A torpedo scale model is evaluated within a towing tank at 25 m/sec, while the full-scale prototype is projected to operate at 5 m/sec. What scaling ratio was utilized?
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Answer: A. 1 : 5
Explanation
Froude number scaling requires velocity ratio to equal the square root of the length ratio. The velocity ratio of twenty-five to five equals a factor of five. Squaring the velocity scale factor yields a length scaling ratio of one to five. Scale model testing relies on dimensionless parameters like the Froude and Reynolds numbers. Gravitational forces dominate surface wave generation in marine towing tank experiments. Correct scaling ensures that gravitational and inertial forces remain proportional between model and prototype.
Shipbuilders use towing tanks to determine power requirements for large ocean-going vessels. Model testing prevents costly design flaws in full-scale marine engineering projects. Accurate scaling laws are essential for predicting turbulent wake patterns behind watercraft. One to two point five fails to satisfy the square root velocity scaling relationship. One to twenty-five mistakenly applies the velocity ratio directly to the length scale. Square root symbols in option D represent alternative non-standard dimensional representations.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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