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WAVE CALCULATIONS. March 17, 2014. SOLVING FOR WAVELENGTH (λ). YOU ARE GIVEN: The number of waves and the distance (d) they occupy WAVELENGTH=DISTANCE/# OF WAVES EXAMPLE : If I have 3 waves in 60 meters, what is the wavelength? WAVELENGTH = Distance/ # of waves

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Wave calculations

WAVE CALCULATIONS

March 17, 2014


Solving for wavelength
SOLVING FOR WAVELENGTH (λ)

  • YOU ARE GIVEN:

    • The number of waves and the distance (d) they occupy

    • WAVELENGTH=DISTANCE/# OF WAVES

  • EXAMPLE: If I have 3 waves in 60 meters, what is the wavelength?

    • WAVELENGTH = Distance/ # of waves

    • Wavelength = 60 meters/3 waves

    • Wavelength = 20 meters


Solving for frequency f
SOLVING FOR FREQUENCY (f)

  • YOU ARE GIVEN:

    • The # of waves

    • The Time (t)

    • FREQUENCY = # OF WAVES/ TIME

  • EXAMPLE: If I have 3 waves traveling for 60 seconds, what is the frequency?

    • FREQUENCY = 3 WAVES/60 SECONDS

    • FREQUENCY = .05 HERTZ (Hz)


Solving for wave speed v
SOLVING FOR WAVE SPEED (V)

  • If you have any combination of wave speed (v), frequency (f) or wavelength (λ)

    • WAVE SPEED = FREQUENCY x WAVELENGTH

    • V = f λ

  • IT CAN ALSO BE REPRESENTED IN A NIFTY TRIANGLE:

V

f

λ


Example
Example

  • So, if I have a frequency of 4 Hz and length of 20 meters, what is the wave speed?

    • WAVE SPEED = FREQUENCY x WAVELENGTH

    • WAVE SPEED = 4 HERTZ x 20 METERS

    • WAVE SPEED= 80 m/s


Solving for wave speed v continued
SOLVING FOR WAVE SPEED (V) CONTINUED:

  • UNITS WILL STAY THE SAME FOR EACH CATEGORY (NO MATTER WHAT) AND ARE AS FOLLOWS:

    • WAVESPEED IS m/s (meters per second)

    • FREQUENCY IS Hz (Hertz)

    • WAVELENGTH IS m OR cm (meters OR centimeters) based on what the problem says.


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