13.1.6 - Principle of Homogeneity
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Practice Questions
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Define dimensional homogeneity.
💡 Hint: Consider what it means for things to be 'the same' across an equation.
What is the dimensional formula for velocity?
💡 Hint: Think of how velocity is calculated.
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Interactive Quizzes
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What is dimensional homogeneity?
💡 Hint: Think about the fundamental idea behind dimensional analysis.
True or False: Reynolds number is used to specify units in fluid dynamics.
💡 Hint: Consider what dimensionless means.
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Challenge Problems
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Verify if the equation P = ρgh is dimensionally homogeneous, where P is pressure, ρ is density, g is acceleration due to gravity, and h is height.
💡 Hint: Break down each term into its fundamental dimensions.
Analyze how the introduction of a new variable in a fluid dynamics equation would affect its dimensional homogeneity.
💡 Hint: Consider the dimensions of the new variable.
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