
The calculation formula for pulley speed: Assuming the diameter and speed of the motor pulley (driving pulley) are d1 and n1, and the diameter and speed of the driven pulley are d2 and n2, the mechanical transmission principle yields the pulley speed calculation formula: d2/d1 = n1/n2 = i; that is, d2 = d1 × (n1/n2). Below are related introductions: Definition: Pulleys belong to the category of hub-like components, generally relatively large in size, and are primarily manufactured through casting or forging in terms of production processes. Larger-sized designs typically employ casting methods, with materials usually being cast iron (which has good casting properties), and rarely cast steel (as steel has poor casting properties). Representation: It is denoted by the symbol "n"; its international standard unit is r/s (revolutions per second) or r/min (revolutions per minute), and it is also represented as RPM (revolutions per minute, mainly used in Japan and Europe). When the unit is r/s, the value is equal to the frequency, i.e., n = f = 1/T, where T is the period of circular motion.

The pulley speed ratio refers to the speed relationship between two pulleys. Simply put, when a larger pulley drives a smaller one, the smaller pulley rotates faster; when a smaller pulley drives a larger one, the larger pulley rotates slower. For example, after modifying the transmission system on my motorcycle, when the driving pulley is half the size of the driven pulley, the rear wheel rotates at twice the speed of the front wheel. This ratio directly affects power transmission efficiency. An incorrect ratio can make the vehicle extremely fuel-inefficient or result in poor acceleration. When repairing, it's essential to measure the outer diameters of both pulleys accurately. Dividing the larger pulley's diameter by the smaller pulley's diameter gives the theoretical speed ratio. Last time, my friend's car had the wrong-sized pulley installed, causing the engine to rev high while the wheels lacked power, making highway driving particularly frustrating. It's best to stick to the original factory design when making modifications, as arbitrarily adjusting the speed ratio might damage the transmission.

Back when I was into car modifications, I often studied pulley speed ratios. The principle is quite simple: two wheels connected by a belt rotate together. The larger wheel moves more belt per rotation, so the smaller wheel has to turn more times to keep up. To calculate the speed ratio, divide the driven pulley's diameter by the driving pulley's diameter. For example, if the alternator pulley is smaller than the crankshaft pulley, it makes the alternator spin faster. But don't just focus on speed—oversized pulleys can cause belt slippage and overheating. Once, I DIY-ed a larger AC compressor pulley, and the belt started squealing and wore out prematurely. Before changing pulley sizes, measure the current RPM by filming the pulley with a tachometer app and counting rotations per unit time to calculate the actual speed ratio.

The pulley speed ratio, simply put, is the relationship between the speeds of the large and small wheels. If the driving pulley is small and the driven pulley is large, the driven pulley will rotate slower but with higher torque, providing more power for climbing hills. Conversely, if the driving pulley is large, the driven pulley will rotate faster, which is suitable for components requiring high speed. Back when I helped repair a thresher at the agricultural machinery station, the driving pulley had a diameter of 20 cm, while the driven pulley was 10 cm—meaning the small pulley rotated twice as fast as the large one. Too large a speed difference can accelerate belt wear, causing the edges to fray. In daily driving, pay attention to unusual belt noises or cracks, as these may indicate excessive friction due to mismatched pulley sizes. When replacing a belt, it's recommended to change the entire set of pulleys together, as replacing only one can disrupt the factory-designed ratio.

The speed ratio of belt drive depends on the size difference between the two pulleys. The principle is caused by the difference in the circumference where the belt contacts the wheels. A larger pulley with longer circumference moves the belt farther with the same number of rotations, so the smaller pulley must rotate faster. The formula is: driven pulley diameter divided by driving pulley diameter equals speed ratio. When I repaired harvesters, I often adjusted this - to accelerate the cylinder, I'd replace it with a smaller diameter driving pulley. However, the speed ratio can't be unlimited. When the size difference between pulleys exceeds three times, the belt tends to slip, and the belt groove wears into a V-shape. Last time, my neighbor replaced his mower's pulley with a non-original one, causing speed ratio imbalance that damaged the bearings. Regular checks of belt tension are also crucial, as looseness similarly affects transmission efficiency.

The pulley speed ratio is the velocity relationship determined by the diameter ratio of the two pulleys. A small pulley driving a large one reduces speed, like in car generators; a large pulley driving a small one increases speed, as seen in agricultural machinery. Practical applications must consider transmission load—reducing speed for heavy-duty equipment amplifies torque but increases belt stress. I modified a go-kart's drivetrain by replacing the 7cm drive pulley with a 5cm one, boosting rear wheel speed from 2000 to 2800 RPM, significantly improving straight-line acceleration. The biggest risk when adjusting speed ratios is belt misalignment—misaligned pulleys cause uneven belt wear, a lesson I learned the hard way after replacing three belts. When swapping pulleys, it's best to keep the original as a reference, ensuring dimensional errors stay within 1mm.


