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Waves & Sound 1: Wave Properties

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Assignment Overview

Use your basic wave equations for frequency and period, wavlength and length, speed-distance-time, and speed-wavelength-frequency to solve the following problems.

 1. WM1Q2
Points: 0/2

Strong winds can apply a significant enough force to tall skyscrapers to set them into a back-and-forth motion. The amplitudes of these motions are greater at the higher floors and barely observable for the lower floors. It is said that one can even observe the vibrational motion of the Sears Tower in Chicago on a windy day. As the Sears Tower vibrates back and forth, it makes about 8.73 vibrations in 60.0 seconds. 

  1. Determine the frequency of vibration of the Sears Tower. Enter at least three significant digits.

    Frequency

    Hz

  2. Determine the period of vibration of the Sears Tower. Enter at least three significant digits.

    Period

    s

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 2. WM1Q5
Points: 0/1

A tall skyscraper is observed to sway back and forth in the presence of the wind with a low amplitude and a frequency of 0.030 Hz. Calculate the period of vibration of the skyscraper.

  1. Period

    s

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 3. WM4Q1
Points: 0/6

A wave is traveling in a rope. The diagram below represents a snapshot of the rope at a particular instant in time. Determine the number of wavelengths which is equal to the horizontal distance between points …

  1. … C and E on the rope.

    # of wavelengths

  2. … C and K on the rope.

    # of wavelengths

  3. … A and J on the rope.

    # of wavelengths

  4. … B and F on the rope.

    # of wavelengths

  5. … D and H on the rope.

    # of wavelengths

  6. … E and I on the rope.

    # of wavelengths

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 4. WM4Q6
Points: 0/1

A wave is traveling in a rope. The diagram below represents a snapshot of the rope at a particular instant in time. If the horizontal distance from A to F is 150.8 cm, then what is the wavelength (in cm) of the wave?

  1. Wavelength

    cm

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 5. WM5Q4
Points: 0/2

Logan, Cassie and Abbey are doing the Pulse Speed Lab. Logan and Cassie stand 6.72 m apart and stretch a zinc-coiled snakey between them. Logan introduces a pulse into the snakey at his end. Using a stopwatch, Abbey measures that it takes 15.0 seconds for the pulse to travel to Cassie's end and back two times. They then repeat the experiment with a copper-coiled snakey stretched the same distance and find that pulses travel back and forth two times in 17.2 seconds.

  1. Determine the speed of the pulse in the zinc-coiled snakey.

    Wave Speed in Zn

    m/s

  2. Determine the speed of the pulse in the copper-coiled snakey.

    Wave Speed in Cu

    m/s

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 6. WM6Q1
Points: 0/1

Jalen was fortunate enough to go on a Spring Break cruise with his family. One day he was watching waves pass by the ship as it was docked in the harbor. He estimated the crests to be 6.81 m apart. He used his stopwatch on his phone to determine that a wave crest passed by his position on the deck every 2.41 seconds. What was the speed of the ocean waves?

  1. Speed

    m/s

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 7. WM6Q3
Points: 0/1

A wire vibrates at 7.21 Hz to produce transverse waves having a wavelength of 60.7 cm. Determine the speed (in m/s) of the transverse waves.

  1. Speed

    m/s

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 8. WM6Q4
Points: 0/3

Nick and Kara were lounging on rafts in the shallow waters of the beach at Lake Bluebird. They were spaced 2.08 meters apart. A motor boat zoomed past creating ripples which traveled towards Nick and Kara. Nick and Kara's rafts began to bob up and down as the ripples passed by them, making exactly 4 up and down cycles in 9.15 seconds. When Nick's raft was at a high point, Kara's raft was at a low point and there were no crests between their rafts. Assume that the ripples traveled in a direction parallel to the imaginary line connecting the two rafts. Determine the... 

  1. ... wavelength of the ripples.

    Wavelength

    m

  2. ... frequency of the ripples.

    Frequency

    Hz

  3. ... speed of the ripples.

    Speed

    m/s

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