Calculate phase speed of gravity waves propagating in the 20‐m deep ocean if the wave length...
Calculate phase speed of gravity waves propagating in the 20‐m deep ocean if the wave length is (i) 100 m; (ii) 30 m; (iii) 5 m. Which (if any) approximation do you use? How does it compare with the exact solution?
Homework Answers
Add Answer to:
Calculate phase speed of gravity waves propagating in the 20‐m
deep ocean if the wave length...
What is the period for a gravity-capillary wave of length 3 c m? Use the deep...
What is the period for a gravity-capillary wave of length 3 c m? Use the deep water approximation for capillary-gravity waves. 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
What is the phase speed (celerity) for a shallow water gravity wave of length 41 m,...
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
What is the period for a deep water gravity wave of length 10 m? Use the...
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
7. (i) The dispersion relation for surface water waves on deep water is given by w?...
7. (i) The dispersion relation for surface water waves on deep water is given by w? = gk. Show that the group velocity is Vg = g/(2w). Derive an expression relating the phase velocity Vp and the group velocity vg and hence determine if the dispersion is normal or anomalous. What are the physical significances of Vg and vp? [7 marks] Now consider a propagating wavepacket with initial length Lo. (ii) Use the bandwidth theorem to show that the minimum...
1. Describe how the speed of the waves were affected by changing the amplitude and frequency...
1. Describe how the speed of the waves were affected by changing the amplitude and frequency he an plihude and the rhency do not have ah 2. Compare the speed of the longiudinal waves to the speed of the transverse waves.Explain your answer. 3. Use data from Table 1 and Table 2 to calculate the average time it took for the wave to travel down Use this time to calculate the average speed for the traveling wave on the S...
3. The speed of light in vacuum is approximately 3 × 108 m/s. Find the wavelength...
3. The speed of light in vacuum is approximately 3 × 108 m/s. Find the wavelength of red light having a frequency of 5 x 1014 Hz. Compare this with the wavelength of a 60-Hz electromagnetic wave. 4. A youngster in a boat on a lake watches waves that seem to be an endless succession of identical crests passing with a half-second interval between each. If every disturbance takes 1.5 s to sweep straight along the length of her 4.5-m-long...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
3. The wave heights h in the open sea depend on the speed v of the wind and the length of time t ...
3. The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h(v, t) have been experimentally determined and the results are recorded in feet in the following table. Here wind speed v is measured in knots and the duration t is measured in hours h(t, v)t 5 t-10 t 15 t 20 t 30 t-40...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and f...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
7. (i) The dispersion relation for surface water waves on deep water is given by w? = gk. Show that the group velocity is Vg = g/(2w). Derive an expression relating the phase velocity Vp and the group velocity vg and hence determine if the dispersion is normal or anomalous. What are the physical significances of Vg and vp? [7 marks] Now consider a propagating wavepacket with initial length Lo. (ii) Use the bandwidth theorem to show that the minimum...
1. Describe how the speed of the waves were affected by changing the amplitude and frequency he an plihude and the rhency do not have ah 2. Compare the speed of the longiudinal waves to the speed of the transverse waves.Explain your answer. 3. Use data from Table 1 and Table 2 to calculate the average time it took for the wave to travel down Use this time to calculate the average speed for the traveling wave on the S...
3. The speed of light in vacuum is approximately 3 × 108 m/s. Find the wavelength of red light having a frequency of 5 x 1014 Hz. Compare this with the wavelength of a 60-Hz electromagnetic wave. 4. A youngster in a boat on a lake watches waves that seem to be an endless succession of identical crests passing with a half-second interval between each. If every disturbance takes 1.5 s to sweep straight along the length of her 4.5-m-long...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
3. The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h(v, t) have been experimentally determined and the results are recorded in feet in the following table. Here wind speed v is measured in knots and the duration t is measured in hours h(t, v)t 5 t-10 t 15 t 20 t 30 t-40...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
Most questions answered within 3 hours.
-
1- What are 5 general characteristics of Botticelli’s
paintings?
2- Describe 5 important traits of Flemish...
asked 1 hour ago -
A golfer claims that his average golf score at the course he
plays regularly is less...
asked 1 hour ago -
On May 1, First Bank perfected a security interest in Debtor’s
inventory. On June 1, Bob...
asked 2 hours ago -
A new kind of typhoid shot is being developed by a medical
research team. The old...
asked 4 hours ago -
Write a chemical equation for these reactions. (Use
the lowest possible whole number coefficients.) Include
states-of-matter...
asked 6 hours ago -
For each of the Z-scores below, determine two probabilities
(show four three decimal places): (1) the...
asked 6 hours ago -
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 9 hours ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 9 hours ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 9 hours ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 9 hours ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 9 hours ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 9 hours ago