Pulley RPM Formula:
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Definition: This calculator determines the output RPM of a driven pulley based on input RPM and the diameters of both pulleys.
Purpose: It helps mechanical engineers, technicians, and DIYers design and troubleshoot belt-driven systems.
The calculator uses the formula:
Where:
Explanation: The output speed changes inversely with the ratio of pulley diameters - a larger driven pulley will rotate slower than the drive pulley.
Details: Proper pulley sizing ensures optimal machine performance, prevents belt slippage, and maintains desired speed ratios in mechanical systems.
Tips: Enter the input RPM, drive pulley diameter, and driven pulley diameter. All values must be > 0. The calculator will determine the output RPM.
Q1: What if I know the desired output RPM but need to find a pulley size?
A: Rearrange the formula: \( D2 = D1 \times (RPM1 / RPM2) \) to calculate the required pulley diameter.
Q2: Does belt thickness affect the calculation?
A: For precise calculations, use the pitch diameter (center of belt thickness) rather than outer pulley diameter.
Q3: Can I use this for multi-pulley systems?
A: This calculates single-stage reduction. For multiple pulleys, calculate each stage sequentially.
Q4: What about belt length calculations?
A: Belt length depends on pulley diameters and center distance, which isn't covered by this calculator.
Q5: How accurate is this calculation?
A: It's theoretically accurate for ideal systems without belt slip, but real-world factors may cause slight variations.