Introduction to Waves

I. Waves Transfer Energy

- Water waves disturbance at one spot will cause things to move up & down at another location. This demonstrates a Transfer of Energy from one place to another

- Sound Waves - vibrating object moves the air & the moving air vibrates eardrum.

- Earthquakes: Waves can create allot of damage!

II. Oscillating Motion

- Simple Harmonic Motion: Motion that repeats itself in a time consistent manner.

- Pendulum: Cyclical motion where the time for the motion to repeat depends upon the pendulum length

- Mass and Spring: Time for repeating motion depends upon the length of the spring and the weight of the hanging mass.

III. Properties of Waves

- Pendulum motion traced out in time produces a sine curve

- Has periodicity (s), The period , T, is the time it takes for the wave to reproduce itself

- Frequency - how many oscillations go past a point each second (cycles per second (1/s) or Hertz (Hz)) f=1/T

- Waves traveling have a wave speed. (meters per second or m/s)

- Wavelength (in meters) The physical length of the wave

- Traveling Wave Relationship: (velocity)=(frequency)(wavelength)

IV. Types of Traveling Waves

-Transverse Waves: Wave propagate perpendicular to the motion of the oscillation .

-Longitudnal Wave: Wave propagate paralell to the motion of the oscillation .

V. Waves Can Interact - Superposition. Destructive & Constructive Interference

-When Two waves interact they can constructively add together or destructively cancel each other.

- Superposition Applet

- Interference: This is a wave property.

VI. Standing Waves

- Wave Reflection from a Boundary. A string with a fixed end reflects a wave. The wave inverts upon reflection.

-Standing Wave: Reflected waves add to incident waves. At precise frequencies the waves add together producing nodes (areas of no vibration) and antidnodes (vibrating bumps).

- Important phenomena we will come back to when studying sound resonance and musical instruments.

VII. Doppler Effect

- A moving wave source causes a change in the wavelength.

- A source moving towards the observer (your ears) causes the wavelength to be shorter. (velocity)=(frequency)(wavelength) The velocity of the wave does not change so as the wavelength gets shorter the frequency must get higher. ( Pitch of a sound wave is higher. The color of light moves to the blue, higher frequency.)

- A source moving away from the observer (your ears) causes the wavelength to be longer. (velocity)=(frequency)(wavelength) The velocity of the wave does not change so as the wavelength gets larger the frequency must get lower. ( Pitch of a sound wave is lower. The color of light moves to the red, lower frequency.)

- Doppler Effect Applet

VIII. Sonic Boom

- Source moving faster than the speed of the traveling wave.

- Wavefronts build up in front of the moving source causing a very large Bow Wave. Contains a large amount of energy.

- Examples: Wave from a boat moving in the water. Jets traveling faster than the speed of sound.

Refer to Conceptual Physics Chapter 18.