Question

Consider a standing wave in a container of water depth 3 m and length 20 m....

Consider a standing wave in a container of water depth 3 m and length 20 m. Assume gravitational constant g = 10 m/s^2.

a.) What is the fundamental frequency (n=1) in rad/s?

b.) What is the period for the first harmonic (n=2) in seconds?

c.) What is the wave number for the second harmonic (n=3) in rad/m?

Homework Answers

Answer #1

Dear student,

Find this solution, and RATE IT ,If you find it is helpful .your rating is very important to me.If any incorrectness ,kindly let me know I will rectify them soon.

Thanks for asking ..

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a standing wave in a container of water depth 3 m and length 20 m....
Consider a standing wave in a container of water depth 3 m and length 20 m. Assume gravitational constant g = 10 m/s^2. a.) What is the fundamental frequency (n=1) in rad/s? b.) What is the period for the first harmonic (n=2) in seconds? c.) What is the wave number for the second harmonic (n=3) in rad/m? ANSWERS MUST BE GIVEN IN UNITS STATED IN EACH PROBLEM. SHOW ALL WORK:
The standing wave properties of an ear canal are often modelled as a tube with one...
The standing wave properties of an ear canal are often modelled as a tube with one end open and one end closed. This is shown in the following diagram for a tube of length L = 2.1 cm. The fundamental mode for the sound-pressure standing wave is indicated.The standing wave properties of an ear canal are often modelled as a tube with one end open and one end closed. This is shown in the following diagram for a tube of...
Please Ensure that part e) is completed The standing wave properties of an ear canal are...
Please Ensure that part e) is completed The standing wave properties of an ear canal are often modelled as a tube with one end open and one end closed. This is shown in the following diagram for a tube of length L = 2.1 cm. The fundamental mode for the sound-pressure standing wave is indicated.The standing wave properties of an ear canal are often modelled as a tube with one end open and one end closed. This is shown in...
Four standing waves, labeled A through D, are described below: Wave A: first harmonic; pipe closed...
Four standing waves, labeled A through D, are described below: Wave A: first harmonic; pipe closed at one end; length = 1 m Wave B: first harmonic; pipe open at both ends; length = 1 m Wave C: second harmonic; pipe open at both ends; length = 3 m Wave D: second harmonic; pipe closed at one end; length = 3 m Rank the standing waves in order of decreasing frequency. Rank from greatest to smallest. To rank items as...
1) A standing-wave pattern is observed in a thin wire with a length of 4.00 m....
1) A standing-wave pattern is observed in a thin wire with a length of 4.00 m. The wave function is y = 0.002 00 sin (πx) cos (100πt) where x and y are in meters and t is in seconds. (a) How many loops does this pattern exhibit? (b) What is the fundamental frequency of vibration of the wire?
Standing waves on a 1.5-meter long string that is fixed at both ends are seen at...
Standing waves on a 1.5-meter long string that is fixed at both ends are seen at successive (that is, modes m and m + 1) frequencies of 38 Hz and 42 Hz respectively. The tension in the string is 720 N. What is the fundamental frequency of the standing wave? Hint: recall that every harmonic frequency of a standing wave is a multiple of the fundamental frequency. What is the speed of the wave in the string? What is the...
Find the wave height and wave length of a wave at depth of 2.0 m for...
Find the wave height and wave length of a wave at depth of 2.0 m for following deep water wave: Ho = 2.5 m; T = 6 s .(8) only answer with explanation needed and has to be correct thanks
A standing wave pattern is created on a string with mass density μ = 3 ×...
A standing wave pattern is created on a string with mass density μ = 3 × 10-4 kg/m. A wave generator with frequency f = 63 Hz is attached to one end of the string and the other end goes over a pulley and is connected to a mass (ignore the weight of the string between the pulley and mass). The distance between the generator and pulley is L = 0.68 m. Initially the 3rd harmonic wave pattern is formed....
The second harmonic standing wave on a particular string fixed at both ends is given by:...
The second harmonic standing wave on a particular string fixed at both ends is given by: y(x, t) = 0.01 sin(2π x) cos(200π t) (in SI units). a) Fill in the following information: λ2 = f2 = v = b) How long is the string, and what is its fundamental frequency? L =   f1 = c) This second harmonic wave has total energy E2. If the string is plucked so that has the first harmonic wave on it instead at...
Will a standing wave be formed in a 6.0 m length of stretched string that transmits...
Will a standing wave be formed in a 6.0 m length of stretched string that transmits waves at a speed of 15 m/s if it is driven at a frequency of: a) 12 Hz or b) 15 Hz? Yes for a), no for b) No for a), yes for b) No for both a) and b). Yes for both a) and b).