Question:
I have noticed that water sloshes back and forth in a
pan only at a certain frequency. What does this frequency depend on?
Replies:
The waves in a trough of water depends upon the shape and size of the
trough (called a pan if the trough is circular), the depth, the viscosity of
the fluid (if it happens not to be water), as well as the frequency of the
vibration if the trough is a forced oscillator (vs. a free vibration of the
trough.
The reason I use the term "trough" because often in the study of waves in
water the shape of the vessel is often rectangular with a sloping depth.
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