A wave on a lake has a cycle length of 0.620 m anda period of 0.300 s. What is the speed of the wave?
Question
A wave on a lake has a cycle length of 0.620 m and a period of 0.300 s. What is the speed of the wave?
Solution
1. Break Down the Problem
To find the speed of the wave, we need to use the relationship between wave speed, wavelength, and period. The speed of a wave is given by the formula: where is the distance (wavelength) and is the time (period). In this case, the wavelength is 0.620 m and the period is 0.300 s.
2. Relevant Concepts
We can directly apply the formula for wave speed: where:
- is the wavelength (cycle length)
- is the period of the wave
3. Analysis and Detail
Now we substitute the values into the formula:
4. Verify and Summarize
Perform the division: Rounding to three significant figures gives:
Final Answer
The speed of the wave is approximately .
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