A kayak travels at a steady across a deep lake

PHYSICS · Multi-part · Fermi University Physics · Oscillations, Waves & Acoustics · Waves in two and three dimensions, dispersion and wave packets · Waves in two and three dimensions, dispersion and wave packets

Modes, Packets and Media, Ch Water waves and de Broglie waves

Problem

A kayak travels at a steady

U = 6.0\,\mathrm{m\,s^{-1}}

across a deep lake. Take

g = 9.8\,\mathrm{m\,s^{-2}}

and treat the water as deep, so that the gravity dispersion relation

\omega^2 = gk

applies to the wake. ((a)) State the half-angle of the Kelvin wake behind the kayak. ((b)) Find the wavelength of the transverse waves directly behind the kayak.

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