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Phys 221 SI Worksheet:
Waves
Supplemental Instruction
Iowa State University
Justin
Phys 221
Adhikari
11/10/2015
1. For each of the following waves determine the direction that the wave is propagating, the
speed with which it is propagating, the wavelength, and the period.
a) 𝑧(𝑦, 𝑡) = (3 𝑚) cos ((2 𝑚−1 )𝑦 + (2𝜋
b) 𝑦(𝑥, 𝑡) = (5 𝑚) cos ((5 𝑚−1 )𝑥 − (6
𝑟𝑎𝑑
𝑠
𝑟𝑎𝑑
𝑠
) 𝑡)
) 𝑡)
2. A wave has a period of 3 seconds and a wavelength of 0.4 meters. What is the angular
frequency (ω) of the wave? What is the speed of propagation of the wave?
3. A wave pulse propagates along a string with tension 20 N at a speed of 12 m/s. How fast will a
pulse move if we double the…
a) frequency of the pulse?
b) tension of the string?
4. A 20kg mass is hanging from the ceiling by a rope with a linear mass density of 2kg/m. A
wave propagates up the rope with a wavelength of 0.5m. What is the angular frequency of the
wave? (I gnore the weight of the rope when calculating the tension)
5. A microphone is at a distance of 5.00 m from one speaker and 7.00 m from another. Both
speakers are driven together at the same frequency (They are in phase). What is the lowest
frequency at which destructive interference between the sound waves from the two speakers
occurs at the position of the microphone?
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