How Do You Calculate Wave Speed and Frequency in Water and Sound Waves?

AI Thread Summary
The discussion focuses on calculating wave speed and frequency for water and sound waves using given data. The speed of water waves is determined to be 2.4 m/s, with a period of 0.83 Hz calculated from a 1.2 s oscillation. For the swimmers' observation, the waves are moving at 4.2 m/s based on the distance between crests and the time taken for 14 crests to pass. The tuning fork's frequency is found to be 128 Hz, with a corresponding period of 0.00781 s. The thread emphasizes the importance of verifying calculations to avoid errors that could impact grades.
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Homework Statement


1. Water waves in a lake travel 4.4m in 1.8s. The period of oscillation is 1.2 s.
a) What is the speed of the water waves?
b) What is the period of the water waves?
2. A group of swimmers is resting in the sun on an off-shore raft. They estimate that 2.0m separates a trough and an adjacent crest of the surface waves on the lake. They count 14 crests that pass by the raft in 20s. How fast are the waves moving?
3. a) A tuning fork vibrates 192 times in 1.50 s. What is its frequency?
b) What is it's period?


Homework Equations



v=wavelength x frequency
frequency=1/ T

The Attempt at a Solution


1. a) v=d/t
4.4m/1.8s
=2.4m/s

b) f=1/T
=1/1.2s
=0.83 Hz

2.) v= wf
=(6m)(14 crests/20s)
=4.2m/s

3. a) f=1/T =1/(1.5s/192) = 128Hz
b) T=192vibrations/1.50 seconds
=0.00781 s

I just need someone to check these over, as they are worth a portion of my grade, and I don't want to make stupid mistakes.
 
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Question 1b
They ask for a period.

Question 2
Fourteen crests corresponds to how many wavelengths?
 
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