P-series Calculator

[Germaine Greenweig]

Thescope of Vespa gearing is less broad than Lambrettas but still complicated. There are 2 things that can be changed to result in higher or lower than standard gearing. The primary drive consists of a smaller helical gear that is integral with the clutch assembly and a larger helical gear riveted to a cluster of 4 toothed gears.

These must be installed as a matched pair except in some cases where a free gear with one less tooth can be added to the output shaft and still mate with the cast gear cluster (such as a T5 4th in a P200 gearbox. Lastly the tire size can be adjusted with slight modification to fit a nonstandard 4.00x10 tire. I also included a 3.00x8 tire for anyone who replaces their engine with a P-Series one on an older 8" wheel large frame and wants to keep the original 8" look.

Below are calculators for the three main Vespa gearbox options that will give gearing for a range of standard Vespa gearboxes without mixing separate gears from different models. These are currently only for P-series bikes. If anyone has info on 150 Supers and other 70's bikes please email me.

I have included some primary drives kits by Malossi and Polini. P125 & 150 ratios have also been shown in the P series calculator as they can be modified to fit a P200 clutch by unriveting the central clutch gear from a P125 clutch and reattaching it to a P200 style clutch. The final ratio of a conversion like this will be pretty low but try it and see if it works for what you are trying to achieve. The resulting page will show gear ratios for each of the 4 gears and show an RPM to speed analysis at various engine revolutions. Also I have added some Vespa Cosa clutch options that I was sent by email.

This calculator will try to find the infinite sum of arithmetic, geometric, power, and binomial series, as well as the partial sum, with steps shown (if possible). It will also check whether the series converges.

Our Series and Sum Calculator serves as an ideal tool for calculating the sum of different categories of sum and series. Whether you work with arithmetic or geometric sequences, our calculator will help you determine the sum quickly and efficiently.

A mathematical series is the summation of a sequence of terms given by a formula, that is, a certain rule. Each term of a sequence is typically generated based on the index (position) of that term in the sequence. For example, an infinite geometric series has the following form:

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In mathematics, a series is the sum of a sequence of numbers or terms. Series can be finite or infinite. Series are used to analyze and model various mathematical phenomena, making them fundamental concepts.

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Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage. This is true for many materials, over a wide range of voltages and currents, and the resistance and conductance of electronic components made from these materials remain constant. Ohm's Law is true for circuits that contain only resistive elements (no capacitors or inductors), regardless of whether the driving voltage or current is constant (DC) or time-varying (AC). It can be expressed using a number of equations, usually all three together, as shown below.

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Below is a formula wheel for Ohm's Law relationships between P, I, V, and R. This is essentially what the calculator does, and is just a representation of the algebraic manipulation of the equations above. To use the wheel, choose the variable to solve for in the middle of the wheel, then use the relationship for the two known variables within the cross section of the circle.

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