Homework Answers
euation for a wave is given by ,
where v is velocity, f is frequency and
is the
wavelength of the wave. If we dip oru finger at lower rate, we are
decreasing the frequency. Frequency and wavelegth are inversely
propotional so the wavelength will increase. Option c is
correct.
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If you dip your finger repeatedly into a surface of still water, you create waves. If...
Capillary waves are waves that run across the surface of water because of the surface tension...
Capillary waves are waves that run across the surface of water because of the surface tension of the water. (You can see these waves if you gently touch your finger to the water surface in a glass of water.) If the surface tension of water is 0.07 Newtons/m, if the density of water is 1000 kg/m, and if the waves have a wavelength of 3 mm (waves this short aren't affected by gravity so ignore g), estimate the speed of...
1. Try this, if you haven't before: Place your finger tightly over the top of the...
1. Try this, if you haven't before: Place your finger tightly over the top of the straw, and lift the straw up out of the water. You should find that the water stays in the straw. a. What is the net force on the water in the straw? b. Draw a free body diagram for a system that is the water. c. Is the gas pressure inside the straw, between the liquid and your finger, greater than, less than, or...
The waves on the surface of a lake form a nearly spherical surface near peak of...
The waves on the surface of a lake form a nearly spherical surface near peak of the wave, as shown in the image below. A bug is flying some distance above the surface of the water, as shown, and is being watched by a fish. The index of refraction of the water is ?=1.3 n = 1.3 . The fish is at a depth of 180cm, and the bug is flying a distance 32cm above the surface. The radius of...
Question 4. (25%) Surface gravity waves: (a) Write down the expression for phase speed c for surf...
Question 4. (25%) Surface gravity waves: (a) Write down the expression for phase speed c for surface gravity waves if their wavelength λ is much shorter than the water depth. Are these 'deep- water' waves or 'shallow water' waves? Explain briefly. (b) Write the expression for wavenumber k in terms of wavelength λ. (c) Evaluate the phase speeds for a wavelength of 10 meters, and for a wavelength of 500m. (d) Using these results, suppose the waves are generated by...
20. Two different continuous water waves on the surface of a pond would be expected to...
20. Two different continuous water waves on the surface of a pond would be expected to have roughly the same energy. frequency. amplitude. wavelengths. wave speeds.
(30 marks) For water waves with wavelength much longer than Xo, the effect of surface tension...
(30 marks) For water waves with wavelength much longer than Xo, the effect of surface tension can be neglected. These waves are called gravity waves. =%and find its value given σ=0.073 N/m and ρ: 10000 kg/ms fr (a) Show that water at 20°C. (b) Gravity waves with kh » are called deep gravity waves. Deep gravity waves generated by a storm arrived at the coast have a period of about 15 seconds. A day later, the period of the waves...
write a matlab code where you repeatedly create a multiple of N and test if all...
write a matlab code where you repeatedly create a multiple of N and test if all digits are 9 or 0
You are standing in a 1.5-m-deep swimming pool at night. The water is very still. You...
You are standing in a 1.5-m-deep swimming pool at night. The water is very still. You hold a laser pointer just above the water's surface and shine it nearly parallel to the surface, but tilted slightly down so that the beam enters the water 3.5mfrom you. How far from you does the beam strike the bottom of the pool? Index of refraction of the water is 1.33.
2) [10 marks How does the speed of deep water waves depend upon their wavelength (you...
2) [10 marks How does the speed of deep water waves depend upon their wavelength (you may neglect surface tension and the depth of the water)? How does the period of oscillation of a drop of water depend upon its radius (you may neglect gravity and any interaction of the drop with its surroundings)? Estimate the length-scale at which the transition from gravity to surface tension being the dominant process to consider occurs. [The surface tension of water is approximately...
When you hold a garden hose and use your finger to cover three-quarters of the area...
When you hold a garden hose and use your finger to cover three-quarters of the area of the opening, the water leaves the hose with a speed of 12 m/s. Calculate the speed of the water inside of the hose.
1. Try this, if you haven't before: Place your finger tightly over the top of the straw, and lift the straw up out of the water. You should find that the water stays in the straw. a. What is the net force on the water in the straw? b. Draw a free body diagram for a system that is the water. c. Is the gas pressure inside the straw, between the liquid and your finger, greater than, less than, or...
Question 4. (25%) Surface gravity waves: (a) Write down the expression for phase speed c for surface gravity waves if their wavelength λ is much shorter than the water depth. Are these 'deep- water' waves or 'shallow water' waves? Explain briefly. (b) Write the expression for wavenumber k in terms of wavelength λ. (c) Evaluate the phase speeds for a wavelength of 10 meters, and for a wavelength of 500m. (d) Using these results, suppose the waves are generated by...
(30 marks) For water waves with wavelength much longer than Xo, the effect of surface tension can be neglected. These waves are called gravity waves. =%and find its value given σ=0.073 N/m and ρ: 10000 kg/ms fr (a) Show that water at 20°C. (b) Gravity waves with kh » are called deep gravity waves. Deep gravity waves generated by a storm arrived at the coast have a period of about 15 seconds. A day later, the period of the waves...
2) [10 marks How does the speed of deep water waves depend upon their wavelength (you may neglect surface tension and the depth of the water)? How does the period of oscillation of a drop of water depend upon its radius (you may neglect gravity and any interaction of the drop with its surroundings)? Estimate the length-scale at which the transition from gravity to surface tension being the dominant process to consider occurs. [The surface tension of water is approximately...
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