The Reciprocal Velocity Force of a Transmission

TL;DR

This paper explains the reciprocal velocity force in transmissions, illustrating its origin and effects, and discusses its significance for internal combustion engines and electric vehicles.

Contribution

It introduces a graphical method to derive the reciprocal velocity force from transmissions and explores its kinematic implications and applications.

Findings

The reciprocal velocity force naturally arises in transmission systems.

Graphical methods effectively explain the origin of this force.

Implications for engine and vehicle design are discussed.

Abstract

The reciprocal velocity force, $F(v)=\frac{C}{v}$, despite its theoretical and practical importance, is often neglected in mechanics courses. We use graphical methods to explain how such a force naturally arises from a device called a transmission, and discuss the kinematic consequences of this force. As an application, we discuss the role of this force for both internal combustion engines and electric vehicles.