Pulley Ratio and RPM Formulas:
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Definition: This calculator determines the speed ratio between two pulleys and the resulting RPM of the driven pulley based on their diameters and input RPM.
Purpose: It helps mechanical engineers, technicians, and DIY enthusiasts properly size pulleys and calculate speed changes in belt-driven systems.
The calculator uses the formulas:
Where:
Explanation: The ratio is determined by dividing the driven pulley diameter by the drive pulley diameter. The output RPM is then calculated by dividing the input RPM by this ratio.
Details: Proper pulley sizing ensures optimal power transmission, prevents belt slippage, and achieves desired speed reduction or increase in mechanical systems.
Tips: Enter the input RPM, drive pulley diameter, and driven pulley diameter. All values must be > 0. The calculator will output the ratio and resulting RPM.
Q1: What if I want to increase speed rather than reduce it?
A: Simply make the drive pulley (D1) larger than the driven pulley (D2) - this will result in RPM2 being higher than RPM1.
Q2: Does belt thickness affect the calculation?
A: For precision, measure pulley diameter at the belt's pitch line, but for most applications, using the outer diameter is sufficient.
Q3: Can I use this for multiple pulley systems?
A: For multiple pulleys, calculate each stage sequentially, using the output RPM from one stage as the input for the next.
Q4: What's a typical pulley ratio range?
A: Common ratios range from 1:1 to 6:1, but specialized applications may go beyond this range.
Q5: How does this relate to torque?
A: When RPM decreases, torque increases proportionally (and vice versa), assuming 100% efficiency in the system.