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MMLU-Pro / 12173 / A key is used to fasten a pulley having a 3(1/2) in. long hub, delivering a…

Problem

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

question

A key is used to fasten a pulley having a 3(1/2) in. long hub, delivering a torque of 1250 lbs.-ft. to a shaft 2(1/2) in., in diameter. If the pulley is made of ASTM 25 gray cast-iron, the shaft and key of cold drawn AISI 1020 and hot rolled 1010 steel respectively, determine the following under conditions of moderate shock: (a) the least permissible key length. (b) the key length, considering the key and shaft to be of the same material.

category

engineering

options

  1. Minimum length of the key is 2.0 in and length of the key when both key and shaft are of the same material is 3.5 in.
  2. Minimum length of the key is 3.5 in and length of the key when both key and shaft are of the same material is 3.0 in.
  3. Minimum length of the key is 2.5 in and length of the key when both key and shaft are of the same material is 4.0 in.
  4. Minimum length of the key is 1.5 in and length of the key when both key and shaft are of the same material is 4.0 in.
  5. Minimum length of the key is 1.0 in and length of the key when both key and shaft are of the same material is 2.5 in.
  6. Minimum length of the key is 2.0 in and length of the key when both key and shaft are of the same material is 4.5 in.
  7. Minimum length of the key is 1.5 in and length of the key when both key and shaft are of the same material is 3.0 in.
  8. Minimum length of the key is 1.0 in and length of the key when both key and shaft are of the same material is 3.0 in.
  9. Minimum length of the key is 3.0 in and length of the key when both key and shaft are of the same material is 2.0 in.
  10. Minimum length of the key is 2.5 in and length of the key when both key and shaft are of the same material is 5.0 in.

src

stemez-MachineDesign

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Source and history

upstream_id / Original problem ID
12173
task_id
2e1e0f9e-9970-552c-ac3d-1680e6bc6d34
task_key
default--test--12173
task_revision_id
1
config / split
default / test

Official source

initial import