n = 7.5 times/minute does a boat bob up and down on ocean waves that have a wavelength of 29.6 m and a propagation speed of 7.08 m/s.
How do you find time with wavelength and speed?
- The wave moves one wavelength in one period. Speed is calculated using the formula v = / T. Wave speed, frequency, and wavelength are related by the equation v = f because the frequency, f, is 1/T.
- As a result, the equation becomes v = f * or = v / f when solving for. Wave speed is measured in terms of distance travelled in a unit of time, such as metres per second or m/s. Frequency is measured in Hz. Wavelength is a distance parameter, often measured in metres (m).
- The wave's velocity and wavelength first, it is simple to calculate the frequency using the formulas f = v. Using T = 2 = 1 f, we can calculate the time period after calculating the frequency.
Given data :
- Wavelength of the ocean wave, λ = 29.6 m
- The speed of the ocean wave, v = 7.08 m/s
The relation between the speed of wave, wavelength and frequency is given by :
v = f x λ
f = v / λ = 7.08 / 29.6 = 0.239 Hz
The number of times per minute the bob moves up and down is given by :
n = f x t = 0.239 x 60 = 14.35 times / minute.
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