Answer to Question #339700 in Physics for Chris

Question

A wave is modeled with the function y(x,t) = (0.66m) cos((0.03rad/m)x − (0.9rad/s)t + π/3). Find the wavelength.

Round your answer to 2 decimal places.

Do not forget the unit

Answer 1

$$y(x,t) = (0.66m)\cos((0.03rad/m)x\\ − (0.9rad/s)t + π/3)$$

$$y(x,t) = y_0\cos((2\pi/\lambda)x −\omega t + \phi_0)$$

Hence, the wavelenght

$$\lambda=\frac{2\pi}{0.03}=209.33\:\rm m$$