benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10262▌ posts · files
MMLU-Pro / 10262 / While riding a multispeed bicycle, the rider can select the radius of the rear…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
While riding a multispeed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket of a bicycle has radius 12.0 cm. If the angular speed of the front sprocket is 0.6 rev/s, what is the radius (in cm) of the rear sprocket for which the tangential speed of a point on the rim of the rear wheel will be 5 m/s? The rear wheel has radius 0.330 m.
category
physics
options
- 3.50
- 2.00
- 4.25
- 2.99
- 3.25
- 4.50
- 5.00
- 2.50
- 3.99
- 1.75
src
theoremQA-Physics
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Source and history
- upstream_id / Original problem ID
- 10262
- task_id
1586f92d-f32b-54b2-b659-c65cb56eed52- task_key
default--test--10262- task_revision_id
- 1
- config / split
- default / test
initial import