Waves

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Waves
What is a wave?


Repeating disturbance that transfers energy through matter or
space

Waves in water

Sound

Light
When traveling through matter, they are caused by particles
transferring energy to other particles

The wave does not “move”


It transfers energy causing particles around it to move
Waves carry energy without transporting matter
Making Waves
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Waves only travel as long as they have energy
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As the energy is lost, the waves decrease in size
All waves are due to vibrations

Movement up and down, or back and forth
Mechanical Waves

Waves that can only travel through a medium


Medium=matter through which a wave travels
Sound waves, water waves, and other waves we can see are
mechanical waves
Transverse waves

A wave where particles in the medium move back and forth at right
angles to the direction of the wave
Longitudinal waves

Waves in which the particles move back and forth


Same direction as the movement of the wave
Most of the waves we cannot see

Sound waves
Seismic Waves

Caused by the movement of Earth’s Crust
Properties of Waves

Parts of a wave
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Transverse waves:
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Crest-high points

Trough-Low points
Longitudinal waves:

Compression- more dense region

Rarefaction- less-dense region
Wavelength

The distance between one part of the wave, and the next just like it

Represented by Greek letter lambda (λ)
Frequency and Period

Frequency-number of wavelengths that pass a fixed point each second

Measured in Hertz (Hz)


1 Hz= 1/s
Related to frequency

Longer wavelengths have longer frequencies


More small waves pass through a point than longer waves
Period

Amount of time it takes one wavelength to pass a point in seconds
Wave Speed

The speed of a wave depends on the medium through which it
travels



More particles in a liquid

Exception: Light travels more slowly in liquids than gases
Changes to the medium can affect the wave’s speed


Usually faster in liquids than gases
Sound travels quicker at warm temperatures than in cool temperatures
Equation:

𝑣 = 𝑓𝜆

Speed=frequency x wavelength
Practice Problem

If a wave has a frequency of 5 Hz, and a wavelength of 2 m, what is
the speed of the wave?

10 m/s
Practice #2

What is the wavelength of a wave with a frequency of 4 Hz traveling
at 16 m/s?

4m
Challange

The speed of light is about 3x108 m/s. If a light wave has a
wavelength of 3 m, how many waves will pass a certain point in 1
second?

100,000,000
Amplitude

Measure of the size of the disturbance of a wave


In longitudinal waves,

High-amplitude waves have compressions closer together and rarefactions
farther apart

Low-amplitude waves have compressions further apart and rarefactions
closer together
In transverse waves,

From the rest position to the crest or trough
Reflection

Occurs when a wave strikes an object and bounces off of it
The Law of Reflection

Beam hitting the object is the incident ray

The reflected beam is the reflected ray
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The perpendicular line between them is the
normal

i is the angle of incidence

r is the angle of reflection

The Law of reflection states that i and r are
equal
Practice

A laser hits a mirror at 25 degrees to the normal. What will be the
angle of reflection to the normal?

25 degrees
You try it

A beam of light hits a mirror at an angle of 10 degrees from the
mirror. What is the angle of reflection from the normal?

80 degrees
Refraction

Bending of waves due to change in speed from one medium to
another

When light slows down, it bends toward the normal

When light speeds up, it bends away from the normal
Diffraction

The bending of waves around an object
Interference

Multiple waves overlap and combine to form a new wave

Constructive interference: Waves add together
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Destructive interference: Waves subtract from one another
Standing Waves

Occurs when waves equal in wavelength and amplitude, but in
opposite directions, constantly interfere with each other

https://www.youtube.com/watch?v=no7ZPPqtZEg

The waves appear not to move

Standing waves have nodes

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Places where interfering waves always cancel
Used in instruments to produce pure sounds
Resonance

Process by which an object is made to vibrate by absorbing energy
at its natural frequency


Swinging on a swing (have to pump at the right time to speed up)
https://www.youtube.com/watch?v=wvJAgrUBF4w
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