The Paradox of the Recoil Force Acting on a Leaking Water Tank

TL;DR

This paper investigates the paradoxical calculation of recoil force on a leaking water tank, compares different theoretical approaches, and provides experimental evidence to clarify the correct physical description.

Contribution

It introduces three different theoretical options for recoil force calculation and experimentally resolves the paradox, offering a coherent understanding of water leakage dynamics.

Findings

Different models yield varying recoil force predictions

Experimental results favor a specific recoil force interpretation

Clarifies the physical principles behind water leakage recoil forces

Abstract

In the first part of the article, we will outline the paradoxical picture that arises when attempting to calculate the recoil force of the water leakage from a hole at the bottom of a water tank. We will present three different options for the recoil force acting on the water tank as a result of this leakage (in Chapters 1, 2 and 3). In the second part of the article, we will present an experiment that resolves this question (in Chapter 4). Finally (in Chapter 5), we will present a coherent picture of the description of the leakage and the result recoil force.