are the amplitude, speed, wavelength, and frequeney of the resulting standing wave? (b) Write the equation of the resulting standing wave....
A string vibrates according to the equation 1. Y(x,t) = 10.0 cm * sin((7.00cm-')x)*cos(2.00 rad/s)t (THIS IS A STANDING WAVE. What is the angular wave number? What is the wavelength? What is the speed of the 2 waves making the standing wave? What is the amplitude of the 2 waves making the standing wave? What is the distance between the nodes? What is the angular speed of the 2 waves making the standing wave? What is the period of the...
a probability density function (pdf) of wind speed, y, pl)that is flat from 0 mis to a cutof velocity ve m/s, Pr(v)-( and turbine power, P, as a function of the random variable v of the form 2 where n is the turbine efficiency and v, is the rated velocity such that 2 For the following, assume vc-20 m/s, η-04, ρ 122 kg/m3, A-4x104 m? and v-20 m/s-ve- (a) Calculate the mean value of the random variable defined by this...
help solve c,d,e? PLEASE SHOW ALL WORK
en Name has ier hi Problem 2 A cord has two sections, one on the left with mass density pi-225 kg/m and the other on the right with mass density p2-345 kg/m3, with both sections having the same diameter d 0.115 m. A periodic transverse wave is traveling to the right along the lighter section of the cord with a displacement function given by D(x) 0.452sin( 1.33x-1.770, as seen in the figure. Note...