In a chain drive, the speed ratio is determined by

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Study for the PMMI Mechanical Drives Test with engaging multiple choice questions and detailed explanations. Enhance your knowledge on mechanical drives and get ready for your exam!

Multiple Choice

In a chain drive, the speed ratio is determined by

Explanation:
In a chain drive, the speed relationship comes from geometry and the fact the chain pitch is fixed with no slipping. The chain carries the same linear speed around both sprockets, so the driver’s tangential speed equals the driven’s: ω_driver × R_driver = ω_driven × R_driven. Since the pitch diameter is proportional to the number of teeth, the radii scale with teeth count, giving ω_driver/ω_driven = N_driven/N_driver. Therefore the speed ratio is determined by the ratio of the driven sprocket teeth to the driver sprocket teeth. The chain’s material, width, or total length don’t set this ratio; they affect strength and capacity, not the fundamental speed relationship.

In a chain drive, the speed relationship comes from geometry and the fact the chain pitch is fixed with no slipping. The chain carries the same linear speed around both sprockets, so the driver’s tangential speed equals the driven’s: ω_driver × R_driver = ω_driven × R_driven. Since the pitch diameter is proportional to the number of teeth, the radii scale with teeth count, giving ω_driver/ω_driven = N_driven/N_driver. Therefore the speed ratio is determined by the ratio of the driven sprocket teeth to the driver sprocket teeth. The chain’s material, width, or total length don’t set this ratio; they affect strength and capacity, not the fundamental speed relationship.

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