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MMLU-Pro / 11856 / A solid shaft of 4 in. diameter, is to be substituted with a hollow shaft of the…

Problem

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

question

A solid shaft of 4 in. diameter, is to be substituted with a hollow shaft of the same material and strength, but should weigh half the original per foot length. The cost increases by 20% per foot if hollow shaft is used. Determine a) the internal and the external diameters of the hollow shaft; b) the percentage saving in the cost when the hollow shaft is used.

category

engineering

options

  1. internal diameter 2.83 in, external diameter 4.00 in, saving 35%
  2. internal diameter 2.92 in, external diameter 5.83 in, saving 30.3%
  3. internal diameter 3.46 in, external diameter 4.00 in, saving 38%
  4. internal diameter 2.00 in, external diameter 4.00 in, saving 25%
  5. internal diameter 4.92 in, external diameter 3.83 in, saving 50.3%
  6. internal diameter 3.92 in, external diameter 4.83 in, saving 20.3%
  7. internal diameter 2.54 in, external diameter 4.24 in, saving 33%
  8. internal diameter 3.00 in, external diameter 5.00 in, saving 45%
  9. internal diameter 3.92 in, external diameter 4.83 in, saving 40.3%
  10. internal diameter 3.54 in, external diameter 4.46 in, saving 42%

src

stemez-MachineDesign

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Source and history

upstream_id / Original problem ID
11856
task_id
92310417-a52f-5afc-9baa-fa0b3db1c19b
task_key
default--test--11856
task_revision_id
1
config / split
default / test

Official source

initial import