Wave equation:

$\overline{){\mathbf{y}}{\mathbf{(}}{\mathbf{x}}{\mathbf{,}}{\mathbf{t}}{\mathbf{)}}{\mathbf{=}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{(}}{\mathbf{k}}{\mathbf{x}}{\mathbf{-}}{\mathbf{\omega}}{\mathbf{t}}{\mathbf{)}}}$

Expanding the given wave equation:

y(x,t)= 0.750cm cos[π(0.400cm^{−1})x+π(250s^{−1})t]

A transverse wave on a rope is given by y(x,t)= (0.750cm) cos(π[(0.400cm^{−1})x+(250s^{−1})t]).

Part A Find the amplitude.

Part B Find the period.

Part C Find the frequency.

Part D Find the wavelength.

Part E Find the speed of propagation.

Part F Is the wave traveling in the +x- or −x-direction?

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