Transcript Wave Equations Pptx

By the end of the day today, IWBAT…
• Analyze characteristics of waves (velocity, frequency,
amplitude, wavelength) and calculate using the relationship
between wavespeed, frequency, and wavelength.
Do Now:
Calculate the speed of a periodic wave
that has a wavelength of 3.0 m and a
frequency of 4.0 Hz.
Monday, January 27, 2014
Do Now:
Calculate the speed of a periodic wave
that has a wavelength of 3.0 m and a
frequency of 4.0 Hz.
Calculate the speed of a periodic wave
λ = 2.0 m and f = 3.0 Hz.
λ x f = 3.0 m x 4.0 Hz = 12.0 m/s
Monday, January 27, 2014
By the end of the day today,
IWBAT…
• Analyze characteristics of waves
(velocity, frequency, amplitude,
wavelength) and calculate using the
relationship between wavespeed,
frequency, and wavelength.
Another Magic Triangle…
Do Now #2:
Calculate the wavelength of a water wave
with a speed of 3.0 m/s and frequency of
4.0 Hz. (Answer in meters to the hundredths.)
Calculate the wavelength
λ x f = v → v ÷ f =λ
Monday, January 27, 2014
Do Now #2:
Calculate the wavelength of a water wave
with a speed of 3.0 m/s and frequency of
4.0 Hz. (Answer in meters to the hundredths.)
Calculate the wavelength
λ x f = v → v ÷ f =λ
3.0 m/s ÷ 4.0 Hz = λ = 0.75 m
Monday, January 27, 2014
Unit 9: Mechanical Waves
The Unit 9 Cover Sheet goes into your
journals to keep track of your completed daily
work prior to the exam. Record all
assignments and keep it together.
•
Monday, 01/27/14
TEKS:
P.7B Investigate and
analyze characteristics of
waves, including velocity,
frequency, amplitude, and
wavelength…
By the end of today,
IWBAT…
calculate using the
relationship between
wavespeed, frequency, and
wavelength.
Essential Question:
Topic:
How do we calculate
wavespeed,
Mechanical Wave
frequency and
wavelength?
Equations
Mechanical Waves Equations
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Use your Mini-Books for reference
Create a sample wave on your C-Notes and label
all components.
Identify each component of the waveform
Solve the sample questions using wave equations.
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Y-axis = displacement, the distance of a particle
from its equilibrium position
X-axis can represent either time or distance from a
specified point within the medium. A displacementtime graph shows the displacement of one particle of
the medium as time goes by. A displacement-distance
graph shows the displacement of all particles of the
medium at one instant in time.
A = amplitude, the maximum displacement from
equilibrium of any particle
Crest and trough are the points of maximum
displacement from equilibrium above and below
equilibrium position respectively.
λ = wavelength, the distance between two
consecutive identical points on the wave eg between
two crests or two troughs.
Frequency = equals the number of waves that passes
a given point per second.
v = velocity, the speed with which the energy is being
transferred in the direction of motion.
T.Q.
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What is the amplitude of the pendulum swing
based on the graph?
At what time will the pendulum be at a crest?
T.Q.
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A
What is the amplitude of the pendulum swing
based on the graph? 2.5 m
At what time will the pendulum be at a crest?
0.5 s
T.Q.
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What is the wavelength of the wave?
If the spring oscillates at a rate fo 4 times
per second, what is the velocity of the
wave?
T.Q.
λ
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What is the wavelength of the wave? 1.0 m
If the spring oscillates at a rate of 4 times
per second, what is the velocity of the wave?
λ x f = (1.0m) x (4/1) = 4.0 m/s