benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 11305 / The drag of a ship in water is assumed to depend on the Reynolds number and the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The drag of a ship in water is assumed to depend on the Reynolds number and the Froude number so that [drag / {(1/2)(\rhoV^2A)}] = f [{(\rhoVD) / \mu}, (V^2 / gD)] It is proposed that a model one-tenth the size of a full-scale ship be tested in water and the results be used to predict the performance of the full-scale ship. Is this feasible?

category

engineering

options

  1. both Froude and Reynolds numbers need to be greater in the prototype
  2. only Weber numbers need to be equal for model and prototype
  3. the attainment of dynamic similarity in model and prototype is not possible
  4. both Froude and Reynolds numbers need to be smaller in the model
  5. similitude can be achieved by matching the Euler numbers only
  6. the attainment of dynamic similarity in model and prototype is possible
  7. dynamic similarity is irrelevant for predicting performance
  8. the attainment of geometric similarity in model and prototype is sufficient
  9. only Reynolds numbers need to be equal for model and prototype
  10. only Froude numbers need to be equal for model and prototype

src

stemez-FluidMechanics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
11305
task_id
c1f3715f-da0c-5bab-ad96-6d66e7a95bb9
task_key
default--test--11305
task_revision_id
1
config / split
default / test

Official source

initial import