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A cork on the surface of a swimming pool bobs up and down once every second on some ripples. The ripples have a wavelength of 20 cm . If the cork is 2 m from the edge of the pool, how long does it take a ripple passing the cork to reach the edge?

  1. We are given:

    • frequency of wave: f = 1 Hz
    • wavelength of wave: λ = 20 cm
    • distance of cork from edge of pool: D = 2 m

    We are required to determine the time it takes for a ripple to travel between the cork and the edge of the pool.

    The wavelength is not in SI units and should be converted.

  2. The time taken for the ripple to reach the edge of the pool is obtained from:

    t = D v ( from v = D t )

    We know that

    v = f · λ

    Therefore,

    t = D f · λ
  3. 20 cm = 0 , 2 m
  4. t = D f · λ = 2 m ( 1 Hz ) ( 0 , 2 m ) = 10 s
  5. A ripple passing the leaf will take 10 s to reach the edge of the pool.

The following video provides a summary of the concepts covered so far.

Khan academy video on waves - 1

Waves

  1. When the particles of a medium move perpendicular to the direction of the wave motion, the wave is called a ... ... ... wave.
  2. A transverse wave is moving downwards. In what direction do the particles in the medium move?
  3. Consider the diagram below and answer the questions that follow:
    1. the wavelength of the wave is shown by letter .
    2. the amplitude of the wave is shown by letter .
  4. Draw 2 wavelengths of the following transverse waves on the same graph paper. Label all important values.
    1. Wave 1: Amplitude = 1 cm, wavelength = 3 cm
    2. Wave 2: Peak to trough distance (vertical) = 3 cm, peak to peak distance (horizontal) = 5 cm
  5. You are given the transverse wave below.
    Draw the following:
    1. A wave with twice the amplitude of the given wave.
    2. A wave with half the amplitude of the given wave.
    3. A wave travelling at the same speed with twice the frequency of the given wave.
    4. A wave travelling at the same speed with half the frequency of the given wave.
    5. A wave with twice the wavelength of the given wave.
    6. A wave with half the wavelength of the given wave.
    7. A wave travelling at the same speed with twice the period of the given wave.
    8. A wave travelling at the same speed with half the period of the given wave.
  6. A transverse wave travelling at the same speed with an amplitude of 5 cm has a frequency of 15 Hz. The horizontal distance from a crest to the nearest trough is measured to be 2,5 cm. Find the
    1. period of the wave.
    2. speed of the wave.
  7. A fly flaps its wings back and forth 200 times each second. Calculate the period of a wing flap.
  8. As the period of a wave increases, the frequency increases/decreases/does not change.
  9. Calculate the frequency of rotation of the second hand on a clock.
  10. Microwave ovens produce radiation with a frequency of 2 450 MHz (1 MHz = 10 6  Hz) and a wavelength of 0,122 m. What is the wave speed of the radiation?
  11. Study the following diagram and answer the questions:
    1. Identify two sets of points that are in phase.
    2. Identify two sets of points that are out of phase.
    3. Identify any two points that would indicate a wavelength.
  12. Tom is fishing from a pier and notices that four wave crests pass by in 8 s and estimates the distance between two successive crests is 4 m. The timing starts with the first crest and ends with the fourth. Calculate the speed of the wave.

Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Physics - grade 10 [caps 2011]. OpenStax CNX. Jun 14, 2011 Download for free at http://cnx.org/content/col11298/1.3
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