If D1 and D2 represent driver and driven pulley diameters, how is belt speed related to them__________________?
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Answer: D. D1
Explanation
Belt linear speed depends on driver diameter and rotational speed in comparative relations. Standard belt speed formulas scale directly with the driver pulley diameter D1. Relating speed proportionally to D1 allows engineers to compare different drive setups easily. Linear belt speed equals the product of pulley rotational speed and its radius or diameter. Driver and driven pulleys share the same linear belt speed assuming zero belt slip. Diameter ratios determine the rotational speed output transmitted to the driven shaft.
Machine shop equipment uses pulley sizing calculations to set appropriate spindle cutting speeds. Conveyor belt designers calculate linear speeds to ensure material handling throughput targets are met. Understanding velocity relationships prevents overloading drive motors with incorrect pulley ratios. Option A represents the standard rotational speed ratio between driver and driven pulleys. Option B inverts the diameter ratio, yielding the inverse speed multiplication factor. Option C and option E introduce arithmetic operations that do not describe linear belt speed.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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