Use the relationships between frequency and period, between distance, time, and speed, and between speed, frequency, and wavelength to determine unknown wave quantities.
Two boats - Boat A and Boat B - are anchored a distance of 18.3 meters apart. The incoming water waves force the boats to oscillate up and down, making one complete cycle every 10.7 seconds. When Boat A is at its peak, Boat B is at its low point and there are no crests between the two boats. The vertical distance between Boat A and Boat B at their extreme is 2.30 meters.
The wavelength is _____.
Wavelength
m
The period is _____.
Period
s
The frequency is _____.
Frequency
Hz
The amplitude is _____.
Amplitude
The wave speed is _____.
Speed
m/s
Jacque and Weiland are resting on a raft on Bluebird Lake. As waves approach their raft, they decide to determine the frequency of the waves by counting the number of crests which pass the raft in a given amount of time. They count 10.0 wave crests passing by their raft in 17.6 seconds. And they estimate that the wavelength of the waves is 2.77 meters.
Calculate the frequency of the waves.
Calculate the speed of the waves.
During the Speed of a Wave lab, Noah's lab group observed that disturbances in their rope would travel 613 cm in 10.0 s. They also observed that the oscillator that created the disturbances completed 45 vibrations in 69.8 seconds. Calculate the wavelength (in cm) of these waves.
cm
A wave with a frequency of 17.8 Hz is traveling in the positive x direction as pictured in the diagram at the right. The horizontal distance from point A to point B is 48.4 cm. The vertical distance from point C to point D is 19.0 cm. Calculate the …
… amplitude (in centimeters) of the wave.
… the wavelength (in centimeters) of the wave.
… the period (in milliseconds) of the wave.
ms
… the speed (in centimeters/second) of the wave.
cm/s
It's a shame what you can find on the waters at Bluebird Lake. Last weekend, Wellesy and Lanelle observed a Culver's Concrete Mixer cup bobbing up and down on the surface approximately 17.3 m from shore. The bag made exactly 3 up and down cycles per second as some ripples passed by. The ripples have a wavelength of 47.7 cm. Determine the time it takes the ripples to travel from the cup to the shore.
Time
Ryan and Carson attended their church's youth retreat at Camp Paradise this past fall. On Saturday afternoon they took a walk out to the harbor and watched incoming waves from Lake Michigan rock the boating piers up and down. Ryan and Carson observed that the piers made a complete up and down vibration cycle in 7.01 seconds. The piers were positioned a distance of 21.1 meters apart. When one pier was at a high position, the neighboring pier was at a low position and there was exactly one wave crest between them. Determine the …
… wavelength of the waves.
… frequency of the waves.
… speed of the waves.