Pulley Diameter Ratio Formula:
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The Pulley Diameter Ratio is the ratio of the larger pulley diameter to the smaller pulley diameter in a belt drive system. This ratio determines the speed relationship between the driving and driven pulleys.
The calculator uses the simple formula:
Where:
Explanation: The ratio is dimensionless as it's a ratio of two values with the same units. A ratio greater than 1 indicates the driven pulley rotates slower than the driving pulley.
Details: The pulley diameter ratio is crucial for determining speed reduction/increase in belt drive systems. It affects torque, power transmission efficiency, and belt life in mechanical systems.
Tips: Enter both diameters in the same units (inches, mm, etc.). Both values must be positive numbers. The larger diameter should be entered first for accurate ratio calculation.
Q1: How does pulley ratio affect speed?
A: The speed ratio is inversely proportional to the diameter ratio. If the ratio is 2:1, the smaller pulley rotates twice as fast as the larger one.
Q2: Can I use different units for diameters?
A: No, both diameters must be in the same units since the ratio is dimensionless.
Q3: What's a typical pulley ratio range?
A: Common ratios range from 1:1 to 10:1, though higher ratios are possible with proper belt selection and system design.
Q4: How does ratio affect belt tension?
A: Larger ratios require more careful tensioning as the belt wraps around different diameters, affecting wear patterns.
Q5: Is this the same as gear ratio?
A: While conceptually similar (both relate to speed/torque changes), pulley ratios use diameters while gear ratios use tooth counts.