A wave has a height of 1.5 m in water 5 m deep and a wave period of 6 s.
Plot the horizontal component of velocity, the vertical component of acceleration,
and the dynamic pressure at a point 2 m below the still water level versus
time for a 6-s interval. Plot the three values on the same diagram and comment
on the results.
A 12 s, 1.5 m high wave in deep water shoals without refracting. Calculate the maximum horizontal velocity component and the maximum horizontal displacement from the mean position for a particle 3 m below the still water level in a. Deep Water b. Where the water depth is 5m
Determine the runup on the revetment given that the deep water wave height is 1 m and the wave period is 4 seconds. The revetment slope is 45 degrees and the water depth is 2 m.
A wave train moving from South to North has wave height 0.9 m and period 8 s. The still water depth is constant at 13 m. If a solid vertical reflective wall is now placed irn the water running East to West, plot the water particle trajectories (i.e. displacement with time) at a location 15 m to the South of the wall and 2 m below the mean free surface. You may assume perfect reflection of the wave train from...
The relationship between angular frequency and wavenumber for a deep water wave is: ?=gk???? where g is the acceleration due to gravity. If the phase velocity of a particular wave is 9.5 m/s what is the group velocity of the wave?
What is the period for a deep water gravity wave of length 10 m? Use the deep 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 seconds to the nearest thousandth
Problem 4: A 4 m-wide tank with height of 1.8 m filled with water is pulled with a cable inclined at 30° to the horizontal. The constant acceleration value in the cable direction is 4 m/s. The water depth is measured as 1.5 m before the motion starts. • Determine the angle between the water surface and the horizontal. • Compute the maximum and minimum pressure values on the bottom of the tank. • How many volume of water are...
7. A tsunami in deep water has a period of 5.7x102 s. What is its velocity? What is its wavelength? If the tsunami has a height of 2.5 m, what is its power per km of wave front?
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...
A trough is 7 meters long. 1.5 meters wide and 5 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 1.5 meters). The trough is full of water :). Find the amount of work in joules m3 required to empty the trough by pumping the water over the top. (Note: Use g = 9.8% as the acceleration due to gravity.) (density...
The above figure shows height vs. displacement plot for a string
which has a wave traveling to in the positive x direction
at time t=2.9 sec with a velocity of 30 m/sec.
1) What is the amplitude of this wave?
2) What is the wavelength of this wave?
3) What is the frequency of this wave?
4) What is the vertical (y) velocity of a piece of
string at the point labeled 1? (Ans cm/ sec)
5) What is the...