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# Experimentsâ€‹

## Water Flow from a Tank: Parabolic Trajectory

Experiment #7 from Vernier Video Analysis: Conservation Laws and Forces

Education Level
High School
College
Subject
Physics

### Introduction

Bernoulli’s principle is an energy conservation statement for fluid flow. For a steady flow, the sum total of all forms of energyâ€”kinetic, potential, and internalâ€”at each point along the flow must be the same. This means that when the fluid is flowing faster (greater kinetic energy) at one point than another, there must be a decrease in potential (e.g., gravitational) or internal energy.

Torricelli’s theorem is a special case of Bernoulli’s principle, relating the outflow velocity from a water tank to the pressure head of the fluid within the tank. The greater the pressure head (depth of the liquid), the faster the fluid flow.

### Objectives

• Use video analysis techniques and projectile motion relationships to obtain velocity data for a stream of water.
• Use Bernoulli’s principle to derive Torricelli’s theorem.
• Predict the exit velocity of the stream of water and compare it to the measured velocity.

### Sensors and Equipment

This experiment features the following sensors and equipment. Additional equipment may be required.