Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.
From the Text:
7.1 Laboratory Objective
The objective of this laboratory is to learn about first order differential equations and their
application to a leaking bucket.
7.2 Educational Objectives
After performing this experiment, students should be able to:
1. Understand the modeling of a leaking bucket dynamic system.
2. Measure the key parameters of a leaking bucket dynamic system.
3. Validate a mathematical model of the leaking bucket with observed data.
Differential equations are an integral part of engineering. Almost all system response can be
described by a differential equation. Knowledge of how to solve these problems is key to an
engineer's success. This lab looks at one classification of a differential equation; first order,
constant coefficient, and homogeneous.
This lab DOES NOT do the nonliunear TOrricelli's Law term, but rather linearizes.
Keywords: leaking bucket, Torricelli’s Law, linear, nonlinear, model, differential equation, first-order
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