Concept explainers
Relationship in dimensionless form and result if Y is negligible.
Answer to Problem 5.19P
The relationship in dimensionless form is
The period of oscillation T, density ρ, wavelength λ, depth h, gravity g, and surface tension Y the variables and their dimensions.
Then n = 6 and j = 3, hence we expect n - j = 6 - 3 = 3
Capable of various arrangements and selected by self follows:
Replacing h by
We get,
Typical result =
If Y is negligible, ρ drops out also, leaving
Explanation of Solution
The period of oscillation T, density ρ, wavelength λ, depth h, gravity g, and surface tension Y the variables and their dimensions.
Then n = 6 and j = 3, hence we expect n - j = 6 - 3 = 3
Capable of various arrangements and selected by self follows:
Replacing h by
We get,
Typical result =
If Y is negligible, ρ drops out also, leaving
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Chapter 5 Solutions
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