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Activity 5 Number 3 only
Activity #5
PROBLEM SOLVING ACTIVITY: HARMONIC MOTION
Direction: Solve the following problems. Show your complete solutions legibly and
concisely in a separate sheet of paper.
1. A travelling wave is represented by the function:
y(x, t) = 0.009 m sin (1.2 m-1x - 5.0s-1t)
Find the following:
a) Amplitude
d) angular frequency
b) wave number
e) frequency
C. wavelength
f) wave speed
2. A travelling sinusoidal wave has this equation:
y(x, t) = 0.0450 m sin(25. 12 m-1x - 37.68s-1t – 0.523)
Find the following:
b) Amplitude
d) angular frequency
b) wave number
e) frequency
C. wavelength
f) phase angle
3. The transverse waves has the following characteristics:
v = 8.00 , A = 0.0700m, and 1 = 0.320m. The waves travel in the -X-direction, and at t=0 the
x=0 end of the string has zero displacement and is moving in the +y- direction.
a) Calculate the frequency, period and wave number and angular frequency of these waves;
b) Write a wave function describing the wave.
4. Your cousin is playing with the clothesline. He unties one end, holds it tight, and wiggles the
end up and down sinusoidally with f = 2.00 Hz, A = 0.075m and v = 12.0 m/s at time t=0,
the end has zero displacement and is moving in the +y- direction. Assume that no wave
bounces back from the far end to muddle up the pattern.
a) Find the amplitude, angular frequency, period, wavelength, and wave number of the wave.
b) Write its corresponding wave function.
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Transcribed Image Text:Activity #5 PROBLEM SOLVING ACTIVITY: HARMONIC MOTION Direction: Solve the following problems. Show your complete solutions legibly and concisely in a separate sheet of paper. 1. A travelling wave is represented by the function: y(x, t) = 0.009 m sin (1.2 m-1x - 5.0s-1t) Find the following: a) Amplitude d) angular frequency b) wave number e) frequency C. wavelength f) wave speed 2. A travelling sinusoidal wave has this equation: y(x, t) = 0.0450 m sin(25. 12 m-1x - 37.68s-1t – 0.523) Find the following: b) Amplitude d) angular frequency b) wave number e) frequency C. wavelength f) phase angle 3. The transverse waves has the following characteristics: v = 8.00 , A = 0.0700m, and 1 = 0.320m. The waves travel in the -X-direction, and at t=0 the x=0 end of the string has zero displacement and is moving in the +y- direction. a) Calculate the frequency, period and wave number and angular frequency of these waves; b) Write a wave function describing the wave. 4. Your cousin is playing with the clothesline. He unties one end, holds it tight, and wiggles the end up and down sinusoidally with f = 2.00 Hz, A = 0.075m and v = 12.0 m/s at time t=0, the end has zero displacement and is moving in the +y- direction. Assume that no wave bounces back from the far end to muddle up the pattern. a) Find the amplitude, angular frequency, period, wavelength, and wave number of the wave. b) Write its corresponding wave function.
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