The crests of an ocean wave are 10.0 m apart, and a floating gull takes 5.00 s to bob up and down once. What is the wave velocity?
A50.0 m/s
B2.00 m/s
C0.500 m/s
D5.00 m/s
Answer & Solution
Correct answer: B. 2.00 m/s
1. The distance between adjacent crests is the wavelength, so wavelength = 10.0 m.
2. The time for the gull to bob up and down once is the period, so T = 5.00 s.
3. Wave velocity is v_w = wavelength / T.
4. v_w = 10.0 m / 5.00 s = 2.00 m/s.
5. Multiplying instead of dividing gives 50.0 m/s, far too fast for an ocean swell.
6. This is the speed of the disturbance along the surface, not the speed at which the gull rises and falls.
_Source: OpenStax College Physics (CC BY 4.0), Ch 16 "Oscillatory Motion and Waves", section 16.9 Waves_
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