What Is The Drag Coefficient Of A Coffee Filter

past Josh Humpherys, Matt Hatch, Alex Merder, and Gwen Keller

Contents

1 Summary
1. 1.1 Process
2. 1.2 Data Drove
3. one.three Data Analysis
4. 1.iv Conclusion

Summary

The objective of this lab is to find the value of northward for falling coffee filters and compare to the accepted value, northward=ii. Also, determine the value of b, the drag coefficient. We are finding 2 theoretical values. The starting time is n, the exponent to which velocity is raised in the formula for the force due to air resistance. Nosotros are also finding b, the drag coefficient, which is different for every object, depending on its shape. We found n to b eastward two.3. Nosotros found b to be 2.26 kg/due south.

Process

Materials:

6 coffee filters
A stopwatch
A tall chair
A pen and newspaper to tape information

We started with one coffee filter. We held the coffee filter up to the ceiling (3m above the footing) and dropped information technology and timed the fall. We did three trials. We then repeated the procedure with 2 java filters, 3, four, 5, and 6.

Here's a video:

Video ‎(ii)‎.MOV

Here is the theoretical analysis from the equations from air resistance:

Information Collection

Hither is our table of calculations for the terminal velocity of a coffee filter.

Data Analysis

Here is our table of calculations for the final velocity of a coffee filter:

Hither is our mitt-drawn terminal velocity-vs-mass graph:

Here is our manus-drawn ln(Vf) versus ln(m) graph:

Here is our excel-drawn ln(Vf) versus ln(thousand) graph:

The slope of the tangent line is 1/ northward.

The y-intercept is the drag coefficient. Information technology is where ln(m) = 0, then k = 1kg.

Answers to xviii. and 19.

18. Our predictions were the aforementioned as the actual, since the LabQuest showed a abiding velocity for the fourth dimension that the filter was falling. Acceleration would be zero for about of the graph,

19. Yes, the average is that ,because the graph is direct part is the only office of the graph that shows data for the falling filter, and v_i is equal to v_f and all values in between.

This is our labquest and move sensor graph for the technological application of our lab. This graph is our best result because it doesn't record the average velocity. It records the instantaneous velocity.

Conclusion

Nosotros plant n to be 2.iii and b to be 2.23 kg/s.

Mr. Evers said we don't take to do error range.

Nosotros don't know if the existent value appears in the error range because nosotros didn't calculate an mistake range, just n = 2, and two.3 is close to 2, and so we probably did the lab right.

We encountered the fault of us not dropping the coffee filter at exactly the right fourth dimension. We could fix this by creating a dropping mechanism. We too have times that aren't perfectly authentic. We could fix that by hooking the timer up to the dropping mechanism. There is too wind. Nosotros could put it in a identify with no wind.