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Pulley Diameter Ratio Calculator

Pulley Diameter Ratio Formula:

\[ Ratio = \frac{Larger\ Diameter}{Smaller\ Diameter} \]

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1. What is Pulley Diameter Ratio?

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.

2. How Does the Calculator Work?

The calculator uses the simple formula:

\[ Ratio = \frac{Larger\ Diameter}{Smaller\ Diameter} \]

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.

3. Importance of Pulley Ratio

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.

4. Using the Calculator

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.

5. Frequently Asked Questions (FAQ)

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.

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