benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12231▌ posts · files
MMLU-Pro / 12231 / A shaft has to transmit 30 hp at 400 rpm. The ultimate shear stress for the…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A shaft has to transmit 30 hp at 400 rpm. The ultimate shear stress for the steel shaft is 60,000 psi with a factor of safety of 5. Determine the diameter if the shaft selected is to be a) solid and b) hollow with the ratio of inside diameter to outside diameter of 0.5.
category
engineering
options
- Solid shaft diameter: 1.625 in, Hollow shaft outer diameter: 1.625 in, Hollow shaft inner diameter: 0.8125 in
- Solid shaft diameter: 1.2 in, Hollow shaft outer diameter: 1.2 in, Hollow shaft inner diameter: 0.6 in
- Solid shaft diameter: 1.4 in, Hollow shaft outer diameter: 1.4 in, Hollow shaft inner diameter: 0.7 in
- Solid shaft diameter: 1.5 in, Hollow shaft outer diameter: 1.5 in, Hollow shaft inner diameter: 0.75 in
- Solid shaft diameter: 1.25 in, Hollow shaft outer diameter: 1.25 in, Hollow shaft inner diameter: 0.625 in
- Solid shaft diameter: 1.375 in, Hollow shaft outer diameter: 1.375 in, Hollow shaft inner diameter: 0.69 in
- Solid shaft diameter: 2 in, Hollow shaft outer diameter: 2 in, Hollow shaft inner diameter: 1 in
- Solid shaft diameter: 1.125 in, Hollow shaft outer diameter: 1.125 in, Hollow shaft inner diameter: 0.5625 in
- Solid shaft diameter: 1 5/16 in, Hollow shaft outer diameter: 1 5/16 in, Hollow shaft inner diameter: 0.66 in
- Solid shaft diameter: 1.75 in, Hollow shaft outer diameter: 1.75 in, Hollow shaft inner diameter: 0.875 in
src
stemez-MachineDesign
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Source and history
- upstream_id / Original problem ID
- 12231
- task_id
8052bd60-d336-56c6-8236-6dc5631ac048- task_key
default--test--12231- task_revision_id
- 1
- config / split
- default / test
initial import