1. Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 7 – Differential Equations in Engineering: The Leaking Bucket

2. Real-World Example Related to Topic! Many engineering disciplines (e.g., electrical, mechanical) commonly use: Differential equations Rate of change Deflating Tire

3. Today's Learning Objectives  After today's lab, students will 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.

4. Leaking Bucket Volumetric flow rate, Q Solution to the governing equation

5. Lab Equipment

6. Excel  Cell referencing  Functions (e.g., pi, sqrt, ln)

7. Important Takeaways  Essential to Engineers Differential equations Rate of change Data Analysis  Excel

8. Preview of Next Lab  Lab 8 – Differential Equations in Engineering: Spring – Mass Vibration