You are standing on a beach and 5 wave crests land on shore in 50 seconds. Each wave is 32m apart. Find Frequency, period, wavelength and speed.
To find the frequency, period, wavelength, and speed of the waves, we can use the formulas:
Frequency (f) = 1 / Period (T)
Wavelength (λ) = Distance between wave crests
Wave speed (v) = λ * f
Given:
Number of wave crests (N) = 5
Time taken for wave crests to land (t) = 50 seconds
Distance between wave crests (d) = 32 meters
Step 1: Calculate the Period (T)
Period (T) = t / N
Period (T) = 50 seconds / 5
Period (T) = 10 seconds
Step 2: Calculate the Frequency (f)
Frequency (f) = 1 / T
Frequency (f) = 1 / 10 seconds
Frequency (f) = 0.1 Hz
Step 3: Calculate the Wavelength (λ)
Wavelength (λ) = Distance between wave crests
Wavelength (λ) = 32 meters
Step 4: Calculate the Wave Speed (v)
Wave speed (v) = λ * f
Wave speed (v) = 32 meters * 0.1 Hz
Wave speed (v) = 3.2 m/s
So, the Frequency is 0.1 Hz, the Period is 10 seconds, the Wavelength is 32 meters, and the Speed is 3.2 m/s.