I have two parametric equations for the speed of a particle in a plane:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\dot{x}(t) = A \left( 1 - cos{\Omega t} \right)[/tex]

[tex]\dot{y}(t) = A sin{\Omega t}[/tex]

The period is equal to [itex]\Omega[/itex]. How do I find the wavelength of the motion?

The wavelength is just [itex] \lambda = \Omega v [/itex], where [itex]v = \sqrt{\dot{x}^2 + \dot{y}^2}[/itex] is the speed, right? But then the wavelength is not time invariant. Could my answer

[tex]\lambda = \Omega A \left( 2 - 2cos{\Omega t} \right)^{1/2}[/tex]

really be correct?

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# Homework Help: Wavelength of particle motion

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