Max Speed of Waves in Cowboy's Milk Glass: Solving a Physics Problem

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The discussion focuses on calculating the maximum speed of waves in milk as a cowboy walks with a glass. The cowboy's walking pace is two steps per second, which corresponds to a frequency of 2 Hz for the milk's oscillation. The wave equation y(t) = A sin(kx + wt + Φ) is referenced, indicating the need to analyze wave properties. It is suggested that the wave travels from the lip of the glass to the opposite edge and back in half a second. The key challenge is determining the wave speed based on these parameters.
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Missing template because of originally being posted in another forum.
1. a cowboy walks at a pace of about two steps per second, holding a glass of diameter 10.0 cm that contains milk. the milk sloshes higher and higher in the glass until it eventually starts to spill over the top. determine the maximum speed of the waves in the milk.

2. I know the frequency will be 2 since the milk oscillates with each step that he takes, but no sure how to approach it from their. the equations I think are:
y(t) = A sin(kx + wt + Φ)
 
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It sounds like the wave travels from the leading lip of the glass to the other edge and back again in ½ second?
 

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