Wave Equations Pptx
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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
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.
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.
What is the amplitude of the pendulum swing
based on the graph?
At what time will the pendulum be at a crest?
T.Q.
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.
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
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