2. The drag force (F) on a boat is influenced by the water velocity (V), water viscosity (µ), water density (p), and the width of the boat (w). What would be a suitable set of pi terms for exploring this relationship?

2. The drag force (F) on a boat is influenced by the water velocity (V), water viscosity (µ), water density (p), and the width of the boat (w). What would be a suitable set of pi terms for exploring this relationship?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 13P

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Question

100%

***The answer includes:

1. The correct dimension of variables is: F: MLT^-2, v: LT^-1, μ:ML^-1T^-1, ρ: ML^-3, w: L

2. Choice of repeating variables: (w,v,ρ). Choice does NOT include F. Stick with choice throughout.

3. # pi terms = # variables- # dimensions = 5-3=2.

4. π1= F/w^2v^2ρ

5. π2= μ/wvp

These are the correct answers for the problem, I just need the work involved in solving it

2. The drag force (F) on a boat is influenced by the water velocity (V), water viscosity (µ),
water density (p), and the width of the boat (w). What would be a suitable set of pi terms
for exploring this relationship?

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