MAST382 Lecture Notes - Lecture 13: Frequency, Wind Speed, Wind Wave

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chocolatecod698

18 Oct 2016

School

University of Delaware

Department

Marine Studies

Course

MAST382

Professor

Biddle

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Document Summary

Wave period (t) is time the wave takes to move distance equal to one wavelength = time that elapsed between arrival of two successive crests (or troughs) at a point on surface. Wave period is measured as number of seconds per wave. Wave frequency (f) is number of crests that pass a point on ocean surface in a given time. Measured as number of waves or fractions of a wave per second. Wave period (t) usually measured in seconds, frequency related by simple equation. In deep water, water molecules within waves move in circular orbital paths and only energy not water transported forward. Wave speed called celerity (c ) because there is essentially no net forward movement (or speed) of the water as the wave passes. Wave speed ( c) in deep water (depth > l/2) is calculated by the following equations: Wave steepness is equal to ratio of wave height to wavelength (h/l)

Related Questions

Solve ALL

Guided Project 66: Traveling waves Topics and skills: Functions of two variables, partial derivative, graphing The word wave elicits images of water waves rolling in beach. However, wave is used to describe any disturbance that propagates through a medium. So the word includes water waves, sound waves, electromagnetic waves (light waves and cell phone signals), seismic waves, and waves in traffic on a crowded highway, In this project, we examine some of the fundamental mathematical properties of waves. 1. Consider the function z= f(x, t) = 3 sin (pi x- 2 pi t). It is easy to graph this function (Figure 1) and indeed we waves. But this graph really doesn't explain how and why waves propagate. To interpret the graph suppose that x and t represent distance (measured in meters) and time (measured in seconds), respectively. Specifically, the x-axis is the direction in which the wave propagates and z represents the height of the surface of the wave at a particular location and time. The maximum values of z correspond to crests of the wave and the minimum values of z correspond to troughs of the wave. What are the minimum and maximum values of z? 2. Now imagine that you are sitting on the Jt-axis, say at x = 2, watching the wave pass. Set x = 2 in z = f(x, t) and graph z = z(2, t) on the interval 0 t 2. Explain how z varies on 0 t 2. How many times do you observe a crest of the wave pass? The time that elapses between passing crests is the period of the wave. How many wave crests pass per second? The number of wave crests that pass per second passes is the frequency of the wave, usually measured in cycles per second. Instead of freezing x as we did in Step 2, we can also freeze t. Suppose you take a snapshot of the wave at t = 1. Set t = 1 in z = f(x, t) and graph z =f(x, 1) on the interval 0 x 4. Explain how z varies on 0 x 4. What is the distance between crests? The distance between crests is called the wavelength of the wave. How far does the crest of the wave travel in one second of time? What is the speed of the wave?

What is the source of all waves?

A water wave vibrates up and down four times each second, the distance between two successive crests is 5 meters, and the height from the lowest part to the highest part of the wave is 2 meters.

a. What is the frequency of the wave in hertz?

b. What is the period of the wave in seconds?

c. What is the speed of the wave in meters per second?

d. What is the amplitude of the wave in meters?

When you sit in the stands at a baseball stadium, you will hear the crack of the bat a short time after you see the batter hit the ball. Explain.

Why is the moon sometimes described as silent?

lavenderreindeer626

Please solve this as early as possible.

(1). Light waves are electromagnetic waves that traval at 3. 00 x 10^8 m/s. The aye Is most sensitive to light having a wavelength of 5. 50 x 10^-7m. {a} Find the frequency of this light wave Hz =

Find the frequency of this light wave (HZ)
and its period(S).

2.The distance between two successive minima of a transverse wave is 3.00 m. Five full crest Intervals of the wave pass given point along the direction of travel every

14.2 s.

(a) Find the frequency of the wave Hz

(b} Find the wave speed m/s
3.
A harmonic wave bs traveling slong a repe It is observed that the oscillator that generates the wave completes 36.0 vibrations In 35.0 s Also, a given maximum travels 430 cm along the rope in 9.0 s What Is the wavelength in cm ?
4.
A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a Frequency of

8.54 x 10^4 Hz, and if the speed of sound in air is 343 m/s, what is the smallest Insect a bat can detect in mm ?
5. A cork on the surface of 5 pond bobs up and down two times per second an Hippies having a wavelength of 9.50 cm .If the cork is 11.5 m fram shore, how long does it take a tipple passing the cork to reach the shore ?
( )S.

6. Ocean waves are traveling te the east at 4. 7 m/s with a distance of 19 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat Is at anchor?
( ) HZ

(b) With what frequency do the waves hit the front of a boat when the boat Is moving westward at 1.5 m/s?
( ) HZ

A circus performer stretches s tightrope between two towers. He strikes ane end of the rope and sends a wave atong it toward the other tower He notes that It takes the

wave 0. 840 s to reach the opposite tower, 20.0 m away If s 1.00-m length of the rope has a mass of 0.260 kg, find the tension In the tightrope .
( ) N ?.

8. Transverse waves with a speed of 52. 0 m/s are to be produced on a stretched string A 5 .20-m length of string with a total mass of 0.0600 kg Is used.

{a) What is the required tension in the string?
( )N
(b} Calculate the wave speed in the string if the tension Is 8. 00 N.
( )m/s . ?

9.A wave of amplitude 0 .53 m interferes with a second wave of amplitude 0 .19 m traveling in the same direction.

(a) What Is the largest resultant amplitude that can occur, and under what conditions will this maximum arise?

( ) m

1.The two waves interfere destructively,

2.The two waves interfere constructively.

(b) What is the smallest resultant amplitude that cah occur, and under what conditions will this minimum arise?
( ) m

1.The two waves interfere destructively

2.The two waves interfere constructively

10.

A certain tuning fork vibrates at a frequency of 161 Hz while each tip of Its two prongs has an amplitude of 0. 724 mm .

(a) What ts the per od of this motlon?
( )ms .

(b) Find the wavelength of the sound produced by the vibrating fork taking the speed of sound in alr to be 343 m/s.
( ) m .

manya12

MAST382 Lecture Notes - Lecture 13: Frequency, Wind Speed, Wind Wave

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